Quantitative study of quasi-one-dimensional Bose gas experiments via the stochastic Gross-Pitaevskii equation

Abstract

The stochastic Gross-Pitaevskii equation is shown to be an excellent model for quasi-one-dimensional Bose gas experiments, accurately reproducing the in situ density profiles recently obtained in the experiments of Trebbia et al. [Phys. Rev. Lett. 97, 250403 (2006)] and van Amerongen et al. [Phys. Rev. Lett. 100, 090402 (2008)], and the density fluctuation data reported by Armijo et al. [Phys. Rev. Lett. 105, 230402 (2010)]. To facilitate such agreement, we propose and implement a quasi-one-dimensional stochastic equation for the low-energy, axial modes, while atoms in excited transverse modes are treated as independent ideal Bose gases.

10 pages, 5 figures; updated figures with experimental data

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• Matter-wave interferometry in a double well on an atom chip
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
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• A comparison between microscopic methods for finite temperature Bose gases
• Coherence length of an elongated condensate: a study by matter-wave interferometry
• Spatial Correlation Functions of one-dimensional Bose gases at Equilibrium
• Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas

Cited by in corpus (21)

• Winding up superfluid in a torus via Bose Einstein condensation
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas
• Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
• The stochastic projected Gross-Pitaevskii equation
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Simulating cosmological supercooling with a cold atom system
• Ab initio methods for finite temperature two-dimensional Bose gases
• Thermalization in a one-dimensional integrable system
• Numerical method for the stochastic projected Gross-Pitaevskii equation
• Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
• Phase coherence in quasicondensate experiments: an ab initio analysis via the stochastic Gross-Pitaevskii equation
• Classical field records of a quantum system: their internal consistency and accuracy
• Cross-over to quasi-condensation: mean-field theories and beyond
• Continuum of classical-field ensembles from canonical to grand canonical and the onset of their equivalence
• Obstruction to ergodicity in nonlinear Schrödinger equations with resonant potentials
• Complex wave fields in the interacting one-dimensional Bose gas
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
• Quasicondensation reexamined