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

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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.

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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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Authors and Affiliations

  1. Institute of Physics, University of Belgrade, P.O. Box 68, 11000, Belgrade, Serbia

    N. Burić, D. B. Popović, M. Radonjić & S. Prvanović

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  1. N. Burić
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  2. D. B. Popović
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  3. M. Radonjić
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  4. S. Prvanović
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Correspondence to N. Burić.

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Burić, N., Popović, D.B., Radonjić, M. et al. Unified Treatment of Geometric Phases for Statistical Ensembles of Classical, Quantum and Hybrid Systems. Int J Theor Phys 53, 1046–1055 (2014). https://doi.org/10.1007/s10773-013-1898-3

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  • DOI: https://doi.org/10.1007/s10773-013-1898-3

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