Quantum linear Boltzmann equation in the weak coupling regime
Friday, July 4, 2014
In this seminar, we deal with the dynamics of a test particle interacting with a low density background gas. Under the assumption that the interaction is weak, one can derive a Lindblad master equation for the evolution of the test particle [1,2]. Here, we will exploit a general perturbative approach to the dynamics of open quantum systems; namely, the time-convolutionless projection operator technique . This allows to highlight the role of the Markovian assumption, as well as the difficulties which are usually encountered in the derivation of a quantum counterpart of the linear Boltzmann equation [4,5].
 B. Vacchini, Phys. Rev. Lett. 84, 1374 (2000)  B. Vacchini, J. Math. Phys. 42, 4291 (2001)  H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002)  B. Vacchini and K. Hornberger, Phys.Rep. 478, 71 (2009)  I. Kamleitner and J. Cresser, Phys. Rev. A 81, 012107 (2010)