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.
- Anderson localization
- Dissipative quantum system
- Nonanalyticity of free energy
- Quantum phase transition and criticality
- Von Neumann entropy
ASJC Scopus subject areas
- Physics and Astronomy(all)