We are happy to announce our next seminar.
Speaker: Daniele Morrone (UniMi)
When: Thursday, 24th November 2022, 9:30 AM (CET)
Where: Aula Caldirola
Title: Charging a quantum battery in a non-Markovian environment: a collisional model approach
Abstract: We study the effect of non-Markovianity in the charging process of an open-system quantum battery. We employ collisional model framework, where the environment is described by a discrete set of ancillary systems and memory effects in the dynamics can be introduced by allowing these ancillas to interact. We focus on the case where this interaction is described by a partial-swap operator, and we consider both the discrete-time dynamics arising naturally from this model, and its continuous-time limit leading to a memory-kernel master equation under certain assumptions. We study in detail the behaviour of the steady-state ergotropy and the non-trivial interplay between the parameter controlling the information backflow of the environment and the other parameters characterizing the dynamics. Remarkably, we find that there is a maximum value of the ergotropyachievable: This value can be obtained either in the Markovian case, but only in the large-loss limit, as derived in [1], or in the presence of a non-Markovian environment also beyond the large-loss limit. In general, we show that the presence of environment with memory allows us to generate ergotropy near to its maximum value for a much larger region in the parameter space. Finally, we discuss in detail the role of non-Markovianity by evaluating the non-Markovianity measure for the different subsystems composing our quantum battery model. We remarkably find that the maximum value of ergotropy is in general obtained when the non-Markovianity for the battery subsystem only is close to zero, regardless the memory properties of the environment interacting with the charger.
Refs:
[1] D. Farina, G. M. Andolina, A. Mari, M. Polini, and V. Giovannetti, Physical Review B 99, 035421 (2019), arXiv:1810.10890