International Journal of Theoretical Physics

, Volume 53, Issue 3, pp 1046–1055 | Cite as

Unified Treatment of Geometric Phases for Statistical Ensembles of Classical, Quantum and Hybrid Systems

  • N. Burić
  • D. B. Popović
  • M. Radonjić
  • S. Prvanović
Article
  • 89 Downloads

Abstract

Geometric phases for evolution of statistical ensembles of Hamiltonian dynamical systems are introduced utilizing the fact that the Liouville equation is itself an infinite integrable Hamiltonian system. This general framework provides unified treatment of geometric phases for pure or mixed states of classical, quantum or hybrid quantum-classical systems.

Keywords

Geometric phases Statistical ensembles 

Notes

Acknowledgements

This work was supported by the Ministry of Science and Education of the Republic of Serbia, contracts Nos. 171006, 171017, 171020, 171028 and 171038 and by COST (Action MP1006).

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • N. Burić
    • 1
  • D. B. Popović
    • 1
  • M. Radonjić
    • 1
  • S. Prvanović
    • 1
  1. 1.Institute of PhysicsUniversity of BelgradeBelgradeSerbia

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