Abstract
We study a class of quantum dynamical semigroups on \(\fancyscript{B}({\mathfrak{H}})\) with Lindbladian generators. We give new conditions in order to easily verify that a quantum dynamical system returns to thermal equilibrium. In the classical picture of the interacting -System+Reservoir-, our result can physically be interpreted as follows : the transition may be sufficient so that each eigenvalue energy state of the system communicates with another.
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Fellah, D. Return to Thermal Equilibrium. Lett Math Phys 80, 101–113 (2007). https://doi.org/10.1007/s11005-007-0157-z
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DOI: https://doi.org/10.1007/s11005-007-0157-z