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Explore the analysis of decoherence in Markovian Quantum Open Systems, focusing on dynamic dependence, Liouville propagation, entanglement dynamics, and more. This study delves into the effects of coupling to the environment on separation time, with semiclassical and quantum perspectives. Discover the optimal experimental setup for measuring entanglement and implications for future research.
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Decoherence and Classical dynamics in Markovian Quantum Open Systems O. Brodier(1)A. M. Ozorio de Almeida(2) (1)M.P.I.P.K.S. Dresden, ALLEMAGNE (2)C.B.P.F. Rio de Janeiro, BRASIL
Phase Space Representation Liouville propagation: Classical propagation Wigner function: Quantum propagation S. Habib, K. Shizume, W. H. Zurek Phys.Rev.Lett. 80 (1998) 4361-4365
Separation time Z. P. Karkuszewski, J. Zakrzewski, W. H. Zurek Phys. Rev. A 65, 042113 (2002)
Decoherence due to coupling to environment: effect on separation time?
Characteristic function Momenta: Semiclassical analysis: Markovian Quantum Open System: Hamilton Jacobi:
Result with
Conclusion • analysis of decoherence of a Markovian Quantum Open System • Dynamical dependence of decoherence • M. Ozorio de Almeida, O. Brodier • in press Ann. Phys. (2006)
A B A B Entanglement dynamics Entanglement of a mixture Measuring environment → Pure entanglement
A B Setup 1
A B Setup 2
Conclusion • For this example there exists an optimal experimental setup which gives the exact entanglement measure. • General Prescription for Measuring Environment?