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

Allan Tameshtit

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 3, 427-443

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.

Keywords: Quantum open systems; Quantum Brownian equation; Positivity conditions; Quantum master equations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:3:p:427-443

DOI: 10.1016/j.physa.2012.09.006

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