Quantum chaos and thermalization in gapped systems

Details Quantum chaos and thermalization in gapped systems Quantum chaos and thermalization in gapped systems

2010-03-06

arxiv.org/abs/1003.1403v2

Phys. Rev. A 82, 011604(R) (2010)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8 figures, as published

Scientific paper

10.1103/PhysRevA.82.011604

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.

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