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arXiv · 1308.4310

Solution for an interaction quench in the Lieb-Liniger Bose gas

Jacopo De Nardis·Bram Wouters·Michael Brockmann·Jean-Sébastien Caux
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Abstract

We study a quench protocol where the ground state of a free many-particle bosonic theory in one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of $δ$-interacting repulsive bosons. By using a recently-proposed variational method, we here obtain the exact non-thermal steady-state of the system in the thermodynamic limit, and discuss some of its main physical properties. Besides being a rare case of a thermodynamically exact solution to a truly interacting quench situation, this interestingly represents an example where a naive implementation of the generalized Gibbs ensemble fails.

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Jacopo De Nardis, Bram Wouters, Michael Brockmann, Jean-Sébastien Caux. 2014-03-26. Solution for an interaction quench in the Lieb-Liniger Bose gas. https://doi.org/10.1103/physreva.89.033601

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