Replacing energy by von Neumann entropy in quantum phase transitions

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.08.002· OSTI ID:20976770

Kopp, Angela ^[1]; Xun, Jia ^[1]; Chakravarty, Sudip ^[1]

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1. Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, CA 90095-1547 (United States)

We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.

• OSTI ID: 20976770
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 6 Vol. 322; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRITICALITY
ENTROPY
FRACTALS
FREE ENERGY
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS