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Optics Letters

Quantum batteries in non-Markovian reservoirs

Jialin Li, H. Z. Shen, X. X. Yi

Published Sep 26, 2022• 29 citations
Publisher

Abstract

In this Letter, we propose schemes to improve the performance of quantum batteries and provide a new, to the best of our knowledge, quantum source for a quantum battery without an external driving field. We show that the memory effect of the non-Markovian reservoir can play a significant role in improving the performance of quantum batteries, which originates from a backflow on the ergotropy in the non-Markovian regime, while there is no counterpart in Markovian approximation. We find that the peak for the maximum average storing power in the non-Markovian regime can be enhanced by manipulating the coupling strength between the charger and the battery. Finally, we find that the battery can also be charged by non-rotating wave terms without driving fields.

DOI
10.1364/ol.471820

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In this Letter, we propose schemes to improve the performance of quantum batteries and provide a new, to the best of our knowledge, quantum source for a quantum battery without an external driving field. We show that the memory effect of the non-Markovian reservoir can play a significant role in improving the performance of quantum batteries, which originates from a backflow on the ergotropy in the non-Markovian regime, while there is no counterpart in Markovian approximation. We find that the peak for the maximum average storing power in the non-Markovian regime can be enhanced by manipulating the coupling strength between the charger and the battery. Finally, we find that the battery can also be charged by non-rotating wave terms without driving fields.
In general, a quantum battery unavoidably interacts with its surroundings. Here, we study memory effects on energy and ergotropy of a quantum battery in the framework of open system dynamics, where the battery and charger are individually allowed to access a bosonic environment. Our investigation shows that the battery can be fully charged and all the energy stored in the battery can be extracted in the presence of non-Markovian dynamics, in addition, its energy can be preserved for long times compared with Markovian dynamics. Our results indicate that memory effects can play a significant role in improving the performance of quantum batteries.
Abstract The performance of quantum technologies that use entanglement and coherence as a resource is highly limited by the effects of decoherence due to their interaction with some environment. In particular, it is important to take into account situations where such devices unavoidably interact with surrounding. Here, we study memory effects on energy and ergotropy of quantum batteries in the framework of open system dynamics, where the battery and charger are individually allowed to access a bosonic environment. Our investigation shows that the battery can be fully charged as well as its energy can be preserved for long times in non-Markovian dynamics compared with Markovian dynamics. Moreover, the non-Markovianity increase makes it possible to extract the total stored energy as work and the discharge time becomes longer. Our results indicate that memory effects can play a significant role in improving the performance of quantum batteries.
In the field of quantum thermodynamics, optimizing the performance of quantum battery (QB) under environmental effects remains a primary research interest. However, environmental control remains challenging due to its high-dimensional degrees of freedom, particularly in the non-Markovian regimes. This work investigates the charging dynamics of a QB model subjected to a tunable non-Markovian environment. We show that a controllable non-Markovian setting can be exploited to improve the QB's primary figure of merit. Specifically, we show that by tuning the relative ratio of QB-charger coupling strength and charger-bath coupling strength, the maximum dynamic values of the charging power, energy storage, and work extraction of QB can be significantly increased. Our findings suggest that employing non-Markovian effects in a tunable way offers a promising avenue for enhancing the performance of quantum thermodynamic devices, and sheds new light on the intersection between the reservior engneering and quantum thermodynamics.
We analyze the performance of a quantum battery in terms of energy storage and energy extraction, assisted by nonlinearities in a charger-battery system utilizing an open-system approach. In particular, we consider two types of nonlinearities in the system, viz. nonlinearity in the coupling between battery and charger, and the charger itself comprising an anharmonic oscillator. In both these scenarios, the charger is connected to an environment, and is driven by an external laser source. We derive the Markovian master equation for the dynamics of the combined charger-battery system in presence of the environment. When the charger is non-linearly coupled to a battery, we find an enhancement in the steady state ergotropy over the linearly-coupled case. We further see that the times at which steady state and maximum ergotopies are attained get decreased in presence of non-linear coupling. We also identify instances where no ergotropy is obtained in the linear case, but can be obtained in presence of any non-zero value of nonlinearity. We additionally find a complementarity between the non-linear interaction strength and the coherent-drive strength in the steady-state ergotropy values, i.e. the same ergotropy as that obtained using weak nonlinearity and strong coherent drive can be obtained utilizing an opposite order of their values. In case when the charger is modeled as a multi-level transmon with an inherent anharmonicity, we find an advantage in maximum ergotropy values over the harmonic instance. Unlike the non-linearly coupled batteries, the ones mediated by an anharmonic charger prove to be useful in the transient regime. We also determine values of the coherent drive for which the anharmonic battery is beneficial over the harmonic one at all timescales. Further, we observe a distinct region of the anharmonic strength and coherent drive where ergotropy values reach their maxima.
Abstract We investigate non-Markovianity and its effects on thermodynamic principles and quantum battery performance within a structured nonequilibrium environment consisting of a three-level memory unit and two thermal reservoirs. We demonstrate that temperature imbalance, average temperature, and memory structure serve as effective control parameters for modulating non-Markovianity, exhibiting distinct behaviors for bosonic and fermionic reservoirs. An improved Landauer’s bound applicable to non-Markovian processes is derived, overcoming the limitations of its conventional counterpart. By treating the central system as a quantum battery and the environment as a charger, we show that steady-state ergotropy can be achieved and tuned via thermodynamic parameters. Furthermore, non-Markovian dynamics significantly delay the discharge of the battery. Our study provides a pathway for constructing non-Markovian thermodynamic environments and harnessing non-Markovian effects to enhance the performance of quantum thermal devices.
We theoretically investigate the role played by non-Markovianity in the charging of a quantum battery. We focus on the case of a Micromaser, where the energy is stored in a resonant cavity mode and memory effects are introduced and controlled by coupling this mode to a memory ancilla, described as a two-level system, that in turn sequentially interacts with a stream of two-level chargers through pairwise exchange interactions leading to a partial swap. Through numerical analysis, we show that non-Markovian memory effects act as a resource that enhances both the charging capacity and the stability of this device with respect to the Markovian counterpart. We conclude our study showing that the proposed scheme can be implemented in state-of-the-art solid-state platforms for circuit quantum electrodynamics.