Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff
arXiv:1707.01776 · doi:10.1103/PhysRevA.98.023622
Abstract
To finalize information about the accuracy of the classical field approach for the 1d Bose gas, the lowest temperature quasicondensate was studied by comparing the extended Bogoliubov model of Mora and Castin, to its classical field analogue. The parameters for which the physics is well described by matter waves are now presented for all 1d regimes, and concurrently, the optimal cutoff that best matches all observables together is also provided. This cutoff rises strongly with density when the chemical potential is higher than the thermal energy to account for kinetic energy. As a consequence, clouds that reach this coldest quantum fluctuating regime are better described using a trap basis than plane waves. This contrasts with higher temperature clouds for which the basis choice is less important. In passing, estimates for chemical potential, density fluctuations, kinetic and interaction energy in the low temperature quasicondensate are obtained up to several leading terms.
13 pages, 9 figures: Accepted version. The long v1 has been published in two parts. This is the second part. The first part was published as Phys. Rev. A 97, 053607 (2018)
References in corpus (19)
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Extension of Bogoliubov theory to quasi-condensates
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Finite Temperature Models of Bose-Einstein Condensation
- Observation of Solitonic Vortices in Bose-Einstein Condensates
- Emergence of order from turbulence in an isolated planar superfluid
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Spatial nonlocal pair correlations in a repulsive 1D Bose gas
- Dynamical Equilibration Across a Quenched Phase Transition in a Trapped Quantum Gas
- Nonthermal fixed points and solitons in a one-dimensional Bose gas
- Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
- Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
- Approximate particle number distribution from direct stochastic sampling of the Wigner function
- Decay of multiply charged vortices at nonzero temperatures
- Complex wave fields in the interacting one-dimensional Bose gas
- Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
Cited by in corpus (10)
- Geometric squeezing of rotating quantum gases into the lowest Landau level
- Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
- Benchmarks of Generalized Hydrodynamics for 1D Bose Gases
- Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
- Dynamics of Hot Bose-Einstein Condensates: stochastic Ehrenfest relations for number and energy damping
- On the fluctuations of the number of atoms in the condensate
- Statistical properties of cold bosons in a ring trap
- Maxwell relation between entropy and atom-atom pair correlation
- Projected Gross-Pitaevskii equation for ring-shaped Bose-Einstein condensates
- Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis