Eigenstate thermalization in the two-dimensional transverse field Ising model
Statistical Mechanics
2016-03-14 v2 Quantum Physics
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 non-equivalent 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. A finite size scaling analysis reveals that quantum chaos and eigenstate thermalization occur in those systems whenever the fields are nonvanishing and not too large.
Cite
@article{arxiv.1512.04947,
title = {Eigenstate thermalization in the two-dimensional transverse field Ising model},
author = {Rubem Mondaini and Keith R. Fratus and Mark Srednicki and Marcos Rigol},
journal= {arXiv preprint arXiv:1512.04947},
year = {2016}
}
Comments
10 pages, 10 figures, as published