编辑: 梦三石 2019-07-12
Index A Abrikosov lattice, see vortex lattice angular momentum for BoseCEinstein condensate (BEC), 187, 300, 336C338 for the vortex-particle model, 190, 201, 208, 211, 212,

214 anomalous mode dark soliton, 39, 41, 57, 59,

140 DB soliton, 77, 87, 151,

155 NPSE model,

56 ring soliton,

182 vortex, 166, 176, 230,

261 antidark soliton, 67, 92, 94,

114 aspect ratio, 12, 17, 50,

63 azimuthon,

162 B BardeenCCooperCSchrieffer (BEC-BCS) crossover,

123 BiotCSavart, law, 343, 348,

351 Bloch oscillations,

346 Bloch waves,

44 Bogoliubov spectrum, see BogoliubovCde Gennes (BdG), spectrum BogoliubovCde Gennes (BdG) analysis, 38, 39, 41, 46, 57, 58, 62, 76, 86, 97, 101, 140,

143 equations, 11, 32, 39, 54, 97, 103, 130, 166, 182, 207, 252, 270, 278, 309,

314 spectrum, 11, 39, 41, 54, 57, 77, 87, 151, 167, 173, 182, 185, 230, 233, 238, 261, 316,

330 BoseCEinstein condensation, see mean-?eld, for BEC BoseCHubbard model,

47 bubble, 346, 360,

363 C cigar-shaped BEC, 12, 49,

54 circulation, see vortex circulation collapse, 123, 159, 161, 162, 247, 266,

346 collective modes, see Tkachenko modes compact scheme,

371 complex GinzburgCLandau,

329 compute uni?ed device architecture (CUDA),

376 conserved quantities for the vortex-particle model,

189 continuation from the linear limit, 31, 158, 159, 244,

251 parameter continuation, 121, 257,

280 pseudo-arclength continuation,

158 continuous spectrum, 48, 77,

86 counter?ow, 68, 72,

78 crow instability, 341,

346 cubic-quintic NLS (cqNLS) equation,

14 cubic-quintic nonlinearity,

56 D dark soliton, 2, 18, 55, 65,

359 adiabatic dynamics,

34 anomalous mode, see anomalous mode, dark soliton antidamping, 44, 49, 130, 137,

143 black, 19, 37, 38, 58,

64 collision-induced phase shift,

27 collisions, 28,

359 cross, 180, 182, 224, 319,

321 dissipative dynamics,

136 energy, 21,

34 formation,

112 generation, 20,

24 gray, 19, 37,

54 Hamiltonian perturbation theory,

34 integrals of motion,

21 Lagrangian approach,

36 Landau dynamics,

37 mass,

22 oscillation frequency, 35, 37, 55, 61,

63 oscillations, 32,

41 persistence,

48 perturbation methods, 2,

181 phase jump,

18 planar, see dark soliton, stripe radiation,

42 repulsive interaction, 29, 58, 63,

143 425

426 Index ring, 51, 161, 180, 182, 187, 204, 207, 223,

331 ring, curvature,

52 shallow, 19, 22, 25, 37, 38, 43, 55,

137 spherical,

51 stationary,

31 stripe, 50, 173, 175, 176, 179, 182, 187, 203, 236, 267, 275, 283, 309, 312, 323,

360 two-soliton, 27, 57, 59,

60 dark-bright (DB) soliton, 26, 67, 76C78 adiabatic dynamics, 73,

150 anomalous mode, see anomalous mode, DB soliton antidamping,

151 collisions,

81 dissipative dynamics,

149 energy,

74 excitation spectrum,

76 Hamiltonian perturbation theory,

74 interaction energy,

83 interaction force,

84 interactions, 83,

85 molecule, 83, 87,

89 multiple, 73, 81, 86,

88 oscillation frequency, 76, 79,

151 ring,

305 solution,

69 spinor BEC,

104 stationary, 77, 85,

151 two-soliton, 83, 85, 87, 92,

155 dark-dark (DD) soliton, 67,

88 beating, 68, 71, 90,

92 interactions,

92 solution,

70 spinor BEC,

104 density engineering, 24, 25,

346 dimensionality crossover, 12, 42, 55, 62,

78 dimensionality parameter, 12, 54, 55,

62 dipole mode, 39, 57, 167,

230 discrete nonlinear Schr?dinger (DNLS) equation, 45, 47, 239,

243 discrete spectrum,

20 disk-shaped BEC,

49 dissipation, 167, 169, 172,

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