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

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 \(\delta\)-interacting repulsive bosons. By using a recently-proposed variational method, we here obtain the exac...

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Bibliographic Details
Published in:arXiv.org 2014-03
Main Authors: De Nardis, Jacopo, Wouters, Bram, Brockmann, Michael, Caux, Jean-Sébastien
Format: Article
Language:English
Subjects:
Bosons
Physical properties
Online Access:Get full text
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Summary: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 \(\delta\)-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.
ISSN:2331-8422
DOI:10.48550/arxiv.1308.4310