Two point correlations of a trapped interacting Bose gas at finite temperature

Abstract

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low energy modes and treats the high energy modes using a Hartree-Fock description. We present results of first and second order correlation functions, in position and momentum space, for an experimentally realistic system in the temperature range of $0.6T_c$ to $1.0T_c$. We also characterize the spatial coherence length of the system. Our theory should be applicable in the critical region where experiments are now able to measure first and second order correlations.

9 pages, 4 figures

References in corpus (5)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Critical Behavior of a Trapped Interacting Bose Gas
• Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
• Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices

Cited by in corpus (9)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• The stochastic projected Gross-Pitaevskii equation
• Numerical method for evolving the Projected Gross-Pitaevskii equation
• Theory of correlations between ultra-cold bosons released from an optical lattice
• Critical properties of a trapped interacting Bose gas
• Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
• Many-body physics in the classical-field description of a degenerate Bose gas
• Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
• PGPE theory of finite temperature collective modes for a trapped Bose gas