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| Preface | |
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| Overview and introduction | |
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| Historical overview of Bose superfluids | |
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| Summary of chapters | |
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| Condensate dynamics at T = 0 | |
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| Gross-Pitaevskii (GP) equation | |
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| Bogoliubov equations for condensate fluctuations | |
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| Coupled equations for the condensate and thermal cloud | |
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| Generalized GP equation for the condensate | |
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| Boltzmann equation for the noncondensate atoms | |
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| Solutions in thermal equilibrium | |
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| Region of validity of the ZNG equations | |
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| Green's functions and self-energy approximations | |
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| Overview of Green's function approach | |
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| Nonequilibrium Green's functions in normal systems | |
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| Green's functions in a Bose-condensed gas | |
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| Classification of self-energy approximations | |
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| Dielectric formalism | |
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| The Beliaev and the time-dependent HFB approximations | |
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| Hartree-Fock-Bogoliubov self-energies | |
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| Beliaev self-energy approximation | |
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| Beliave as time-dependent HFB | |
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| Density response in the Beliaev-Popov approximation | |
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| Kadanoff-Baym derivation of the ZNG equations | |
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| Kadanoff-Baym formalism for Bose superfluids | |
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| Hartree-Fock-Bogoliubov equations | |
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| Derivation of a kinetic equation with collisions | |
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| Collision integrals in the Hartree-Fock approximation | |
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| Generalized GP equation | |
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| Linearized collision integrals in collisionless theories | |
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| Kinetic equation for Bogoliubov thermal excitations | |
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| Generalized kinetic equation | |
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| Kinetic equation in the Bogoliubov-Popov approximation | |
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| Comments on improved theory | |
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| Static thermal cloud approximation | |
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| Condensate collective modes at finite temperatures | |
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| Phenomenological GP equations with dissipation | |
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| Relation to Pitaevskii's theory of superfluid relaxation | |
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| Vortices and vortex lattices at finite temperatures | |
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| Rotating frames of reference: classical treatment | |
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| Rotating frames of reference: quantum treatment | |
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| Transformation of the kinetic equation | |
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| Zaremba-Nikuni-Griffin equations in a rotating frame | |
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| Stationary states | |
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| Stationary vortex states at zero temperature | |
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| Equilibrium vortex state at finite temperatures | |
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| Nonequilibrium vortex states | |
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| Dynamics at finite temperatures using the moment method | |
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| Bose gas above TBEC | |
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| Scissors oscillations in a two-component superfluid | |
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| The moment of inertia and superfluid response | |
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| Numerical simulation of the ZNG equations | |
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| The generalized Gross-Pitaevskii equation | |
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| Collisionless particle evolution | |
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| Collisions | |
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| Self-consistent equilibrium properties | |
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| Equilibrium collision rates | |
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| Simulation of collective modes at finite temperature | |
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| Equilibration | |
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| Dipole oscillations | |
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| Radial breathing mode | |
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| Scissors mode oscillations | |
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| Quadrupole collective modes | |
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| Transverse breathing mode | |
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| Landau damping in trapped Bose-condensed gases | |
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| Landau damping in a uniform Bose gas | |
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| Landau damping in a trapped Bose gas | |
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| Numerical results for Landau damping | |
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| Landau's theory of superfluidity | |
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| History of two-fluid equations | |
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| First and second sound | |
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| Dynamic structure factor in the two-fluid region | |
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| Two-fluid hydrodynamics in a dilute Bose gas | |
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| Equations of motion for local equilibrium | |
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| Equivalence to the Landau two-fluid equations | |
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| First and second sound in a Bose-condensed gas | |
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| Hydrodynamic modes in a trapped normal Bose gas | |
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| Variational formulation of the Landau two-fluid equations | |
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| Zilsel's variational formulation | |
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| The action integral for two-fluid hydrodynamics | |
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| Hydrodynamic modes in a trapped gas | |
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| Two-fluid modes in the BCS-BEC crossover at unitarity | |
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| The Landau-Khalatnikov two-fluid equations | |
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| The Chapman-Enskog solution of the kinetic equation | |
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| Deviation from local equilibrium | |
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| Equivalence to Landau-Khalatnikov two-fluid equations | |
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| The C12 collisions and the second viscosity coefficients | |
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| Transport coefficients and relaxation times | |
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| Transport coefficients in trapped Bose gases | |
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| Relaxation times for the approach to local equilibrium | |
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| Kinetic equations versus Kubo formulas | |
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| General theory of damping of hydrodynamic modes | |
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| Review of coupled equations for hydrodynamic modes | |
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| Normal mode frequencies | |
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| General expression for damping of hydrodynamic modes | |
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| Hydrodynamic damping in a normal Bose gas | |
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| Hydrodynamic damping in a superfluid Bose gas | |
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| Monte Carlo calculation of collision rates | |
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| Evaluation of transport coefficients: technical details | |
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| Frequency-dependent transport coefficients | |
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| Derivation of hydrodynamic damping formula | |
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| References | |
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| Index | |