Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench
arXiv:0910.1749 · doi:10.1088/1367-2630/12/8/083065
Abstract
We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm. It is shown that despite the integrability of the system, local quantities such as the two-particle correlation attain steady state values in a short characteristic time inversely proportional to the Tonks parameter and the square of the density. The asymptotic values are very close to those of a finite temperature grand canonical ensemble with a local temperature corresponding to initial energy and density. Non-local density-density correlations on the other hand approach a steady state on a much larger time scale determined by the finite propagation velocity of oscillatory correlation waves.
11 pages, 5 figures, extended
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