Quantum linear Boltzmann equation in the weak coupling regime

Friday, July 4, 2014
Andrea Smirne
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 [3]. 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].
[1] B. Vacchini, Phys. Rev. Lett. 84, 1374 (2000) [2] B. Vacchini, J. Math. Phys. 42, 4291 (2001) [3] H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002) [4] B. Vacchini and K. Hornberger, Phys.Rep. 478, 71 (2009) [5] I. Kamleitner and J. Cresser, Phys. Rev. A 81, 012107 (2010)