Classical fields approximation for cold weakly interacting bosons without free parameters

Abstract

Classical fields approximation to cold weakly interacting bosons allows for a unified treatment of condensed and uncondensed parts of the system. Until now, however, the quantitative predictions were limited by a dependence of the results on a grid chosen for numerical implementation of the method. In this paper we propose replacing this unphysical ambiguity by an additional postulate: the temperature of the gas at thermal equilibrium should be the same as that of an ideal Bose gas with the same fraction of condensed atoms. As it turns-out, with this additional assumption, nearly all atoms are within the classical fields, thus the method applies to the whole system.

References in corpus (15)

• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Finite temperature excitations of a trapped Bose gas
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Evolution of Correlation Properties and Appearance of Broken Symmetry in the Process of Bose-Einstein Condensation
• Collective excitations of Bose-Einstein condensed gases at finite temperatures
• Simulations of thermal Bose fields in the classical limit
• Multi-mode description of an interacting Bose-Einstein condensate
• Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates
• Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
• Microcanonical temperature for a classical field: application to Bose-Einstein condensation
• Probing the classical field approximation - thermodynamics and decaying vortices
• Temperature dependent Bogoliubov approximation in the classical fields approach to weakly interacting Bose gas
• Kinetic Theory of Collective Excitations and Damping in Bose-Einstein Condensed Gases
• Thermodynamic identities and particle number fluctuations in weakly interacting Bose--Einstein condensates
• Thermodynamic properties of confined interacting Bose gases - a renormalization group approach

Cited by in corpus (14)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Finite Temperature Models of Bose-Einstein Condensation
• The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
• Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
• Ab initio methods for finite temperature two-dimensional Bose gases
• Classical field records of a quantum system: their internal consistency and accuracy
• Signatures of a universal jump in the superfluid density in two-dimensional Bose gas with finite number of particles
• Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff
• Superfluidity of the BEC at finite temperature
• Complex wave fields in the interacting one-dimensional Bose gas
• Classical fields method for a relativistic interacting Bose gas
• From a nonlinear string to a weakly interacting Bose gas
• Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis