Non-Markovianity in a collision model with environmental block

Abstract

We present an extended collision model to simulate the dynamics of an open quantum system. In our model, the unit to represent the environment is, instead of a single particle, a block which consists of a number of environment particles. The introduced blocks enable us to study the effects of different strategies of system-environment interactions and states of the blocks on the non-Markovianities. We demonstrate our idea in the Gaussian channels of an all-optical system and derive a necessary and sufficient condition of non-Markovianity for such channels. Moreover, we show the equivalence of our criterion to the non-Markovian quantum jump in the simulation of the pure damping process of a single-mode field. We also show that the non-Markovianity of the channel working in the strategy that the system collides with environmental particles in each block in a certain order will be affected by the size of the block and the embedded entanglement and the effects of heating and squeezing the vacuum environmental state will quantitatively enhance the non-Markovianity.

9 pages, 6 figures, accepted version

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• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Temperature effects on quantum non-Markovianity via collision models
• Validity of Landauer principle and quantum memory effects via collision models
• Quantum synchronization in a collision model
• Robust multipartite entanglement generation via a collision model
• Precursors of non-Markovianity
• Synchronization and Non-Markovianity in open quantum systems
• Optomechanical quadrature squeezing in the non-Markovian regime
• Battery charging in collision models with Bayesian risk strategies
• Response functions as quantifiers of non-Markovianity
• Memory kernel and divisibility of Gaussian Collisional Models
• Quantum non-stationary phenomena of spin systems in collision models
• Information scrambling in a collision model
• Quantum renewal processes
• Correlations break homogenization
• Dissipation induced information scrambling in a collision model
• Coherent control of dissipative dynamics in a periodically driven lattice array
• Witnessing non-Markovianity with Gaussian quantum steering in collision model
• Quantum synchronization in an all-optical stroboscopic quantum simulator
• Transient Dynamics and Homogenization in Incoherent Collision Models