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Nonlocal pair correlations in the one-dimensional Bose gas at finite temperature

By P. Deuar, Andrew G. Sykes, D. M. Gangardt, Matthew J. Davis, P. D. Drummond and K. V. Kheruntsyan


The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform one-dimensional Bose gas with repulsive contact interactions at finite temperatures. 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 (Gross-Pitaevskii) and strongly interacting (Tonks-Girardeau) gases. We present perturbative analytic methods, available at strong and weak couplings, and first-principles 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

Topics: Antibunching, Boson systems, Fermons, Impenetrable bosons, Perturbation theory, Photons, Tonks-Girardeau gas, 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics, 0204 Condensed Matter Physics, 0205 Optical Physics
Publisher: American Physical Society
Year: 2009
DOI identifier: 10.1103/PhysRevA.79.043619
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