Charging a quantum battery in a non-Markovian environment : a collisional model approach

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Quantum Science and Technology, Volume 8, issue 3
We study the effect of non-Markovianity in the charging process of an open-system quantum battery. We employ a 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 study in detail the behaviour of the steady-state ergotropy and the impact of the information backflow to the system on the different features characterizing the charging process. Remarkably, we find that there is a maximum value of the ergotropy achievable: this value can be obtained either in the presence of memoryless environment, but only in the large-loss limit, as derived in (Farina et al 2019 Phys. Rev. B 99 035421), or in the presence of an environment with memory also beyond the large-loss limit. In general, we show that the presence of an environment with memory allows us to generate steady-state ergotropy near to its maximum value for a much larger region in the parameter space and thus potentially in a shorter time. Relying on the geometrical measure of non-Markovianity, we show that in both the cases of an environment with and without memory the ergotropy maximum is obtained when the non-Markovianity of the dynamics of the battery is zero, possibly as the result of a non-trivial interplay between the memory effects induced by, respectively, the environment and the charger connected to the battery.
Funding Information: D M acknowledges financial support from MUR under the ‘PON Ricerca e Innovazione 2014-2020’. M A C R acknowledges financial support from the Academy of Finland via the Centre of Excellence program (Project No. 336810). M G G and A S acknowledge support from UniMi via PSR-2 2020 and PSR-2 2021. The computer resources of the Finnish IT Center for Science (CSC) and the FGCI project (Finland) are acknowledged. Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.
collisional models, quantum battery, quantum thermodynamics
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Morrone, D, Rossi, M A C, Smirne, A & Genoni, M G 2023, ' Charging a quantum battery in a non-Markovian environment : a collisional model approach ', Quantum Science and Technology, vol. 8, no. 3, 035007, pp. 1-14 .