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arXiv · 1407.1037

Interaction quench in a trapped one-dimensional Bose gas

Paolo P. Mazza·Mario Collura·Márton Kormos·Pasquale Calabrese
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Abstract

We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons in the presence of a hard-wall confining potential. We characterise the density profile and the two-point fermionic correlation function in the stationary state as well as their full time evolution. We find that for long times the system relaxes to a uniform density profile, but the correlation function keeps memory of the initial state with a stationary algebraic long-distance decay as opposite to the exponential behaviour found for the same quench in the periodic setup. We also compute the stationary bosonic two-point correlator which turns out to decay exponentially for large distances. We show that a two-step mechanism governs the time evolution: a quick approach to an almost stationary value is followed by a slow algebraic relaxation to the true stationary state.

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Paolo P. Mazza, Mario Collura, Márton Kormos, Pasquale Calabrese. 2014-07-03. Interaction quench in a trapped one-dimensional Bose gas. https://doi.org/10.1088/1742-5468%2F2014%2F11%2Fp11016

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