Replacing energy by von Neumann entropy in quantum phase transitions

Angela Kopp, Xun Jia, Sudip Chakravarty

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


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 languageEnglish (US)
Pages (from-to)1466-1476
Number of pages11
JournalAnnals of Physics
Issue number6
StatePublished - Jun 2007


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

ASJC Scopus subject areas

  • General Physics and Astronomy


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