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Exciton-Polariton scattering for defect detection in cold atom Optical Lattices

Exciton-Polariton scattering for defect detection in cold atom Optical Lattices
Exciton-Polariton scattering for defect detection in cold atom Optical Lattices

a r X i v :0710.5448v 1 [q u a n t -p h ] 29 O c t 2007

Exciton-Polariton scattering for defect detection in cold atom Optical Lattices

Hashem Zoubi,and Helmut Ritsch

Institut f¨u r Theoretische Physik,Universit¨a t Innsbruck,Technikerstrasse 25,A-6020Innsbruck,Austria

(Dated:29October,2007)We study the e?ect of defects in the Mott insulator phase of ultracold atoms in an optical lattice on the dynamics of resonant excitations.Defects,which can either be empty sites in a Mott insulator state with one atom per site or a singly occupied site for a ?lling factor two,change the dynamics of Frenkel excitons and cavity polaritons.While the vacancies in ?rst case behave like hard sphere scatters for excitons,singly occupied sites in the latter case can lead to attractive or repulsive scattering potentials.We suggest cavity polaritons as observation tool of such defects,and show how the scattering can be controlled in changing the exciton-photon detuning.In the case of asymmetric optical lattice sites we present how the scattering e?ective potential can be detuned by the cavity photon polarization direction,with the possibility of a crossover from a repulsive into an attractive potential.

PACS numbers:42.50.-p,71.36.+c,71.35.Lk

I.INTRODUCTION

In one of the most signi?cant achievements of cold atom physics in recent years,a degenerate gas of ultra-cold atoms loaded into an optical lattice formed far o?resonance lasers was demonstrated to undergo a quantum phase transition from a super?uid into the Mott insulator phase [1].In the Mott insulator a perfectly regular lattice at half the laser wavelength with a ?xed number of atoms per site is achieved.This quantum phase transition from the super?uid into the Mott insulator was predicted and described by the Bose-Hubbard model [2,3].As the Mott insulator phase can be considered as an arti?cial crystal with parameters well controllable in time and space,this generates a close connection between cold atom optics and solid state physics,which has generated a plethora of subsequent work generalizing the model and identify-ing more and more solid state phenomena to be studied in such con?gurations [4].Furthermore,strong resonant light-matter coupling for a Bose-Einstein Condensate in an optical cavity has been achieved recently [5].

In previous work [6]we exhibited the similarities of such arti?cial crystals and molecular or noble atom crys-tals,where one gets the so called Frenkel-excitons.In particular for the special case of identical ground and ex-cited state optical lattice potentials the Mott insulator phase allows the formation of such excitons as collective electronic excitations in the whole optical lattice [7,8].If the optical lattice is placed between cavity mirrors with a single cavity mode close to resonance with the excitons,coherent superpositions of excitons and cavity photons can form.In the strong coupling regime the correspond-ing system eigenstates then are cavity polaritons,which have very similar behavior in solid state and cold atom systems [7,9].Going beyond the analogous solid state case,very interesting new physics appears in the case of lattices with two atoms per site,where the on-site res-onant excitations form symmetric (bright)and antisym-metric (dark)superposition states of individual excita-tions [10].While the symmetric states radiate and via

dipole-dipole coupling will form excitons and thus cav-ity polaritons,the antisymmetric states have no dipole moment,so that their excitations are long lived and stay localized at one https://www.doczj.com/doc/dd15735061.html,ttice asymmetries can lead to coupling between bright and dark states and produce strongly polarization dependent spectra.

Optical lattices are spatially and externally described by the laser ?eld and thus almost perfect over long dis-tances.Nevertheless due to imperfections in the dynam-ical formation of the Mott insulator,the appearance of some defects in the Mott insulator phase is unavoidable [1]and there are missing or extra atoms at some sites.Such defects might create decisive errors when using such lattices for quantum information processing or for observ-ing even more exotic quantum phases in such systems and some suggestion to repair such defects were already pre-sented [11].On the other hand they are hard to detect by direct observations of the atomic distribution.

In this paper we investigate the e?ect of such defects on the dynamical properties of excitons and cavity polari-tons.We concentrate in the case of a low defect number,where the exciton and cavity polariton picture still holds and these quasi-particles are only scattered by single https://www.doczj.com/doc/dd15735061.html,ly,the distance between each two defects is enough large for the formation of coherent excitons and cavity polaritons,which propagate as free quasi-particles between each two scattering processes.In principle de-fects can move by hopping among the lattice sites,but the corresponding time scale is so long that they can be considered frozen.Introducing more and more defects with faster hopping would then correspond to the tran-sition from the Mott to a super?uid atomic phase in the lattice,which will not be considered here.

Here we treat defects related to a missing atom:in the case of one atom per site this corresponds to vacant sites and while for two atoms per site a defect is a singly oc-cupied site.Interestingly in calculating the exciton and cavity polariton elastic scattering amplitude of such de-fects,the two case behave even qualitatively very di?er-ent.As a consequence of this defect scattering we show

2

how cavity polaritons can be used as observation tool to detect defects in the Mott insulator phase.

The paper is organized as follows.In section2we in-vestigate the exciton scattering o?a vacancy in an optical lattice in the Mott insulator with?lling factor one,which is generalized to the scattering of cavity polaritons in sec-tion3.The scattering of excitons and cavity polaritons o?a defect in the Mott insulator case with two atoms per site is treated in section4,where also we treat the special case of an optical lattice with asymmetric sites. II.EXCITON SCATTERING OF A V ACANCY IN AN OPTICAL LATTICE

Let us consider?rst a2D optical lattice at the magic wavelength?lled with one2-level atom per site in the Mott-insulator phase.Including dipole-dipole interac-tions resonant excitations of the atoms can be repre-sented as quasi-particles called Frenkel excitons[6].A single atom missing at the origin(r i=0)then creates an impurity in the arti?cial lattice of ultracold atoms, which for su?cient lattice depth stays localized and will not hop among the lattice sites as shown in?gure(1). We will now consider scattering of these excitons at such a missing atom(hole).As the scattering time is much shorter than the hopping time,the impurity assumed to be localized during the scattering process.

Adding the impurity to the ideal atom crystal just needs a small change in the system Hamiltonian H= H0+V derived in Ref.[6],whose components now read: H0= k ωex(k)B?k B k,V=? ωA B?0B0.(1) H0represents free excitons due to the resonant electronic excitation transfer among lattice sites induced by dipole-dipole interactions including the lattice symmetry.B?k and B k are the creation and annihilation operators of an exciton with in-plane wave vector k,respectively,and ωex(k)is the exciton dispersion.V is the impurity Hamil-tonian at the origin,where ωA is the atomic transition energy.

For an exciton the impurity thus appears as a potential well located at the origin,with depth ωA and radius a. Here we will not try to?nd the self-consistent eigenstates of H but to consider only the scattering problem.We can neglect trapping of an exciton in the impurity potential as a vacant site cannot absorb the trapping energy.Hence we consider only the scattering process of an exciton o?the impurity.

In the following we calculate the scattering amplitude of an exciton of an impurity.The initial exciton has wave vector k very far from the impurity,is scattered elasti-cally and found with wave vector k′also very far,and for elastic scattering we have|k′|=|k|.As the impu-rity is very deep with depth ωA,in order to calculate the scattering amplitude we need to go beyond the

Born

FIG.1:An impurity in1D optical lattice. approximation[12]even though the perturbation is con-?ned to a radius a.

The eigenstates of the free exciton Hamiltonian are H0|φk =E(k)|φk ,and the full Hamiltonian eigenstates obey H|ψ =E|ψ .The excitation eigenstates in the quasi-momentum space|φk are related to the lattice space eigenstates by|φk =1N i e i k·r i|φi ,where N is the number of lattice sites.The eigenstates form a complete basis,with the closure relation i|φi φi|=?1.

A general state|ψ can be expanded by|ψ = iψi|φi , with the expansion amplitudeψi= φi|ψ .

In the scattering problem the incoming exciton is pre-pared in a delocalized unperturbed exciton state|φk and the scattered exciton is observed also very far from the impurity.Hence,the whole system eigenstates|ψ needs to obey the boundary condition|ψ →|φk as V→0.The required solution is given by the Schwinger-Lippmann equation[12]

|ψ =|φk +G0V|ψ ,(2) where

G0=lim

η→0+ 1

√N k′limη→0+e i k′·r i

√N k′limη→0+1

3

As the scattering is elastic the energy E can be replaced by the incident exciton energy and we have E =E (k ).We get

ψi =

1

N

e i k ·r i +E a I os N k ′

lim η→0+

e i k ′

·r i

N

k ′lim

η→0+

1

2m ex ,

where

m ex is the exciton e?ective mass.For isotropic atoms in a square lattice of cubic symmetry,and in including only nearest neighbor interactions with coupling parameter J ,we get m ex =? /(2Ja 2),and ωex (0)=ωA ?2J .For a large enough 2D optical lattice,the sum over k ′can be approximated by a 2D integral given by

1

2π 2 d 2k ′.(9)

We get the two integrals

I os =?

2m ex

2π 2

d 2k ′lim

η→0+

e i k ′

·r i

2

a

k 2?k ′2+iη

.(10)

as shown in the appendix.The scattered exciton,follow-ing the de?nition in [13],is given by

ψi =1

N e i k ·r i ?f (k )

2kr e ikr ,(11)where r =|r i |is the distance of the i site from the origin.

We de?ned the scattering amplitude by

f (k )=

πE a

1+

πE a

π

?i π

2m ex a 2

.

(13)

The dipole-dipole interaction energy between di?er-ent sites in optical lattices is small,and hence the ex-citons have a small band width.In our case we have the

limit of E a ??ex so that the scattering amplitude is

f (k )≈

1

π)

,which exactly reproduces the result for the scattering o?a hard disk of radius a [14],with the scattering cross section de?ned by σ(k )=2π|f (k )|2.We thus conclude that an impurity generated by a missing atom in an optical lattice acts e?ectively like a hard disk of radius a .As the scattering is elastic,for an incident exciton with a ?xed and small wave vec-tor k we get a scattered exciton with a wave vector k ′,which equals in magnitude to the incident one,namely |k |=|k ′|=k .Hence if a big number of incident excitons with identical wave vector are scattered o?the impurity,we get a ring of radius k of scattered excitons.

The scattering amplitude is plotted in ?gure (2)as a function of wave vectors,k ,for lattice constant a =2000?A .The singularity at k =0is the 2D signature.

FIG.2:The scattering amplitude vs.wave vector k ,for zero detuning.

III.

CA VITY POLARITON SCATTERING OF A V ACANCY IN AN OPTICAL LATTICE

Let us now add cavity mirrors to our lattice as de-scribed in [6],where in the strong coupling regime,the system eigenstates are cavity polaritons.As polariton is a coherent superposition of an exciton and a photon it can scatter of the impurity due its excitonic part.The corresponding Hamiltonians then read:

H 0= k r

?r (k )A ?k r A k r ,V =?E a B ?

0B 0,

(14)where ?±(k )are the upper and lower polariton branch dispersions,given by:?±(k )=ωcav (k )+ωex (k )

δ2k +|g k

|2,and the exciton-photon detuning is de?ned by δk =ωcav (k )?ωex (k )

k 2+

π

4

medium dielectric constant,which here taken to be a vac-uum with ?=1.The polariton operators are de?ned by

A k ±=X ±k

B k +Y ±

k a k ,with a k the cavity photon oper-ator.X ±k and Y ±

k are the exciton and photon amplitude,

respectively,which are given by X ±

k

2?k

,and

Y ±k =

g k

N

k ′s

lim

η→0+

|X s k ′|

2e i k ′

·r i √

N

k ′s

lim

η→0+

|X s k ′|

2√

1?E a I st

,(18)

where we de?ned oscillating and static sums.For a large

optical lattice size the k -space can be assumed continuous

and the sums converted to the integrals I os =? s a

E r (k )?E s (k ′)+iη,I st =?

s

a

E r (k )?E s (k ′)+iη

.

(19)

We calculate ?rst the oscillating integral in case of scat-tering of small wave vector polaritons,that is in the limit ka ?1in the lower branch.In this limit the polari-ton dispersion can considered approximately parabolic with a polariton e?ective mass of m p .This is of the or-der of the cavity photon e?ective mass m p ≈( π)/(cL ).Hence,the lower polariton branch dispersion is taken to

be E ?(k )=E ?(0)+ 2k

2

2

a

k 2?k ′2+iη

.(20)

This is similar to the case of excitons of the previous

section except for the factor |X r k |2

and involving the much smaller polariton e?ective mass in place of the exciton mass.Hence we have m p ?m ex and the integration (see the appendix)gives

I os =?

πX 2k

2m p a 2.

We turn now to the second static integral.Here no oscillating exponent appears,and hence all wave vectors along the lower branch contribute,so that the interme-diate scattering state can be anywhere along the lower branch.Again for energy reasons we neglect the con-tribution of the upper branch.The integral then can be simpli?ed by using a model for the lower branch dis-persion in place of the real one [15].The lower branch is

5

divided into two parts.The ?rst part between 0≤k ≤k 0is taken to be of a parabolic dispersion with a polariton e?ective mass,where E (k )=E (0)+( 2k 2)/(2m p );and the second part between k 0≤k ≤π/a ,where π/a is the Brillouin boundary,is taken to be dispersion less with energy equal to the exciton energy at zero wave vector,where we have k 0?π/a .The intersection point between

the two parts is ?xed by 2k 2

0/(2m p )=E 0?E (0).The integration as shown in the appendix gives

I st =?

πX 2

k

k 0 ?i π4Λk ,(22)where Λk =E 0?E (k ).The ?rst term is the contribution

of the parabolic part and the second originates from the ?at part.The Ln (k/k 0)is large in the limit ka ?1,but for a laterally con?ned 2D optical lattice,and for the smallest wave vector k m which is di?erent from zero,due

to the fact ?p ?E a ,the term πX 2

k

m

k 0

is much smaller than one and can be neglected.Hence I st ≈π/(4Λk ).

The scattered polariton excitonic part reads

ψex

i =X k N e i k ·r i ?f (k )

2kr e ikr ,(23)where the scattering amplitude is given by

f (k )=

X 2k

πE a 1? πE a

2m eff

,with

the e?ective mass m eff =? /(4J 1a 2)and up to a rescal-ing is analogous to the previous case.Naturally within a cavity only the symmetric excitons are coupled

to the photons to form cavity polaritons (for details see [10]).At ?rst sight there seems to be nothing new in this case.However,we will show that the defect,plotted schemati-

6

cally in ?gure (4),which in this case constitutes a single atom as compared to two,here acts substantially di?er-ent from the simple no atom hole in the case of a single occupied lattice.Physically this can be understood from the fact that a single atom can store almost the same amount of energy as a pair if only one photon excitations are considered.

Let us now calculate the scattering amplitude of exci-tons and polaritons of this impurity.The scattering is for the symmetric excitons,and for the polariton exci-tonic part.The antisymmetric states are not involved in the scattering process,as they are on-site localized and posses no dipole

moment.

1

FIG.4:An impurity in 1D optical lattice.

Again we concentrate on the scattering of long wave length excitons with a parabolic dispersion described by an e?ective mass.The scattering amplitude is found to be

f (k )=

πJ 0

1+

πJ 0

π

?i π

ln (ka

2?p

4Λk

.(26)

Here Λk =E 0?E (k ),where E 0= ωA + J 0,and where J 0?J 1.In the limit of |J 0|?Λk we get f (k )≈?X 2k

2Λk

2?p

,and the

scattering,for J 0<0mimics a square barrier of height

π|J 0|X 2

k /2and width a .As shown in the previous chap-ter,the polariton scattering of an impurity can be modu-lated by controlling the exciton-photon detuning.As we

change δk ,then X 2

k and Λk are strongly changed,and as a result the scattering amplitude f (k )and the e?ective potential strength are changed.

Introducing the numerical examples used in the pre-vious section with transfer energy J 0=?0.001eV the scattering amplitude is plotted in ?gure (5)as a func-tion of the exciton-photon detuning,for incident waves,namely k ≈0.It is clear that maximum scattering is ob-tained for zero detuning.As here the transfer energy J 0is smaller than,and close to,the coupling energy g ,the scattering amplitude asymmetry for negative and posi-tive detuning is much more pronounced relative the case of the previous section.For k =0,at zero detuning,the lower branch polariton is half exciton and half photon.For negative detuning,at k =0,the lower branch polari-ton is more photonic than excitonic;while for positive detuning the opposite the lower branch polariton is more excitonic than photonic.Therefore,the positive detuning scattering amplitude is larger than the negative one.

FIG.5:The scattering amplitude vs.exciton-photon detun-ing,for k ≈0polaritons.

A.An impurity in an asymmetric optical lattice

One of the most interesting phenomena for excitons in doubly occupied lattices appears in the case of asymmet-ric optical lattice sites [10].We get a strong polarization dependence of the exciton and polariton energies.Here we discuss the consequence of this for their scattering amplitudes o?impurities.

If one of the orthogonal pairs of counter propagating lasers forming the lattice potentials has a di?erent inten-

7

sity,the potential is elongated in one direction,e.g.x. Hence the two atoms at one site will have a larger average distance R in the x direction as shown in?gure(6).The atomic transition dipole induced by the cavity photon is assumed to be in the(x,y)-plane μ=μ(cosθ,sinθ), whereθis the angle between the dipole μand the x axis.The resonance dipole-dipole interaction between the two on-site atoms is J0(θ)= ˉJ 1?3cos2θ , where ˉJ=μ2

2?p 4Λk(θ) .(27)

We plot this scattering amplitude as a function ofθfor di?erent values ofˉJ,and for k≈0,again using the numerical values of section3.We also have E c(0)= E A+J(0),and J1=10?7eV.In?gure(7)the plot is for ˉJ=10?4eV,where |g|= ˉJ.Figure(8)is for ˉJ= 5×10?4eV,where |g|< ˉJ.Note that the scattering amplitude changes sign atθ≈54.74and we can turn of scattering by using this proper angle.In?gure(9)we plot this for ˉJ=10?3eV.Here two resonances appear. Figure(10)is for ˉJ=5×10?3eV.Now the resonances tend to the negative-positive crossover angle.

The negative scattering amplitude corresponds to a re-pulsive e?ective potential,and polaritons scattered away of the impurity.While the positive scattering amplitude corresponds to an attractive potential.Here even the for-mation of bound states could be expected,allowing for localized polaritons.The bound state

signature appears in the pole of the scattering amplitude of Eq.(27)but by including the Ln term of Eq.(22)in the denominator.We get a shallow bound state that falls inside the polariton line width,and which presents as a resonance scattering state inside a continuum.

V.SUMMARY

We demonstrated that defects in an optical lattice in the Mott insulator phase will change the dynamics of FIG.7:The scattering amplitude vs.θ,for k≈0polaritons, with ˉJ=10?4eV.

FIG.8:The scattering amplitude vs.θ,for k≈0polaritons, with ˉJ=5×10?4eV.

resonant excitons and cavity polaritons.For a very low density of defects,the exciton and polariton pictures still hold and the defect simply acts as a scatterer for such quasi-particles.We calculated the scattering amplitude for excitons and polaritons showing that the defects can be approximated by e?ective potentials.In the case of one atom per site the vacancy scattering e?ective poten-tial for excitons is a hard disk of a radius equal to the lattice constant a,which is quite di?erent for polaritons, where only the excitonic part contributes signi?cantly to the scattering.The scattering e?ective potential for long wave length polaritons just is a square barrier of height2|X k|2Λk and width a,where|X k|2is the exciton weight in the cavity polariton,and which appears here as the scattering is only for the polariton excitonic part. For the case of zero exciton-photon detuning,and in the

8

FIG.9:The scattering amplitude vs.θ,for k≈0polaritons, with ˉJ=10?3eV.

FIG.10:The scattering amplitude vs.θ,for k≈0polaritons, with ˉJ=5×10?3eV.

limit ka?1,we have|X k|2=1/2,andΛk is of the order of the Rabi splitting.While for large negative de-tuning we have|X k|2?1,andΛk is of the order of the exciton-photon detuning.As|X k|2andΛk are a function of the detuning,hence the scattering amplitude can be controlled by changing the detuning,with a scattering resonance at zero detuning.

In the case of a two atoms per site lattice with a defect represented by a single atom site,we found two distinct cases.If the on site dipole-dipole coupling J0is larger than the Rabi splitting,we got similar results as in the case of one atom per site.But if J0is smaller than the Rabi splitting,hence the polariton scattering e?ective potential is identical to the scattering of a square barrier of height J0and width a.The parameter J0can be eas-ily controlled in changing the photon polarization,as we presented for the case of asymmetric optical lattice sites. Also we showed that at a?xed angle J0can change sign from positive to negative,and then also the scattering amplitude changes sign.

We conclude that cavity polaritons can be used as a useful tool to observe defects in an optical lattice.As the polariton is part exciton and part photon,where the photon part can be controlled externally,the above re-sults suggest that one can recognize the kind of defect in each case.For example in transmission or re?ection ex-periments,for an incident?eld with a?xed wave vector k,in the transmitted or re?ected signals we get a scatter-ing ring of radius k with the appropriate intensity which obtained from the scattering cross section.

Acknowledgments

The work was supported by the Austrian Science Fund (FWF),through the Lise-Meitner Program(M977). APPENDIX A:THE CALCULATION OF EQ.(10)

INTEGRALS

Here we give the calculation details of the two integrals of Eqs.(10).

The oscillating integral is written explicitly as

I os=?

2m ex

2π 2

+∞0dk′ +π?πdθlimη→0+k′e ik′r sinθ

2π +π?πdθe ik′r sinθ,(A2) where J0(x)is the zero order Bessel function of the?rst kind.We have now

I os=

2m ex

2π 22π

+∞0dk′limη→0+k′J0(k′r)

k′2?k2?iη=i

π

9 have the asymptotic expansions

J0(x)~ πx cos x?π24 ,(A5)

which yield

H(1)0(x)~ πx e i(x?π/4).(A6)

The result is

I os=?πiπ

2 a k′2?k2?iη.(A8)

Here,due to the fact that no oscillations exist,it is not

possible to extend the integral to in?nity.We used a

cut-o?at the Brillouin zone boundary.Such cut-o?is a

physical one as the maximum exciton wave vector is for

wave length equals the lattice constant.The integration,

in the limit of ka?1,yields

I st=?

π

π ?iπ

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to与for的用法和区别 一般情况下, to后面常接对象; for后面表示原因与目的为多。 Thank you for helping me. Thanks to all of you. to sb.表示对某人有直接影响比如,食物对某人好或者不好就用to; for表示从意义、价值等间接角度来说,例如对某人而言是重要的,就用for. for和to这两个介词,意义丰富,用法复杂。这里仅就它们主要用法进行比较。 1. 表示各种“目的” 1. What do you study English for? 你为什么要学英语? 2. She went to france for holiday. 她到法国度假去了。 3. These books are written for pupils. 这些书是为学生些的。 4. hope for the best, prepare for the worst. 作最好的打算,作最坏的准备。 2.对于 1.She has a liking for painting. 她爱好绘画。 2.She had a natural gift for teaching. 她对教学有天赋/ 3.表示赞成同情,用for不用to. 1. Are you for the idea or against it? 你是支持还是反对这个想法? 2. He expresses sympathy for the common people.. 他表现了对普通老百姓的同情。 3. I felt deeply sorry for my friend who was very ill. 4 for表示因为,由于(常有较活译法) 1 Thank you for coming. 谢谢你来。 2. France is famous for its wines. 法国因酒而出名。 5.当事人对某事的主观看法,对于(某人),对…来说(多和形容词连用)用介词to,不用for.. He said that money was not important to him. 他说钱对他并不重要。 To her it was rather unusual. 对她来说这是相当不寻常的。 They are cruel to animals. 他们对动物很残忍。 6.for和fit, good, bad, useful, suitable 等形容词连用,表示适宜,适合。 Some training will make them fit for the job. 经过一段训练,他们会胜任这项工作的。 Exercises are good for health. 锻炼有益于健康。 Smoking and drinking are bad for health. 抽烟喝酒对健康有害。 You are not suited for the kind of work you are doing. 7. for表示不定式逻辑上的主语,可以用在主语、表语、状语、定语中。 1.It would be best for you to write to him. 2.The simple thing is for him to resign at once. 3.There was nowhere else for me to go. 4.He opened a door and stood aside for her to pass.

初中语文古文赏析曹操《短歌行》赏析(林庚)

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曹操《短歌行》其二翻译及赏析

曹操《短歌行》其二翻译及赏析 引导语:曹操(155—220),字孟德,小名阿瞒,《短歌行 二首》 是曹操以乐府古题创作的两首诗, 第一首诗表达了作者求贤若渴的心 态,第二首诗主要是曹操向内外臣僚及天下表明心迹。 短歌行 其二 曹操 周西伯昌,怀此圣德。 三分天下,而有其二。 修奉贡献,臣节不隆。 崇侯谗之,是以拘系。 后见赦原,赐之斧钺,得使征伐。 为仲尼所称,达及德行, 犹奉事殷,论叙其美。 齐桓之功,为霸之首。 九合诸侯,一匡天下。 一匡天下,不以兵车。 正而不谲,其德传称。 孔子所叹,并称夷吾,民受其恩。 赐与庙胙,命无下拜。 小白不敢尔,天威在颜咫尺。 晋文亦霸,躬奉天王。 受赐圭瓒,钜鬯彤弓, 卢弓矢千,虎贲三百人。 威服诸侯,师之所尊。 八方闻之,名亚齐桓。 翻译 姬昌受封为西伯,具有神智和美德。殷朝土地为三份,他有其中两分。 整治贡品来进奉,不失臣子的职责。只因为崇侯进谗言,而受冤拘禁。 后因为送礼而赦免, 受赐斧钺征伐的权利。 他被孔丘称赞, 品德高尚地位显。 始终臣服殷朝帝王,美名后世流传遍。齐桓公拥周建立功业,存亡继绝为霸 首。

聚合诸侯捍卫中原,匡正天下功业千秋。号令诸侯以匡周室,主要靠的不是 武力。 行为磊落不欺诈,美德流传于身后。孔子赞美齐桓公,也称赞管仲。 百姓深受恩惠,天子赐肉与桓公,命其无拜来接受。桓公称小白不敢,天子 威严就在咫尺前。 晋文公继承来称霸,亲身尊奉周天王。周天子赏赐丰厚,仪式隆重。 接受玉器和美酒,弓矢武士三百名。晋文公声望镇诸侯,从其风者受尊重。 威名八方全传遍,名声仅次于齐桓公。佯称周王巡狩,招其天子到河阳,因 此大众议论纷纷。 赏析 《短歌行》 (“周西伯昌”)主要是曹操向内外臣僚及天下表明心 迹,当他翦灭群凶之际,功高震主之时,正所谓“君子终日乾乾,夕惕若 厉”者,但东吴孙权却瞅准时机竟上表大说天命而称臣,意在促曹操代汉 而使其失去“挟天子以令诸侯”之号召, 故曹操机敏地认识到“ 是儿欲据吾著炉上郁!”故曹操运筹谋略而赋此《短歌行 ·周西伯 昌》。 西伯姬昌在纣朝三分天下有其二的大好形势下, 犹能奉事殷纣, 故孔子盛称 “周之德, 其可谓至德也已矣。 ”但纣王亲信崇侯虎仍不免在纣王前 还要谗毁文王,并拘系于羑里。曹操举此史实,意在表明自己正在克心效法先圣 西伯姬昌,并肯定他的所作所为,谨慎惕惧,向来无愧于献帝之所赏。 并大谈西伯姬昌、齐桓公、晋文公皆曾受命“专使征伐”。而当 今天下时势与当年的西伯、齐桓、晋文之际颇相类似,天子如命他“专使 征伐”以讨不臣,乃英明之举。但他亦效西伯之德,重齐桓之功,戒晋文 之诈。然故作谦恭之辞耳,又谁知岂无更讨封赏之意乎 ?不然建安十八年(公元 213 年)五月献帝下诏曰《册魏公九锡文》,其文曰“朕闻先王并建明德, 胙之以土,分之以民,崇其宠章,备其礼物,所以藩卫王室、左右厥世也。其在 周成,管、蔡不静,惩难念功,乃使邵康公赐齐太公履,东至于海,西至于河, 南至于穆陵,北至于无棣,五侯九伯,实得征之。 世祚太师,以表东海。爰及襄王,亦有楚人不供王职,又命晋文登为侯伯, 锡以二辂、虎贲、斧钺、禾巨 鬯、弓矢,大启南阳,世作盟主。故周室之不坏, 系二国是赖。”又“今以冀州之河东、河内、魏郡、赵国、中山、常 山,巨鹿、安平、甘陵、平原凡十郡,封君为魏公。锡君玄土,苴以白茅,爰契 尔龟。”又“加君九锡,其敬听朕命。” 观汉献帝下诏《册魏公九锡文》全篇,尽叙其功,以为其功高于伊、周,而 其奖却低于齐、晋,故赐爵赐土,又加九锡,奖励空前。但曹操被奖愈高,心内 愈忧。故曹操在曾早在五十六岁写的《让县自明本志令》中谓“或者人见 孤强盛, 又性不信天命之事, 恐私心相评, 言有不逊之志, 妄相忖度, 每用耿耿。

2008年浙师大《外国文学名著鉴赏》期末考试答案

(一)文学常识 一、古希腊罗马 1.(1)宙斯(罗马神话称为朱庇特),希腊神话中最高的天神,掌管雷电云雨,是人和神的主宰。 (2)阿波罗,希腊神话中宙斯的儿子,主管光明、青春、音乐、诗歌等,常以手持弓箭的少年形象出现。 (3)雅典那,希腊神话中的智慧女神,雅典城邦的保护神。 (4)潘多拉,希腊神话中的第一个女人,貌美性诈。私自打开了宙斯送她的一只盒子,里面装的疾病、疯狂、罪恶、嫉妒等祸患,一齐飞出,只有希望留在盒底,人间因此充满灾难。“潘多拉的盒子”成为“祸灾的来源”的同义语。 (5)普罗米修斯,希腊神话中造福人间的神。盗取天火带到人间,并传授给人类多种手艺,触怒宙斯,被锁在高加索山崖,受神鹰啄食,是一个反抗强暴、不惜为人类牺牲一切的英雄。 (6)斯芬克司,希腊神话中的狮身女怪。常叫过路行人猜谜,猜不出即将行人杀害;后因谜底被俄底浦斯道破,即自杀。后常喻“谜”一样的人物。与埃及狮身人面像同名。 2.荷马,古希腊盲诗人。主要作品有《伊利亚特》和《奥德赛》,被称为荷马史诗。《伊利亚特》叙述十年特洛伊战争。《奥德赛》写特洛伊战争结束后,希腊英雄奥德赛历险回乡的故事。马克思称赞它“显示出永久的魅力”。 3.埃斯库罗斯,古希腊悲剧之父,代表作《被缚的普罗米修斯》。6.阿里斯托芬,古希腊“喜剧之父”代表作《阿卡奈人》。 4.索福克勒斯,古希腊重要悲剧作家,代表作《俄狄浦斯王》。5.欧里庇得斯,古希腊重要悲剧作家,代表作《美狄亚》。 二、中世纪文学 但丁,意大利人,伟大诗人,文艺复兴的先驱。恩格斯称他是“中世纪的最后一位诗人,同时又是新时代的最初一位诗人”。主要作品有叙事长诗《神曲》,由地狱、炼狱、天堂三部分组成。《神曲》以幻想形式,写但丁迷路,被人导引神游三界。在地狱中见到贪官污吏等受着惩罚,在净界中见到贪色贪财等较轻罪人,在天堂里见到殉道者等高贵的灵魂。 三、文艺复兴时期 1.薄迦丘意大利人短篇小说家,著有《十日谈》拉伯雷,法国人,著《巨人传》塞万提斯,西班牙人,著《堂?吉诃德》。 2.莎士比亚,16-17世纪文艺复兴时期英国伟大的剧作家和诗人,主要作品有四大悲剧——《哈姆雷特》、《奥赛罗》《麦克白》、《李尔王》,另有悲剧《罗密欧与朱丽叶》等,喜剧有《威尼斯商人》《第十二夜》《皆大欢喜》等,历史剧有《理查二世》、《亨利四世》等。马克思称之为“人类最伟大的戏剧天才”。 四、17世纪古典主义 9.笛福,17-18世纪英国著名小说家,被誉为“英国和欧洲小说之父”,主要作品《鲁滨逊漂流记》,是英国第一部现实主义长篇小说。10.弥尔顿,17世纪英国诗人,代表作:长诗《失乐园》,《失乐园》,表现了资产阶级清教徒的革命理想和英雄气概。 25.拉伯雷,16世纪法国作家,代表作:长篇小说《巨人传》。 26.莫里哀,法国17世纪古典主义文学最重要的作家,法国古典主义喜剧的创建者,主要作品为《伪君子》《悭吝人》(主人公叫阿巴公)等喜剧。 五、18世纪启蒙运动 1)歌德,德国文学最高成就的代表者。主要作品有书信体小说《少年维特之烦恼》,诗剧《浮士德》。 11.斯威夫特,18世纪英国作家,代表作:《格列佛游记》,以荒诞的情节讽刺了英国现实。 12.亨利·菲尔丁,18世纪英国作家,代表作:《汤姆·琼斯》。 六、19世纪浪漫主义 (1拜伦, 19世纪初期英国伟大的浪漫主义诗人,代表作为诗体小说《唐璜》通过青年贵族唐璜的种种经历,抨击欧洲反动的封建势力。《恰尔德。哈洛尔游记》 (2雨果,伟大作家,欧洲19世纪浪漫主义文学最卓越的代表。主要作品有长篇小说《巴黎圣母院》、《悲惨世界》、《笑面人》、《九三年》等。《悲惨世界》写的是失业短工冉阿让因偷吃一片面包被抓进监狱,后改名换姓,当上企业主和市长,但终不能摆脱迫害的故事。《巴黎圣母院》 弃儿伽西莫多,在一个偶然的场合被副主教克洛德.孚罗洛收养为义子,长大后有让他当上了巴黎圣母院的敲钟人。他虽然十分丑陋而且有多种残疾,心灵却异常高尚纯洁。 长年流浪街头的波希米亚姑娘拉.爱斯梅拉达,能歌善舞,天真貌美而心地淳厚。青年贫诗人尔比埃尔.甘果瓦偶然同她相遇,并在一个更偶然的场合成了她名义上的丈夫。很有名望的副教主本来一向专心于"圣职",忽然有一天欣赏到波希米亚姑娘的歌舞,忧千方百计要把她据为己有,对她进行了种种威胁甚至陷害,同时还为此不惜玩弄卑鄙手段,去欺骗利用他的义子伽西莫多和学生甘果瓦。眼看无论如何也实现不了占有爱斯梅拉达的罪恶企图,最后竟亲手把那可爱的少女送上了绞刑架。 另一方面,伽西莫多私下也爱慕着波希米亚姑娘。她遭到陷害,被伽西莫多巧计救出,在圣母院一间密室里避难,敲钟人用十分纯朴和真诚的感情去安慰她,保护她。当她再次处于危急中时,敲钟人为了援助她,表现出非凡的英勇和机智。而当他无意中发现自己的"义父"和"恩人"远望着高挂在绞刑架上的波希米亚姑娘而发出恶魔般的狞笑时,伽西莫多立即对那个伪善者下了最后的判决,亲手把克洛德.孚罗洛从高耸入云的钟塔上推下,使他摔的粉身碎骨。 (3司汤达,批判现实主义作家。代表作《红与黑》,写的是不满封建制度的平民青年于连,千方百计向上爬,最终被送上断头台的故事。“红”是将军服色,指“入军界”的道路;“黑”是主教服色,指当神父、主教的道路。 14.雪莱,19世纪积极浪漫主义诗人,欧洲文学史上最早歌颂空想社会主义的诗人之一,主要作品为诗剧《解放了的普罗米修斯》,抒情诗《西风颂》等。 15.托马斯·哈代,19世纪英国作家,代表作:长篇小说《德伯家的苔丝》。 16.萨克雷,19世纪英国作家,代表作:《名利场》 17.盖斯凯尔夫人,19世纪英国作家,代表作:《玛丽·巴顿》。 18.夏洛蒂?勃朗特,19世纪英国女作家,代表作:长篇小说《简?爱》19艾米丽?勃朗特,19世纪英国女作家,夏洛蒂?勃朗特之妹,代表作:长篇小说《呼啸山庄》。 20.狄更斯,19世纪英国批判现实主义文学的重要代表,主要作品为长篇小说《大卫?科波菲尔》、《艰难时世》《双城记》《雾都孤儿》。21.柯南道尔,19世纪英国著名侦探小说家,代表作品侦探小说集《福尔摩斯探案》是世界上最著名的侦探小说。 七、19世纪现实主义 1、巴尔扎克,19世纪上半叶法国和欧洲批判现实主义文学的杰出代表。主要作品有《人间喜剧》,包括《高老头》、《欧也妮·葛朗台》、《贝姨》、《邦斯舅舅》等。《人间喜剧》是世界文学中规模最宏伟的创作之一,也是人类思维劳动最辉煌的成果之一。马克思称其“提供了一部法国社会特别是巴黎上流社会的卓越的现实主义历史”。

for和to区别

1.表示各种“目的”,用for (1)What do you study English for 你为什么要学英语? (2)went to france for holiday. 她到法国度假去了。 (3)These books are written for pupils. 这些书是为学生些的。 (4)hope for the best, prepare for the worst. 作最好的打算,作最坏的准备。 2.“对于”用for (1)She has a liking for painting. 她爱好绘画。 (2)She had a natural gift for teaching. 她对教学有天赋/ 3.表示“赞成、同情”,用for (1)Are you for the idea or against it 你是支持还是反对这个想法? (2)He expresses sympathy for the common people.. 他表现了对普通老百姓的同情。 (3)I felt deeply sorry for my friend who was very ill. 4. 表示“因为,由于”(常有较活译法),用for (1)Thank you for coming. 谢谢你来。

(2)France is famous for its wines. 法国因酒而出名。 5.当事人对某事的主观看法,“对于(某人),对…来说”,(多和形容词连用),用介词to,不用for. (1)He said that money was not important to him. 他说钱对他并不重要。 (2)To her it was rather unusual. 对她来说这是相当不寻常的。 (3)They are cruel to animals. 他们对动物很残忍。 6.和fit, good, bad, useful, suitable 等形容词连用,表示“适宜,适合”,用for。(1)Some training will make them fit for the job. 经过一段训练,他们会胜任这项工作的。 (2)Exercises are good for health. 锻炼有益于健康。 (3)Smoking and drinking are bad for health. 抽烟喝酒对健康有害。 (4)You are not suited for the kind of work you are doing. 7. 表示不定式逻辑上的主语,可以用在主语、表语、状语、定语中。 (1)It would be best for you to write to him. (2) The simple thing is for him to resign at once.

外国名著赏析论文

题目:浅析从简爱到女性的尊严和爱 学院工商学院 专业新闻学3 学号 姓名闫万里 学科外国文学名着赏析 [摘要] 十九世纪中期,英国伟大的女性存在主义先驱,着名作家夏洛蒂勃朗特创作出了她的代表作--《简爱》,当时轰动了整个文坛,它是一部具有浓厚浪漫主义色彩的现实主义小说,被认为是作者"诗意的生平"的写照。它在问世后的一百多年里,它始终保持着历史不败的艺术感染力。直到现在它的影响还继续存在。在作品的序幕、发展、高潮和结尾中,女主人公的叛逆、自由、平等、自尊、纯洁的个性都是各个重点章节的主旨,而这些主旨则在女主人公的爱情观中被展露的淋漓尽致,它们如同乌云上方的星汉,灼灼闪耀着光芒,照亮着后来的女性者们追求爱情的道路。? [关键词] 自尊个性独特新女性主义自由独立平等 《简爱》是一部带有自转色彩的长篇小说,它阐释了这样一个主题:人的价值=尊严+爱。从小就成长在一个充满暴力的环境中的简爱,经历了同龄人没有的遭遇。她要面对的是舅妈的毫无人性的虐待,表兄的凶暴专横和表姐的傲慢冷漠,尽管她尽力想“竭力赢得别人的好感”,但是事实告诉她这都是白费力气的,因此她发出了“不公平啊!--不公平!”的近乎绝望的呼喊。不公平的生长环境,使得简爱从小就向往平等、自由和爱,这些愿望在她后来的成长过程中表现无疑,

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双宾语tofor的用法

1. 两者都可以引出间接宾语,但要根据不同的动词分别选用介词to 或for: (1) 在give, pass, hand, lend, send, tell, bring, show, pay, read, return, write, offer, teach, throw 等之后接介词to。 如: 请把那本字典递给我。 正:Please hand me that dictionary. 正:Please hand that dictionary to me. 她去年教我们的音乐。 正:She taught us music last year. 正:She taught music to us last year. (2) 在buy, make, get, order, cook, sing, fetch, play, find, paint, choose,prepare, spare 等之后用介词for 。如: 他为我们唱了首英语歌。 正:He sang us an English song. 正:He sang an English song for us. 请帮我把钥匙找到。 正:Please find me the keys. 正:Please find the keys for me. 能耽搁你几分钟吗(即你能为我抽出几分钟吗)? 正:Can you spare me a few minutes? 正:Can you spare a few minutes for me? 注:有的动词由于搭配和含义的不同,用介词to 或for 都是可能的。如: do sb a favou r do a favour for sb 帮某人的忙 do sb harnn= do harm to sb 对某人有害

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短歌行赏析

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目睹百姓颠沛流离,肝肠寸断,渴望建功立业而不得,因而发出人生苦短的忧叹。这个点我们可从他的另一首诗《蒿里行》中得到佐证:“白骨露于野,千里无鸡鸣。生民百遗一,念之断人肠。” 第二节抒写诗人对贤才的渴求。“青青子衿,悠悠我心”,是引用《诗经?郑风?子衿》中的成句。“青衿”,周代读书人的服装,这里指代有学问的人。“悠悠”,长久的样子,形容思念之情。这两句意思是:你的衣领青青啊,总是让我如此挂念。原诗后两句是:“纵我不往,子宁不嗣音?”意思是:虽然我不能去找你,你为什么不主动给我音信?曹操因为事实上不可能一个一个地去找那些贤才,所以他使用这种含蓄的话来提醒他们,希望贤才主动来归。“但为君故,沉吟至今。”“沉吟”,低声叨念,表示渴念。这两句意思是:只因为你的缘故,让我渴念到如今。“青青子衿,悠悠我心。但为君故,沉吟至今。”四句以女子对心爱的男子的思念比喻自己对贤才的渴求。“呦呦鹿鸣,食野之苹。我有嘉宾,鼓瑟吹笙。”这四句引自《诗经?小雅?鹿鸣》,《鹿鸣》是一首描写贵族盛宴热情款待尊贵客人的的诗歌。前两句起兴,意思是:野鹿呦呦呦呦地叫,欢快地吃着野地里的艾蒿。以下各句描写宾客欢宴的场面,这里引用的两句意思是:我有很多尊贵的客人,席间弹起琴瑟,吹起笙乐。诗人引用这几句诗,表示自己对贤才的热情。 第三节抒写诗人对贤才难得的忧思和既得贤才的欣喜。“明明如月,何时可掇?”“明月”,比喻人才。“掇”,拾取,摘取。意思是:贤才有如天上的明月,我什么时候才能摘取呢?“忧从中来,不可断绝。”因为求才不得,内心不禁产生忧愁,这种忧愁无法排解。“越陌度阡,枉用相存。契阔谈讌,心念旧 恩。”“陌”、“阡”,都是指田间小路,东西向叫“陌”,南北向叫“阡”。“枉”,枉驾,屈驾。“用”,以。“存”,探问,问候。“契阔”,久别重逢。

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