Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/4282
Title: Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems.
Authors: Santos, Lea F.
Rigol, Marcos
0000-0001-9400-2709
Keywords: one-dimensional quantum systems
effects of symmetries
Issue Date: 2010
Publisher: American Physical Society
Citation: Santos, Lea F. and Rigol, Marcos. (2010) Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems. Physical Review E 87, 031130.
Series/Report no.: Physical Review E;
Abstract: We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We consider systems of hard-core bosons at half-filling with nearest-neighbor hopping and interaction, and next-nearest-neighbor interaction. The latter breaks integrability and induces a ground-state superfluid to insulator transition. By full exact diagonalization, we study chaos indicators and few-body observables. We show that when different symmetry sectors are mixed, chaos indicators associated with the eigenvectors, contrary to those related to the eigenvalues, capture the onset of chaos. The results for the complexity of the eigenvectors and for the expectation values of few-body observables confirm the validity of the eigenstate thermalization hypothesis in the chaotic regime, and therefore the occurrence of thermalization. We also study the properties of the off-diagonal matrix elements of few-body observables in relation to the transition from integrability to chaos and from chaos to localization.
URI: https://doi.org/10.1103/PhysRevE.82.031130
https://hdl.handle.net/20.500.12202/4282
ISSN: 0031-899X
Appears in Collections:Stern College for Women -- Faculty Publications

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