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Journal of Physics A Mathematical and Theoretical

Mechanism of controlling robust and stable charging of open quantum batteries

Naghi Behzadi, H. Kasani

Published Sep 26, 2022• 6 citations
Publisher

Abstract

Abstract Quality of charging and discharging of energy in quantum batteries are mostly affected by environmental dissipations, so the advantages of using such devices depend on the protection of them from the dissipations. In this work, we show that under a certain engineering of coupling strengths of each reservoir modes with elements of charging process (charger and battery), the extension of dissipative reservoir leads to a robust charging against the arisen dissipation. The extension of reservoir is provided by auxiliary systems each of which is similar to the coupled charger–battery system and has the same interactions with the reservoir modes as of the charger and battery constituents. It is demonstrated that the robustness of charging process is well controlled by the number of involved auxiliary systems. Furthermore, a method for stable charging is proposed which provides storing energy in a loss-free dark state of the battery. Also, we observe that the robustness of charging process is related to formation of bound state for the total system (charger–battery-extended reservoir) which in turns can be manipulated by the number of involved auxiliary systems.

DOI
10.1088/1751-8121/ac94fc

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Abstract Quality of charging and discharging of energy in quantum batteries are mostly affected by environmental dissipations, so the advantages of using such devices depend on the protection of them from the dissipations. In this work, we show that under a certain engineering of coupling strengths of each reservoir modes with elements of charging process (charger and battery), the extension of dissipative reservoir leads to a robust charging against the arisen dissipation. The extension of reservoir is provided by auxiliary systems each of which is similar to the coupled charger–battery system and has the same interactions with the reservoir modes as of the charger and battery constituents. It is demonstrated that the robustness of charging process is well controlled by the number of involved auxiliary systems. Furthermore, a method for stable charging is proposed which provides storing energy in a loss-free dark state of the battery. Also, we observe that the robustness of charging process is related to formation of bound state for the total system (charger–battery-extended reservoir) which in turns can be manipulated by the number of involved auxiliary systems.
Arbitrary energy transfer is only feasible in nondissipative charger-battery systems; in realistic processes, however, energy dissipation prevents this. In this work, we introduce a novel charging technique in which the coherent charger-battery interaction is replaced by a dissipative interaction via an engineered reservoir. We demonstrate that exploiting the collective effects of the engineered reservoir allows for additional optimization, giving rise to an optimal redistribution of energy. This not only significantly enhances the efficiency of the charging process but also remarkably enables the quantum battery to accumulate unlimited energy---limited only by the natural energy scale of the device. This phenomenon cannot occur in conventional charger-battery schemes. The article unveils the intricacies of built-in detuning within the context of a shared environment, offering a deeper understanding of the charging mechanisms involved. These findings apply naturally to quantum circuit battery architectures, suggesting the feasibility of efficient energy storage in these systems. The superoptimal charging mechanism offers a practical avenue for boosting the capacity of the battery through charger-battery configurations.
Suppressing coherent energy backflow while maintaining extractable energy in a stable nonequilibrium state remains a central challenge for quantum energy storage. Here, we introduce a reservoir-engineered dual-charger quantum battery architecture, in which nonequilibrium dissipation is exploited as a control resource to stabilize useful stored energy. A hot-reservoir-coupled driver supplies excitations, while a cold-reservoir-coupled cache biases the resonant three-body transition toward charging and suppresses the dressed-state coherences responsible for energy backflow. This mechanism establishes a population-inverted steady state with finite ergotropy and converts reversible charger--battery exchange into persistent energy storage. For uniformly spaced multilevel batteries, we show that the stored energy and ergotropy scale approximately linearly with the number of accessible levels, while the stored-energy utilization approaches unity. The accompanying stationary heat current provides a thermodynamic signature of the charging regime. Our results demonstrate dissipation engineering as a strategy for achieving stable and scalable quantum energy storage beyond transient coherent charging protocols.
We studied the dynamics of entropic uncertainty in Markovian and non-Markovian systems during the charging of open quantum batteries (QBs) mediated by a common dissipation environment. In the non-Markovian regime, the battery is almost fully charged efficiently, and the strong non-Markovian property is beneficial for improving the charging power. In addition, the results show that the energy storage is closely related to the couplings of the charger-reservoir and battery-reservoir; that is, the stronger coupling of a charger reservoir improves energy storage. In particular, entanglement is required to obtain the most stored energy and is accompanied by the least tight entropic bound. Interestingly, it was found that the tightness of the entropic bound can be considered as a good indicator of the energy transfer in different charging processes, and the complete energy transfer always corresponds to the tightest entropic bound. Our results provide insight into the optimal charging efficiency of QBs during practical charging.
Abstract We propose a scheme to achieve a nonreciprocal quantum battery (QB) in the non-Hermitian (NH) system, which can overcome the intrinsic dissipation and reverse flow constraints. The design is based on a charger and a battery, which are coherently coupled and jointly interact with a bad cavity. By introducing the auxiliary bad cavity and exploiting the nonreciprocal condition, this model can harness the environmental dissipation to suppress the reverse energy transfer. Under resonant conditions, we have achieved a four ratio of the battery energy to the charger energy; in contrast, this ratio is significantly reduced under large detuning. Through damping optimization, high efficiency of the short-time charging power is attained. In comparison to the fully nonreciprocal scheme, the QB operating at the exceptional point (EP) exhibits greater resilience to parameter fluctuations. These findings highlight the potential of NH quantum engineering for advancing QB technology, particularly in regimes involving directional energy transfer, controlled dissipation, and entropy management in open quantum systems.
The charging of an open quantum battery is investigated where the charger and the quantum battery interact with a common environment. At zero temperature, the stored energy of the battery is optimal as the charger and the quantum battery share the same coupling strength (g_{C}=g_{B}). By contrast, in the presence of the quantum jump-based feedback control, the energy stored in the battery can be greatly enhanced for different couplings (g_{C}>g_{B}). Considering the feasibility of the experiment, a model of Rydberg quantum battery is proposed with cascade-type atoms interacting with a dissipative optical cavity. The effective coupling strength between the charger (quantum battery) and the cavity field is hence adjustable and one can make the battery close to perfect excitation. The adverse factors of charging quantum batteries such as time delay for feedback, finite temperature, and spontaneous emission of Rydberg atoms are also discussed, and the result shows that the quantum battery is still able to retain a satisfactory energy storage effect.
The performance of open quantum batteries (QBs) is severely limited by decoherence due to the interaction with the surrounding environment. So, protecting the charging processes against decoherence is of great importance for realizing QBs. In this work we address this issue by developing a charging process of a qubit-based open QB composed of a qubit-battery and a qubit-charger, where each qubit moves inside an independent cavity reservoir. Our results show that, in both the Markovian and non-Markovian dynamics, the charging characteristics, including the charging energy, efficiency and ergotropy, regularly increase with increasing the speed of charger and battery qubits. Interestingly, when the charger and battery move with higher velocities, the initial energy of the charger is completely transferred to the battery in the Markovian dynamics. In this situation, it is possible to extract the total stored energy as work for a long time. Our findings show that open moving-qubit systems are robust and reliable QBs, thus making them a promising candidate for experimental implementations.