1995年，陷俘超冷原子氣體玻色愛因斯坦凝聚的發(fā)現(xiàn)給玻色凝聚稀薄氣體的理論和實(shí)驗(yàn)研究都帶來(lái)了爆炸性的發(fā)展。本書提供了詳細(xì)的超流玻色氣體的非平衡態(tài)行為和雙組分動(dòng)力學(xué)理論。本書利用簡(jiǎn)單的微觀模型，在無(wú)碰撞和碰撞為主的區(qū)域都給出了清晰明了的集體模式。
《有限溫度玻色凝聚氣體（英文影印版）》適合超冷原子物理，原子、分子和光物理，以及凝聚態(tài)物理領(lǐng)域的研究者和研究生閱讀。
《有限溫度玻色凝聚氣體》是影印版英文專著，原書由劍橋大學(xué)出版社于2009年出版。玻色愛因斯坦凝聚在近代物理學(xué)中影響很遠(yuǎn)，而超冷原子等的研究也是近來(lái)非常受關(guān)注的方向，并已經(jīng)催生了應(yīng)用研究。本書對(duì)于意欲了解這一領(lǐng)域的讀者非常有幫助，對(duì)于專業(yè)的研究者和研究生也是難得的參考書。
(加拿大)格里芬（A. Griffin），加拿大多倫多大學(xué)教授。
Preface page ix
1 Overview and introduction 1
1.1 Historical overview of Bose superfluids 9
1.2 Summary of chapters 12
2 Condensate dynamics at T = 0 19
2.1 Gross-Pitaevskii (GP) equation 20
2.2 Bogoliubov equations for condensate fluctuations 28
3 Coupled equations for the condensate
and thermal cloud 32
3.1 Generalized GP equation for the condensate 33
3.2 Boltzmann equation for the noncondensate atoms 39
3.3 Solutions in thermal equilibrium 43
3.4 Region of validity of the ZNG equations 46
4 Green's functions and self-energy approximations 54
4.1 Overview of Green's function approach 54 Preface page ix
1 Overview and introduction 1
1.1 Historical overview of Bose superfluids 9
1.2 Summary of chapters 12
2 Condensate dynamics at T = 0 19
2.1 Gross-Pitaevskii (GP) equation 20
2.2 Bogoliubov equations for condensate fluctuations 28
3 Coupled equations for the condensate
and thermal cloud 32
3.1 Generalized GP equation for the condensate 33
3.2 Boltzmann equation for the noncondensate atoms 39
3.3 Solutions in thermal equilibrium 43
3.4 Region of validity of the ZNG equations 46
4 Green's functions and self-energy approximations 54
4.1 Overview of Green's function approach 54
4.2 Nonequilibrium Green's functions in normal systems 58
4.3 Green's functions in a Bose-condensed gas 68
4.4 Classification of self-energy approximations 74
4.5 Dielectric formalism 79
5 The Beliaev and the time-dependent HFB
approximations 81
5.1 Hartree-Fock-Bogoliubov self-energies 82
5.2 Beliaev self-energy approximation 87
5.3 Beliaev as time-dependent HFB 92
5.4 Density response in the Beliaev-Popov approximation 98
6 Kadanoff-Baym derivation of the ZNG equations 107
6.1 Kadanoff-Baym formalism for Bose superfluids 108
6.2 Hartree-Fock-Bogoliubov equations 111
6.3 Derivation of a kinetic equation with collisions 115
6.4 Collision integrals in the Hartree-Fock approximation 119
6.5 Generalized GP equation 122
6.6 Linearized collision integrals in collisionless theories 124
7 Kinetic equation for Bogoliubov thermal
excitations 129
7.1 Generalized kinetic equation 130
7.2 Kinetic equation in the Bogoliubov-Popov approximation 135
7.3 Comments on improved theory 143
8 Static thermal cloud approximation 146
8.1 Condensate collective modes at finite temperatures 147
8.2 Phenomenological GP equations with dissipation 157
8.3 Relation to Pitaevskii's theory of superfluid relaxation 160
9 Vortices and vortex lattices at finite temperatures 164
9.1 Rotating frames of reference: classical treatment 165
9.2 Rotating frames of reference: quantum treatment 170
9.3 Transformation of the kinetic equation 174
9.4 Zaremba-Nikuni-Griffin equations in a rotating frame 176
9.5 Stationary states 179
9.6 Stationary vortex states at zero temperature 181
9.7 Equilibrium vortex state at finite temperatures 184
9.8 Nonequilibrium vortex states 187
10 Dynamics at finite temperatures using the
moment method 198
10.1 Bose gas above TBEC 199
10.2 Scissors oscillations in a two-component superfluid 204
10.3 The moment of inertia and superfluid response 220
11 Numerical simulation of the ZNG equations 227
11.1 The generalized Gross-Pitaevskii equation 228
11.2 Collisionless particle evolution 231
11.3 Collisions 237
11.4 Self-consistent equilibrium properties 248
11.5 Equilibrium collision rates 252
12 Simulation of collective modes at finite temperature 256
12.1 Equilibration 257
12.2 Dipole oscillations 260
12.3 Radial breathing mode 263
12.4 Scissors mode oscillations 270
12.5 Quadrupole collective modes 279
12.6 Transverse breathing mode 286
13 Landau damping in trapped Bose-condensed gases 292
13.1 Landau damping in a uniform Bose gas 293
13.2 Landau damping in a trapped Bose gas 298
13.3 Numerical results for Landau damping 303
14 Landau's theory of superfluidity 309
14.1 History of two-fluid equations 309
14.2 First and second sound 312
14.3 Dynamic structure factor in the two-fluid region 317
15 Two-fluid hydrodynamics in a dilute Bose gas 322
15.1 Equations of motion for local equilibrium 324
15.2 Equivalence to the Landau two-fluid equations 331
15.3 First and second sound in a Bose-condensed gas 339
15.4 Hydrodynamic modes in a trapped normal Bose gas 345
16 Variational formulation of the Landau
two-fluid equations 349
16.1 Zilsel's variational formulation 350
16.2 The action integral for two-fluid hydrodynamics 356
16.3 Hydrodynamic modes in a trapped gas 359
16.4 Two-fluid modes in the BCS-BEC crossover at unitarity 370
17 The Landau-Khalatnikov two-fluid equations 371
17.1 The Chapman-Enskog solution of the kinetic equation 372
17.2 Deviation from local equilibrium 377
17.3 Equivalence to Landau-Khalatnikov two-fluid equations 387
17.4 The C12 collisions and the second viscosity coefficients 392
18 Transport coefficients and relaxation times 395
18.1 Transport coefficients in trapped Bose gases 396
18.2 Relaxation times for the approach to local equilibrium 405
18.3 Kinetic equations versus Kubo formulas 412
19 General theory of damping of hydrodynamic modes 414
19.1 Review of coupled equations for hydrodynamic modes 415
19.2 Normal mode frequencies 418
19.3 General expression for damping of hydrodynamic modes 420
19.4 Hydrodynamic damping in a normal Bose gas 424
19.5 Hydrodynamic damping in a superfluid Bose gas 428
Appendix A Monte Carlo calculation of collision rates 431
Appendix B Evaluation of transport coefficients:
technical details 436
Appendix C Frequency-dependent transport coefficients 444
Appendix D Derivation of hydrodynamic damping formula 448
References 451
Index 459
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