On the standard quantum Brownian equation and an associated class of non-autonomous master equations
arXiv:1206.2575 · doi:10.1016/j.physa.2012.09.006
Abstract
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.
In the second version, a constraint for k_1+k_2 is added in Appendix 2 and a corresponding change to Eq.(46) is made
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