Relaxation in a completely integrable many-body Quantum system: An Ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons

Marcos Rigol*, Vanja Dunjko, Vladimir Yurovsky, Maxim Olshanii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1185 Scopus citations

Abstract

In this Letter we pose the question of whether a many-body quantum system with a full set of conserved quantities can relax to an equilibrium state, and, if it can, what the properties of such a state are. We confirm the relaxation hypothesis through an ab initio numerical investigation of the dynamics of hard-core bosons on a one-dimensional lattice. Further, a natural extension of the Gibbs ensemble to integrable systems results in a theory that is able to predict the mean values of physical observables after relaxation. Finally, we show that our generalized equilibrium carries more memory of the initial conditions than the usual thermodynamic one. This effect may have many experimental consequences, some of which have already been observed in the recent experiment on the nonequilibrium dynamics of one-dimensional hard-core bosons in a harmonic potential [T. Kinoshita et al., Nature (London) 440, 900 (2006)NATUAS0028-083610.1038/nature04693].

Original languageEnglish
Article number050405
JournalPhysical Review Letters
Volume98
Issue number5
DOIs
StatePublished - 1 Feb 2007

Funding

FundersFunder number
National Science Foundation
Directorate for Mathematical and Physical Sciences0240918, 0301052, 0312261

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