Unified Treatment of Geometric Phases for Statistical Ensembles of Classical, Quantum and Hybrid Systems |
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| Authors: | N Buri? D B Popovi? M Radonji? S Prvanovi? |
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| Institution: | 1. Institute of Physics, University of Belgrade, P.O. Box 68, 11000, Belgrade, Serbia
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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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