Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/4283
Title: Quantum chaos and thermalization in gapped systems.
Authors: Santos, Lea F.
Rigol, Marcos
0000-0001-9400-2709
Keywords: quantum chaos
thermalization
gapped systems
Issue Date: Jul-2010
Publisher: American Physical Society
Citation: Rigol, Marcos and Santos, Lea F. (2010) Quantum chaos and thermalization in gapped systems. Physical Review A 82, 011605(R).
Series/Report no.: Physical Review A;
Abstract: We investigate the onset of thermalization and quantum chaos in finite one-dimensional gapped systems of hard-core bosons. Integrability in these systems is broken by next-nearest-neighbor repulsive interactions, which also generate a superfluid to insulator transition. By employing full exact diagonalization, we study chaos indicators and few-body observables. We show that with increasing system size, chaotic behavior is seen over a broader range of parameters and, in particular, deeper into the insulating phase. Concomitantly, we observe that, as the system size increases, the eigenstate thermalization hypothesis extends its range of validity inside the insulating phase and is accompanied by the thermalization of the system.
URI: https://doi.org/10.1103/PhysRevA.82.011604
https://hdl.handle.net/20.500.12202/4283
ISSN: 0031-899X
Appears in Collections:Stern College for Women -- Faculty Publications

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