Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Entanglement across a transition to quantum chaos

Journal Article · · Physical Review. A
 [1]; ;  [1];  [1]
  1. Center for Nonlinear and Complex Systems, Universita degli Studi dell'Insubria, via Vallegio 11, Como 22100 (Italy)
We study the relation between entanglement and quantum chaos in one- and two-dimensional spin-1/2 lattice models, which exhibit mixing of the noninteracting eigenfunctions and transition from integrability to quantum chaos. Contrary to what occurs in a quantum phase transition, the onset of quantum chaos is not a property of the ground state but takes place for any typical many-spin quantum state. We study bipartite and pairwise entanglement measures--namely, the reduced von Neumann entropy and the concurrence--and discuss quantum entanglement sharing. Our results suggest that the behavior of the entanglement is related to the mixing of the eigenfunctions rather than to the transition to chaos.
OSTI ID:
20717889
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

Similar Records

Reexamination of entanglement and the quantum phase transition
Journal Article · Mon Feb 28 23:00:00 EST 2005 · Physical Review. A · OSTI ID:20650325

Entanglement and local extremes at an infinite-order quantum phase transition
Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:21408403

Comb entanglement in quantum spin chains
Journal Article · Sat Jul 15 00:00:00 EDT 2006 · Physical Review. A · OSTI ID:20852881