Coarse graining a non-Markovian collisional model

Abstract

The dynamics of systems subjected to noise is called Markovian in the absence of memory effects, i.e. when its immediate future only depends on its present. Time correlations in the noise source may generate non-Markovian effects that, sometimes, can be erased by appropriately coarse graining the time evolution of the system. In general, the coarse graining time $t_{\text{CG}}$ is taken to be much larger than the correlation time $\tau$ but no direct relation between them is established. Here we analytically obtain a relation between $t_{\text{CG}}$ and $\tau$ for the dynamics of a qubit subjected to a time correlated environment. Our results can be applied in principle to any distribution of the environmental correlations and can be tested through a collisional model where the qubit sequentially interacts with correlated qutrits.

References in corpus (7)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Collision-model-based approach to non-Markovian quantum dynamics
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Simulation of indivisible qubit channels in collision models
• Environmental correlations and Markovian to non-Markovian transitions in collisional models
• All-optical non-Markovian stroboscopic quantum simulator

Cited by in corpus (3)

• Divisibility of quantum dynamical maps and collision models
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• Lindblad Formalism based on Fermion-to-Qubit mapping for Non-equilibrium Open-Quantum Systems