Eigenstate thermalization in the two-dimensional transverse field Ising model

Rubem Mondaini, Keith R. Fratus, Mark Srednicki, Marcos Rigol

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

Abstract

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two nonequivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in the presence of a uniform longitudinal field. We use full exact diagonalization to examine the behavior of quantum chaos indicators and of the diagonal matrix elements of operators of interest in the eigenstates of the Hamiltonian. An analysis of finite size effects reveals that quantum chaos and eigenstate thermalization occur in those systems whenever the fields are nonvanishing and not too large.

Original languageEnglish (US)
Article number032104
JournalPhysical Review E
Volume93
Issue number3
DOIs
StatePublished - Mar 4 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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