Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench

Details Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench

2009-10-09

arxiv.org/abs/0910.1749v4

New Journal of Physics 12, 083065 (2010)

Physics

Quantum Physics

11 pages, 5 figures, extended

Scientific paper

10.1088/1367-2630/12/8/083065

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 $g^{(2)}(x,x)$ attain steady state values in a short characteristic time inversely proportional to the Tonks parameter $\gamma$ 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.

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