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On the standard quantum Brownian equation and an associated class of non-autonomous master equations


  • Tameshtit, Allan


It is shown that the standard quantum Brownian equation (QBE) can violate positivity not only past the thermal correlation time, but at arbitrarily long times at high system frequencies. In an effort to improve the standard QBE, exact operator solutions are provided for a class of non-autonomous master equations. These exact solutions are used to derive sufficient positivity conditions for the coefficients of the master equations.

Suggested Citation

  • Tameshtit, Allan, 2013. "On the standard quantum Brownian equation and an associated class of non-autonomous master equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 427-443.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:3:p:427-443
    DOI: 10.1016/j.physa.2012.09.006

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    Cited by:

    1. Tay, B.A., 2017. "Solutions of generic bilinear master equations for a quantum oscillator—Positive and factorized conditions on stationary states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 42-64.


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