PDF《Index》

173 dissipative GPE (DGPE), see GrossCPitaevskii equation, dissipative domain wall, 50, 67, 89, 102, 104, 318, 346,

359 domain wall cross, see dark soliton, cross double well, 27, 63,

116 two-dimensional,

239 vortex-induced,

314 doubly charged vortex, 165, 179, 252,

256 doubly charged vortex ring,

352 dragging an obstacle, 24, 109, 110,

115 dromion,

50 E energetic instability,

40 energy,

17 two-component BEC,

74 energy cascade,

344 energy functional,

8 Euler'

s ?uid,

343 EulerCLagrange equations, 18, 36, 58,

79 exciton-polariton BEC, see polariton BEC external potential, 7, 10, 17, 32, 35, 36, 76, 109, 112, 115, 116, 134, 147, 148, 336, 338, 343, 347, 348, 352, 360, 363, 372,

376 anisotropic,

359 F Faraday pattern,

14 Feshbach resonance, 67, 123,

320 management, 53, 123,

266 ?nite differences,

371 ?nite temperature, 40, 130, 170, 191, 263,

302 BEC,

131 damping regimes, 137,

151 dark soliton, 138,

140 form of dissipation,

131 relaxation dynamics, 134,

148 three-dark soliton state,

144 two-dark-soliton state,

142 Floquet analysis,

91 ?uid dynamics, 340,

341 ?uid velocity, 70, 168, 231, 255, 274, 276, 342C344 ?uid vorticity, 168, 255, 274,

276 G Galerkin approach, 117, 176, 177, 235, 237,

239 gap soliton, 45,

104 GerbierCMu?oz MateoCDelgado equation (GMDE), 13,

79 Goldstone mode, 39, 41, 57, 85, 230,

232 graphical processing unit (GPU), 370,

376 GrossCPitaevskii equation, 2, 7,

8 damping,

132 dissipative, 131, 133, 135, 139, 145, 148, 169,

263 rigorous validation,

9 stochastic, 131, 138, 139,

147 ground state, 10,

13 H Hamiltonian for BEC, 34, 74, 115, 141,

142 for spinor BEC,

302 for the vortex-particle model, 189, 193, 196, 201,

212 single-particle, 11,

176 harmonic trap, 4, 10, 12, 20, 25, 31, 35, 39, 43, 46, 53, 63, 76, 86, 111, 116, 137, 157, 166, 176, 188, 228, 244, 266, 273, 288, 295, 307, 311, Index

427 330, 352,

366 healing length, 12, 46, 54, 112, 131, 175, 272, 276, 297, 338, 343,

347 helical waves, see Kelvin modes heteronuclear BEC,

66 high-order (compact) scheme,

371 Hopf bifurcation, 88, 101,

304 hydrodynamic formulation, 341,

343 I impurity potential, 266, 275, 278, 344,

364 integrals of motion, 17, see dark soliton, integrals of motion interaction potential,

8 inverse scattering transform (IST), 2, 20, 68, 104,

106 K KadomtsevCPetviashvili (KP) equation,

50 Kelvin modes, 338, 343, 348, 354,

355 Kelvons, see Kelvin modes Kohn mode, see dipole mode Kolmogorov power law, 298,

344 KortewegCde Vries (KdV) equation, 2, 22, 23, 29, 38, 53,

104 Krein signature, 40, 41, 48, 140, 141, 144, 151, 166, 170, 182, 207, 230,

264 KronigCPenney model,

124 L Lagrangian density,

18 two dark solitons,

58 Landau dynamics,

33 linear momentum for the vortex-particle model,

190 linear Schr?dinger equation,

245 local density approximation, 33, 35, 37,

38 localized induction approximation,

343 M Madelung transformation, 15, 23,

341 magnetic trap, see harmonic trap Manakov system, 68, 92,

104 many-body calculation,

38 Hamiltonian,

7 quantum mechanical problem,

8 matter-wave interference, 24, 26, 51,

63 mean-?eld for BEC, 7, 55, 66, 95, 130,

307 miscibility BEC, 67, 313,

318 parameter, 67, 319, 320,

323 modulational instability (MI), 11, 12, 18, 99, 100, 124, 173,

268 transverse, 50, 267,

285 modulus-squared Dirichlet (MSD), boundary conditions, 373,

374 momentum,

17 multicomponent BEC, 66, 166, 250, 293, 301, 362,