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Decoherence and Classical dynamics in Markovian Quantum Open Systems

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:.

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Decoherence and Classical dynamics in Markovian Quantum Open Systems

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  1. 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

  2. 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

  3. Separation time Z. P. Karkuszewski, J. Zakrzewski, W. H. Zurek Phys. Rev. A 65, 042113 (2002)

  4. Decoherence due to coupling to environment: effect on separation time?

  5. Characteristic function Momenta: Semiclassical analysis: Markovian Quantum Open System: Hamilton Jacobi:

  6. Result with

  7. 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)

  8. W.K.B.

  9. A B A B Entanglement dynamics Entanglement of a mixture Measuring environment → Pure entanglement

  10. A B Setup 1

  11. A B Setup 2

  12. Conclusion • For this example there exists an optimal experimental setup which gives the exact entanglement measure. • General Prescription for Measuring Environment?

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