Initial-state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states

Kai He, Marcos Rigol

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

We study sudden quantum quenches in which the initial states are selected to be either eigenstates of an integrable Hamiltonian that is nonmappable to a noninteracting one or a nonintegrable Hamiltonian, while the Hamiltonian after the quench is always integrable and mappable to a noninteracting one. By studying weighted energy densities and entropies, we show that quenches starting from nonintegrable (chaotic) eigenstates lead to an "ergodic" sampling of the eigenstates of the final Hamiltonian, while those starting from the integrable eigenstates do not (or at least it is not apparent for the system sizes accessible to us). This goes in parallel with the fact that the distribution of conserved quantities in the initial states is thermal in the nonintegrable cases and nonthermal in the integrable ones, and means that, in general, thermalization occurs in integrable systems when the quench starts form an eigenstate of a nonintegrable Hamiltonian (away from the edges of the spectrum), while it fails (or requires larger system sizes than those studied here to become apparent) for quenches starting at integrable points. We test those conclusions by studying the momentum distribution function of hard-core bosons after a quench.

Original languageEnglish (US)
Article number043615
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number4
DOIs
StatePublished - Apr 12 2013

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Initial-state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states'. Together they form a unique fingerprint.

  • Cite this