Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/4281
Title: Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization.
Authors: Santos, Lea F.
Rigol, Marcos
0000-0001-9400-2709
Keywords: quantum chaos
quantum gases
strongly correlated electrons
Issue Date: 2010
Publisher: American Physical Society
Citation: Santos, Lea F. and Rigol, Marcos. (2010). Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization. Physical Review. E 81(3), 036206.
Series/Report no.: Physical Review E;
Abstract: By means of full exact diagonalization, we study level statistics and the structure of the eigenvectors of one-dimensional gapless bosonic and fermionic systems across the transition from integrability to quantum chaos. These systems are integrable in the presence of only nearest-neighbor terms, whereas the addition of next-nearest neighbor hopping and interaction may lead to the onset of chaos. We show that the strength of the next-nearest neighbor terms required to observe clear signatures of nonintegrability is inversely proportional to the system size. Interestingly, the transition to chaos is also seen to depend on particle statistics, with bosons responding first to the integrability breaking terms. In addition, we discuss the use of delocalization measures as main indicators for the crossover from integrability to chaos and the consequent viability of quantum thermalization in isolated systems.
URI: http://dx.doi.org/10.1103/PhysRevE.81.036206
https://hdl.handle.net/20.500.12202/4281
ISSN: 0031-899X
Appears in Collections:Stern College for Women -- Faculty Publications

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