Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables

Tod M. Wright, Marcos Rigol, Matthew J. Davis, Karén V. Kheruntsyan

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We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between noninteracting spinless fermions and strongly interacting hard-core bosons. A generalized Jordan-Wigner transformation maps the entire family to noninteracting fermions. We find that, aside from the singular free-fermion limit, the entire single-particle density matrix and, therefore, all one-body observables relax to the predictions of the generalized Gibbs ensemble (GGE). This demonstrates that, in the presence of interactions, correlations between particles in the many-body wave function provide the effective dissipation required to drive the relaxation of all one-body observables to the GGE. This relaxation does not depend on translational invariance or the tracing out of any spatial domain of the system.

Original languageEnglish (US)
Article number050601
JournalPhysical Review Letters
Issue number5
StatePublished - Jul 29 2014


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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