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) |
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Pages (from-to) | 1466-1476 |
Number of pages | 11 |
Journal | Annals of Physics |
Volume | 322 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2007 |
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)