Collision models of open quantum systems, also known as repeated interaction models, provide an effective way to derive well behaved master equations for a broad range of situations. The key idea is to assume that the system interacts with an environment consisting of a large number of subenvironment – or ancillas – via a sequence of pairwise short collisions at the end of which the state of the ancilla is traced out. The key advantage of such approach is that, while on one hand it can reproduce any standard markonian dynamics, it provides a neat way to derive non markovian master equation when auxiliary degrees of freedom are introduced.
In this talk we will overview our recent progress in this field.
Composite quantum collision models, S.Lorenzo, F. Ciccarello, G. M.Palma, arXiv:1705.03215
A class of exact memory-kernel master equations S.Lorenzo, F.Ciccarello, G. M.Palma Phys. Rev. A 93, 052111 (2016)
Landauer's principle in multipartite open quantum system dynamics, S. Lorenzo, R. McCloskey, F. Ciccarello, M. Paternostro, G. M. Palma, Phys.Rev.Lett.115, 120403 (2015)
Heat flux dynamics in dissipative cascaded systems; Salvatore Lorenzo, Alessandro Farace, Francesco Ciccarello, G. Massimo Palma, Vittorio Giovannetti; Phys.Rev.A 91, 022121 (2015)
Collision-model-based approach to non-Markovian quantum dynamics, F.Ciccarello, G.M.Palma, V.Giovannetti, Phys.Rev. A 87, 040103 (2013)
Master equation for cascade quantum channels: a collisional approach, V. Giovannetti, G. M. Palma, J. Phys.B 45, 154003 (2012)
Master equations for correlated quantum channels,V.Giovannetti, G.M.Palma, Phys. Rev. Lett. 108, 040401 (2012)