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Quantum ergodicity for a class of non-generic systems
163 viewed

Quantum ergodicity for a class of non-generic systems

Asadi, P

Quantum ergodicity for a class of non-generic systems

Asadi, P ; Sharif University of Technology | 2015

163 Viewed
  1. Type of Document: Article
  2. DOI: 10.1088/1751-8113/49/5/055301
  3. Publisher: 2015
  4. Abstract:
  5. We examine quantum normal typicality and ergodicity properties for quantum systems whose dynamics are generated by Hamiltonians which have residual degeneracy in their spectrum and resonance in their energy gaps. Such systems can be considered atypical in the sense that degeneracy, which is usually a sign of symmetry, is naturally broken in typical systems due to stochastic perturbations. In particular, we prove a version of von Neumann's quantum ergodic theorem, where a modified condition needs to hold in order to have normal typicality and ergodicity. As a result, we show that degeneracy of spectrum does not considerably modify the condition of the theorem, whereas the existence of resonance is more dominant for obstructing ergodicity
  6. Keywords:
  7. Classical statistical mechanics ; Quantum mechanics ; Quantum statistical mechanics
  8. Source: Journal of Physics A: Mathematical and Theoretical ; Volume 49, Issue 5 , 2015 ; 17518113 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/1751-8113/49/5/055301/meta