Non-local pair correlations in the 1D Bose gas at finite temperature

P. Deuar 1, A. G. Sykes 2, D. M. Gangardt 3, M. J. Davis 4, P. D. Drummond 5, K. V. Kheruntsyan 6

Physical Review A: Atomic, Molecular and Optical Physics 79 (2009) 043619

The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated. The results span the entire range of physical regimes, from ideal gas, to strongly interacting, and from zero temperature to high temperature. We present perturbative analytic methods, available at strong and weak coupling, and first-principle numerical results using imaginary time simulations with the gauge-P representation in regimes where perturbative methods are invalid. Nontrivial effects are observed from the interplay of thermally induced bunching behavior versus interaction induced antibunching.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Centre of excellence for quantum atom optics (ARC),
    University of Queensland
  • 3. School of Physics and Astronomy, University of Birmingham,
    University of Birmingham
  • 4. Centre of excellence for quantum atom optics (ARC),
    University of Queensland
  • 5. ARC Centre of Excellence for Quantum Atom Optics,
    Swin burne University of Technology
  • 6. Centre of excellence for quantum atom optics (ARC),
    University of Queensland