A quantum non-Markovian collision model: incoherent swap case

Abstract

We have recently presented a collision-model-based framework to approach non-Markovian quantum dynamics [Ciccarello F Palma G M and Giovannetti V 2013 Phys. Rev. A 87, 040103(R)]. As a distinctive feature, memory is introduced in a dynamical way by adding extra inter-ancillary collisions to a standard (memoryless) collision model. Here, we focus on the case where such intra-bath collisions are described by incoherent partial swap operations. After briefly reviewing the model, we show how to include temperature as an additional parameter by relaxing the assumption that each bath ancilla is initially in a pure state. We also calculate explicitly the dynamical map entailed by the master equation in the paradigmatic instance of a Jaynes-Cummings system-ancilla coupling.

8 pages

References in corpus (5)

• Foundations and Measures of Quantum Non-Markovianity
• Quantum channels and their entropic characteristics
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Exact master equations for the non-Markovian decay of a qubit
• Simulation of indivisible qubit channels in collision models

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