有限温度玻色凝聚气体=Bose-condensed gases at finite temperatures 英文版 影印本【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

有限温度玻色凝聚气体=Bose-condensed gases at finite temperatures 英文版 影印本PDF格式电子书版下载

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1 Overview and introduction1

1.1 Historical overview of Bose superfluids9

1.2 Summary of chapters12

2 Condensate dynamics at T=019

2.1 Gross-Pitaevskii（GP）equation20

2.2 Bogoliubov equations for condensate fluctuations28

3 Coupled equations for the condensate and thermal cloud32

3.1 Generafized GP equation for the condensate33

3.2 Boltzmann equation for the noncondensate atoms39

3.3 Solutions in thermal equilibrium43

3.4 Region of validity of the ZNG equations46

4 Green's functions and self-energy approximations54

4.1 Overview of Green's function approach54

4.2 Nonequilibrium Green's functions in normal systems58

4.3 Green's functions in a Bose-condensed gas68

4.4 Classification of self-energy approximations74

4.5 Dielectric formalism79

5 The Beliaev and the time-dependent HFB approximations81

5.1 Hartree-Fock-Bogoliubov self-energies82

5.2 Beliaev self-energy approximation87

5.3 Beliaev as time-dependent HFB92

5.4 Density response in the Beliaev-Popov approximation98

6 Kadanoff-Baym derivation of the ZNG equations107

6.1 Kadanoff-Baym formalism for Bose superfluids108

6.2 Hartree-Fock-Bogoliubov equations111

6.3 Derivation of a kinetic equation with collisions115

6.4 Collision integrals in the Hartree-Fock approximation119

6.5 Generalized GP equation122

6.6 Linearized collision integrals in collisionless theories124

7 Kinetic equation for Bogoliubov thermal excitations129

7.1 Generalized kinetic equation130

7.2 Kinetic equation in the Bogoliubov-Popov approximation135

7.3 Comments on improved theory143

8 Static thermal cloud approximation146

8.1 Condensate collective modes at finite temperatures147

8.2 Phenomenological GP equations with dissipation157

8.3 Relation to Pitaevskii's theory of superfluid relaxation160

9 Vortices and vortex lattices at finite temperatures164

9.1 Rotating frames of reference：classical treatment165

9.2 Rotating frames of reference：quantum treatment170

9.3 Transformation of the kinetic equation174

9.4 Zaremba-Nikuni-Griffin equations in a rotating frame176

9.5 Stationary states179

9.6 Stationary vortex states at zero temperature181

9.7 Equilibrium vortex state at finite temperatures184

9.8 Nonequilibrium vortex states187

10 Dynamics at finite temperatures using the moment method198

10.1 Bose gas above TBEC199

10.2 Scissors oscillations in a two-component superfiuid204

10.3 The moment of inertia and superfluid response220

11 Numerical simulation of the ZNG equations227

11.1 The generalized Gross-Pitaevskii equation228

11.2 Collisionless particle evolution231

11.3 Collisions237

11.4 Self-consistent equilibrium properties248

11.5 Equilibrium collision rates252

12 Simulation of collective modes at finite temperature256

12.1 Equilibration257

12.2 Dipole oscillations260

12.3 Radial breathing mode263

12.4 Scissors mode oscillations270

12.5 Quadrupole collective modes279

12.6 Transverse breathing mode286

13 Landau damping in trapped Bose-condensed gases292

13.1 Landau damping in a uniform Bose gas293

13.2 Landau damping in a trapped Bose gas298

13.3 Numerical results for Landau damping303

14 Landau's theory of superfluidity309

14.1 History of two-fluid equations309

14.2 First and second sound312

14.3 Dynamic structure factor in the two-fluid region317

15 Two-fluid hydrodynamics in a dilute Bose gas322

15.1 Equations of motion for local equilibrium324

15.2 Equivalence to the Landau two-fluid equations331

15.3 First and second sound in a Bose-condensed gas339

15.4 Hydrodynamic modes in a trapped normal Bose gas345

16 Variational formulation of the Landau two-fluid equations349

16.1 Zilsel's variational formulation350

16.2 The action integral for two-fluid hydrodynamics356

16.3 Hydrodynamic modes in a trapped gas359

16.4 Two-fluid modes in the BCS-BEC crossover at unitarity370

17 The Landau-Khalatnikov two-fluid equations371

17.1 The Chapman-Enskog solution of the kinetic equation372

17.2 Deviation from local equilibrium377

17.3 Equivalence to Landau-Khalatnikov two-fluid equations387

17.4 The C12 collisions and the second viscosity coefficients392

18 Transport coefficients and relaxation times395

18.1 Transport coefficients in trapped Bose gases396

18.2 Relaxation times for the approach to local equilibrium405

18.3 Kinetic equations versus Kubo formulas412

19 General theory of damping of hydrodynamic modes414

19.1 Review of coupled equations for hydrodynamic modes415

19.2 Normal mode frequencies418

19.3 General expression for damping of hydrodynamic modes420

19.4 Hydrodynamic damping in a normal Bose gas424

19.5 Hydrodynamic damping in a superfluid Bose gas428

Appendix A Monte Carlo calculation of collision rates431

Appendix B Evaluation of transport coefficients：technical details436

Appendix C Frequency-dependent transport coefficients444

Appendix D Derivation of hydrodynamic damping formula448

References451

Index459