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

Understand

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.