Eigenstate thermalization in the two-dimensional transverse field Ising model
2016; American Physical Society; Volume: 93; Issue: 3 Linguagem: Inglês
10.1103/physreve.93.032104
ISSN2470-0061
AutoresRubem Mondaini, Keith R. Fratus, Mark Srednicki, Marcos Rigol,
Tópico(s)Quantum chaos and dynamical systems
ResumoWe 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.
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