Abstract
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.
Original language | English |
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Pages (from-to) | 043619 |
Number of pages | 1 |
Journal | Physical Review A |
Volume | 79 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2009 |
Keywords
- perturbation theory
- numerical analysis
- boson systems
- photon antibunching