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

2007/10/31 by A. Bezett, E. Toth, P. B. Blakie · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other

paper · pdf · doi:10.1103/physreva.77.023602

published as Phys. Rev. A 77, 023602 (2008) · 9 pages, 4 figures

arxiv created 2007/10/31 · openalex publication_date 2008/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Comparison of the Hanbury Brown–Twiss effect for bosons and fermions
• Effect of Quantum Fluctuations on the Dipolar Motion of Bose-Einstein Condensates in Optical Lattices
• Spatial quantum noise interferometry in expanding ultracold atom clouds

Cited by

• Theory of correlations between ultracold bosons released from an optical lattice
• Numerical method for evolving the projected Gross-Pitaevskii equation
• Projected Gross-Pitaevskii equation theory of finite-temperature collective modes for a trapped Bose gas
• Critical properties of a trapped interacting Bose gas
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas