We derive the general form of a master equation describing the reduced time evolution of a sequence of subsystems "propagating'' in an environment which can be described as a sequence of subenvironments. The interaction between subsystems and subenvironments is described in terms of a collision model, with the irreversible dynamics of the subenvironments between collisions explicitly taken into account. In the weak coupling regime, we show that the collisional model produces a correlated Markovian evolution for the joint density matrix of the multipartite system. The associated Lindblad superoperator contains pairwise terms describing cross correlation between the different subsystems. Such a model can describe a broad range of physical situations, ranging from quantum channels with memory to photon propagation in concatenated quantum optical systems.
Giuovannetti, V., Palma, G. (2012). Master Equations for Correlated Quantum Channels. PHYSICAL REVIEW LETTERS, 108, 40401-1-40401-5 [10.1103/PhysRevLett.108.040401].
Master Equations for Correlated Quantum Channels
PALMA, Gioacchino Massimo
2012-01-01
Abstract
We derive the general form of a master equation describing the reduced time evolution of a sequence of subsystems "propagating'' in an environment which can be described as a sequence of subenvironments. The interaction between subsystems and subenvironments is described in terms of a collision model, with the irreversible dynamics of the subenvironments between collisions explicitly taken into account. In the weak coupling regime, we show that the collisional model produces a correlated Markovian evolution for the joint density matrix of the multipartite system. The associated Lindblad superoperator contains pairwise terms describing cross correlation between the different subsystems. Such a model can describe a broad range of physical situations, ranging from quantum channels with memory to photon propagation in concatenated quantum optical systems.File | Dimensione | Formato | |
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