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
References in corpus (5)
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- Non-Markovian Dynamics of Open Quantum Systems: Stochastic Equations and their Perturbative Solutions
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Cited by in corpus (5)
- Eigenvalues of the Liouvillians of Quantum Master Equation for a Harmonic Oscillator
- Damping modes of harmonic oscillator in open quantum systems
- Solutions of generic bilinear master equations for a quantum oscillator -- positive and factorized conditions on stationary states
- Coherent Processing of a Qubit Using One Squeezed State
- Fluctuation-Dissipation Inequality for Quadratic Open Systems