Quasilocal charges and the generalized Gibbs ensemble in the Lieb-Liniger model

Palmai, Tamas; Konik, R. M.

doi:10.1103/PhysRevE.98.052126

Title: Quasilocal charges and the generalized Gibbs ensemble in the Lieb-Liniger model

Journal Article · 20 November 2018 · Physical Review E

DOI: https://doi.org/10.1103/PhysRevE.98.052126 · OSTI ID:1489349

Palmai, Tamas ^[1]; Konik, R. M. ^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States)

Here, we consider the construction of a generalized Gibbs ensemble composed of complete bases of conserved charges in the repulsive Lieb-Liniger model. We will show that it is possible to construct these bases with varying locality as well as demonstrating that such constructions are always possible provided one has in hand at least one complete basis set of charges. This procedure enables the construction of bases of charges that possess well-defined, finite expectation values given an arbitrary initial state. We demonstrate the use of these charges in the context of two different quantum quenches: a quench where the strength of the interactions in a one-dimensional gas is switched suddenly from zero to some finite value and the release of a one-dimensional cold atomic gas from a confining parabolic trap. While we focus on the Lieb-Liniger model in this paper, the principle of the construction of these charges applies to all integrable models, both in continuum and lattice form.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704

OSTI ID:: 1489349

Report Number(s):: BNL-210827-2018-JAAM

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 5 Vol. 98; ISSN PLEEE8; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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