Ab initio methods for finite temperature two-dimensional Bose gases

Abstract

The stochastic Gross-Pitaevskii equation and modified Popov theory are shown to provide an ab initio description of finite temperature, weakly-interacting two-dimensional Bose gas experiments. Using modified Popov theory, a systematic approach is developed in which the momentum cut-off inherent to classical field methods is removed as a free parameter. This is shown to yield excellent agreement with the recent experiment of Hung et al. [Nature, 470, 236 (2011)], verifying that the stochastic Gross-Pitaevskii equation captures the observed universality and scale-invariance.

5 pages, 4 figures

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Cited by in corpus (27)

• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Two-Dimensional Supersolid Formation in Dipolar Condensates
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• The stochastic projected Gross-Pitaevskii equation
• Persistent current formation in a high-temperature Bose-Einstein condensate: an experimental test for c-field theory
• Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates
• Kibble-Zurek Dynamics in a Trapped Ultracold Bose Gas
• Numerical method for the stochastic projected Gross-Pitaevskii equation
• Quench dynamics of an ultracold two-dimensional Bose gas
• Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
• Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
• Finite temperature dynamics of vortices in Bose-Einstein condensates
• Persistent current formation in double-ring geometries
• Cross-over to quasi-condensation: mean-field theories and beyond
• Classical field records of a quantum system: their internal consistency and accuracy
• Scale invariance and universality in a cold gas of indirect excitons
• 2D dilute Bose mixture at low temperatures
• Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
• Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff
• Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
• Complex wave fields in the interacting one-dimensional Bose gas
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
• Projected Gross-Pitaevskii equation for ring-shaped Bose-Einstein condensates
• Effects of classical stochastic webs on the quantum dynamics of cold atomic gases in a moving optical lattice
• Geometry-induced modification of fluctuation spectrum in quasi-two-dimensional condensates
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas