Exact Closed Master Equation for Gaussian Non-Markovian Dynamics.

@article{Ferialdi2016ExactCM,
  title={Exact Closed Master Equation for Gaussian Non-Markovian Dynamics.},
  author={Luca Ferialdi},
  journal={Physical review letters},
  year={2016},
  volume={116 12},
  pages={
          120402
        }
}
  • L. Ferialdi
  • Published 22 December 2015
  • Mathematics, Physics
  • Physical review letters
Non-Markovian master equations describe general open quantum systems when no approximation is made. We provide the exact closed master equation for the class of Gaussian, completely positive, trace preserving, non-Markovian dynamics. This very general result allows us to investigate a vast variety of physical systems. We show that the master equation for non-Markovian quantum Brownian motion is a particular case of our general result. Furthermore, we derive the master equation unraveled by a… 
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42 Citations
Background Citations
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Methods Citations
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Results Citations
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42 Citations

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References

SHOWING 1-10 OF 27 REFERENCES
Theory of open quantum systems
A quantum dissipation theory is constructed with the system–bath interaction being treated rigorously at the second-order cumulant level for both reduced dynamics and initial canonical boundary…
Decoherence and the Appearance of a Classical World in Quantum Theory : E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch and I.-O Stamatescu, Springer-Verlag, New York, 2003
Decoherence and the Appearance of a Classical World in Quantum Theory : E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch and I.-O Stamatescu, Springer-Verlag, New York, 2003
Phys
  • Rev. Lett. 113, 200403
  • 2014
Phys Rev
  • D 45, 2843
  • 1992
Phys
  • Rep. 379, 257
  • 2003
Found
  • C. Ross
  • Medicine
    The Dental register
  • 1869
Phys
  • Rev. A 71, 020101(R) (2005); M.W. Y. Tu and W.M. Zhang, Phys. Rev. B 78, 235311 (2008); H. P. Breuer and B. Vacchini, Phys. Rev. E 79, 041147 (2009); W.-M. Zhang, P.-Y. Lo, H.-N. Xiong, M.W.-Y. Tu, and F. Nori, Phys. Rev. Lett. 109, 170402 (2012); B. Vacchini, Phys. Rev. A 87, 030101(R)
  • 2013
Physica A 121
  • 587
  • 1983
Phys
  • Rev. A 40, 1165
  • 1989
Phys
  • Rep. 118, 1 (1985); L. Diósi, Found. Phys. 20, 63
  • 1990
...
...