Replacing energy by von Neumann entropy in quantum phase transitions

Angela Kopp; Xun Jia; Sudip Chakravarty

doi:10.1016/j.aop.2006.08.002

Replacing energy by von Neumann entropy in quantum phase transitions

Angela Kopp, Xun Jia, Sudip Chakravarty

Research output: Contribution to journal › Article

33 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1466-1476
Number of pages	11
Journal	Annals of Physics
Volume	322
Issue number	6
DOIs	https://doi.org/10.1016/j.aop.2006.08.002
State	Published - Jun 1 2007

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Keywords

Anderson localization
Dissipative quantum system
Entanglement
Nonanalyticity of free energy
Quantum phase transition and criticality
Von Neumann entropy

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Kopp, A., Jia, X., & Chakravarty, S. (2007). Replacing energy by von Neumann entropy in quantum phase transitions. Annals of Physics, 322(6), 1466-1476. https://doi.org/10.1016/j.aop.2006.08.002

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Access to Document

10.1016/j.aop.2006.08.002