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L. Pitaevskii, Stringari S. — Bose-Einstein Condensation
L. Pitaevskii, Stringari S. — Bose-Einstein Condensation

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Название: Bose-Einstein Condensation

Авторы: L. Pitaevskii, Stringari S.

Аннотация:

This book is an introductory text to the physics of Bose-Einstein condensation. This phenomenon, first predicted by Einstein in 1925 has been realized experimentally in 1995 in a remarkable series of experiments whose importance has been recognized by the award of the 2001 Nobel Prize in Physics. The condensate is actually a new state of matter, where quantum-mechanical wave functions of atoms behave as coherent matter waves in the same way as coherent light waves in the case of a laser. The authors provide a theoretical presentation of the main concepts underlying the physics of dilute atomic gases in conditions of extremely low temperatures where quantum effects play a crucial role. The main effort is devoted to discussion of the relevant theoretical aspects exhibited by these systms, such as the concept of order parameter, long range order, superfluidity and coherence. The mathematical formalism is presented in a form convenient for practical use. The book develops the theory of Bose gases starting from the pioneering Bogoliubov approach and gives special emphasis to the new physical features exhibited by non-uniform gases which are produced in the recent experiments with magnetic and optical traps. These features include the determination of the equilibrium profiles, the collective oscillations, the mechanism of the expansion of the gas after releasing the trap, the interference patterns obtained by overlapping two condensates, the rotational properties revealing the effects of superfluidity the Josephson-like phenomena assocaited with the coherence of the phase, the beyond mean field phenomena exhibited by quantum gases in conditions of reduced dimensionality. The book also discusses the alaogies and differences with the physics of ""classical"" superfluids like liquid helium and introduces some of the major features of trapped Fermi gases at low temperature, pointing out the consequences of superfluidity.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 382

Добавлена в каталог: 18.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Attractive forces      174-6 361
BCS transition      358
Berezinskii - Kosterlitz - Thouless theory      343
Beyond mean field, collective oscillations      191 331
Beyond mean field, energy      32 190 332
Beyond mean field, equilibrium profile      190 337
Bloch oscillations      313
Bogoliubov inequality      100
Bogoliubov prescription for particle operator      28 38 300
Bogoliubov spectrum      32 57 315
Bogoliubov transformation      31 300 359
Bragg scattering (two-photon)      197-210 283
chemical potential      12 15 42 69 218 289
Chemical potential in low dimensions      325 333 339
Chemical potential in nonuniform systems      163 167 174 190 224-5 232 238 308
Chemical potential in uniform systems      30 190 353
Coherence factor      293
Collective oscillations, dipole      178-9 316
Collective oscillations, in low dimensions      328 338 340-1
Collective oscillations, in optical traps      314-20
Collective oscillations, large amplitude      192-4
Collective oscillations, monopole (breathing)      182 185 187-8 241 354 365
Collective oscillations, of vortex line      84
Collective oscillations, quadrupole      184 242 255 354
Collective oscillations, shift of frequency due to rotation      264 366
Collisions      131-8 239 355-8
Critical angular velocity      84 258
Critical temperature      18 149 222 228-32
Critical velocity (Landau criterion)      64 245 362
Current      41 288 309
Damping, Beliaev      72-4 112
Damping, Landau      240
Decoherence      296 298
Density of states      151 214
Depletion of the condensate, quantum      35 126 191 300
Depletion of the condensate, thermal      18 80 125 149 159 238
effective mass      310 312 316 319
Energy bands, Bloch      309-10
Energy bands, Bogoliubov      314-17
Expansion and release energy      155-7 168-9 194-7 239 251-2
Fermi energy      348
Feshbach resonance      136-8 363 365
Fluctuation-dissipation theorem      91 96
Fluctuations, condensate density      24-5
Fluctuations, phase      78-82 320-2 341
Fock state      281 295
Four-wave mixing      285-6
Fragmentation (Bose-Einstein condensation)      275 281
Galilean transformation      63 67
Gas parameter      27 32 43 190 223
Gauge invariance      12 33
Gross - Pitaevskii equation      39-43
Hartree - Fock theory      225-8
Healing length      43 162 324 362
Hydrodynamic equations, collisional regime      241 356
Hydrodynamic equations, superfluids      44 68-72 180 327 365
Hydrodynamic equations, two fluids      74-8
Interference      278-86
Josephson equations      287-96
Mixtures of Bose - Einstein condensates      214-20
Moment of inertia      244-9
Momentum distribution      7-8 22 101-2 123 154 166 206 210 283 336 349
Momentum flux      41
Nondiagonal long-range order      1 9 275 358
Normal part      65-6 342
One-body density matrix      7-11 21 275-8 342
Overcritical branch      254
Pair correlation function      94 115
Particle occupation number      35-7
Phonons      33 66 72 80 110 112 182 203 210 315 328
Plasma frequency      289
Popov approximation      235-6
Precession      266-73
Quantum pressure      41-2 315
Rabi frequency      291
Release energy, see expansion revival time      298
Scattering amplitude (length)      26 29 131-8
Scattering amplitude (length), renormalization      30 32
Scissors mode      249-51
Solitons      52-5
Stability, elementary excitations      58 272
Stability, equation of state      29 174 353
Stability, vortex lines      271
Structure factor, dynamic      113 197-210
Structure factor, static      104-6 114
Sum rules      90-1 93-5 98-9 104-6 186-90 264-5
surface      182
Thermodynamic limit      155 222-5
Tight binding      299 312 314
Tonks - Girardeau gas      334
Uncertainty inequality      101 155 278 292 350
Unitarity limit      135 353
Virial theorem      167 354
Visibility      276 293 301
Vortex rings      47-52
Vortices      44-7 83-6 118-22 256-73 366
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