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arXiv:2310.20680 · Physical Review A

Cooperative isentropic charging of hybrid quantum batteries

Yohan Vianna de Almeida, Tiago F. F. Santos, Marcelo França Santos

Published Nov 17, 2023• 10 citations
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Abstract

Quantum batteries are quantum systems used to store energy to be later extracted by an external agent in the form of work to perform some task. Here we study the charging of a hybrid quantum battery via a collisional model mediated by an anti-Jaynes-Cummings interaction obtained from an off-resonant Raman configuration. The battery is made of two distinct components: a stationary infinite-dimensional single quantum system (e.g., a harmonic oscillator) and a stream of small-dimensional ones (e.g., qutrits). The charging protocol consists of sequentially interacting the harmonic oscillator with each element of the stream, one at a time, under the action of an external energy source and the goal is to analyze how the charging of both the harmonic oscillator and the qutrits is affected by the correlation properties of the stream.

DOI
10.1103/physreva.108.052218

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Quantum batteries are quantum systems used to store energy to be later extracted by an external agent in the form of work to perform some task. Here we study the charging of a hybrid quantum battery via a collisional model mediated by an anti-Jaynes-Cummings interaction obtained from an off-resonant Raman configuration. The battery is made of two distinct components: a stationary infinite-dimensional single quantum system (e.g., a harmonic oscillator) and a stream of small-dimensional ones (e.g., qutrits). The charging protocol consists of sequentially interacting the harmonic oscillator with each element of the stream, one at a time, under the action of an external energy source and the goal is to analyze how the charging of both the harmonic oscillator and the qutrits is affected by the correlation properties of the stream.
Quantum batteries are quantum systems that store energy which can then be used for quantum tasks. One relevant question about such systems concerns the differences and eventual advantages over their classical counterparts, whether in the efficiency of the energy transference, input power, total stored energy, or other relevant physical quantities. Here, we show how a purely quantum effect related to the vacuum of the electromagnetic field can enhance the charging of a quantum battery. In particular, we demonstrate how an anti-Jaynes-Cummings interaction derived from an off-resonant Raman configuration can be used to increase the stored energy of an effective two-level atom when compared to its classically driven counterpart, eventually achieving full charging of the battery with zero entropic cost.
We propose and investigate the performance of a hybrid quantum battery, the so-called Kerr quantum battery, which consists of two interacting quantum oscillators, i.e., the charger is a harmonic oscillator and the battery is an anharmonic oscillator involving the Kerr nonlinearity. Such a setup creates nonuniform spacing between energy levels of the quantum oscillator that increases with the energy level. We find that the Kerr quantum battery can store more energy than the qubit battery and reaches maximum stored energy faster than the harmonic oscillator battery. In particular, the average charging power of the Kerr quantum battery is larger than the qubit battery. Furthermore, most of the stored energy in the Kerr quantum battery can be extracted for work. All of the properties of the Kerr quantum battery are controlled by the strength of nonlinearity, in which the enhancement of the nonlinearity transforms the battery from a harmonic oscillator to a qubit.
Recently, an unconditional advantage has been demonstrated for the process of charging of a quantum battery in a collisional model [Seah et al., Phys. Rev. Lett. 127, 100601 (2021)]. Motivated by the question of whether such an advantage could be observed experimentally, we consider a model where the battery is described by a quantum harmonic oscillator or a large spin, charged via repeated interactions with a stream of qubit units. For both setups, we show that a quantum protocol can significantly outperform the most general adaptive classical schemes, leading to 90 and 38% higher charging power for the cavity and large spin batteries, respectively. Toward an experimental realization, we also characterize the robustness of this quantum advantage to imperfections (noise and decoherence) considering implementations with state-of-the-art micromasers and hybrid superconducting devices.
Quantum batteries are quantum systems that potentially serve as fuel for other quantum devices by receiving and supplying energy. In this Letter, we investigate the charging processes of a state-of-the-art quantum battery made of a harmonic oscillator, which can store infinite amounts of energy in principle. We experimentally simulate the charging process using a high-dimensional photonic quantum system with multiple concatenated interferometers. Our experiments demonstrate that both the stored and extractable energy of the quantum battery can be significantly improved by introducing a catalyst system. This charging protocol has the same performance as optimized the frequency of the external field in the direct charging protocol but is more convenient without the requirement of probing the global frequency of the charge-battery system. From the viewpoint of experimental innovation, we propose a general method to deterministically implement an arbitrary trace-preserving nonunitary channel and realize it experimentally. Our work shows the potential of this interesting quantum battery and sheds light on experimental investigations of quantum batteries.
Remote charging of a quantum battery (QB) is hindered by radiative leakage of the excitation into the photonic environment that acts as a mediator for energy transfer. We consider a charger-battery model consisting of two two-level systems (TLSs) that are locally coupled to two sites of a one-dimensional coupled cavity array. When their transition frequency lies outside the propagation band, the system forms atom-photon bound states with localized photonic components, and the overlap of these components lifts the degeneracy of the even- and odd-parity bound states, yielding an energy splitting that drives coherent energy transfer from the charger to the QB. In this way, the band gap suppresses resonant emission and the localized bound states mediate remote charging. From the parity-resolved spectrum, we relate the charging time to the energy splitting and the charged ergotropy to the fraction of TLS population on the bound states. Bound states closer to the band edge extend the interaction range of the TLSs but contain a large photonic fraction and are consequently more susceptible to photon loss.
Quantum batteries represent one of the most promising applications of quantum thermodynamics, whose goal is not only to store energy inside small quantum systems but also to potentially leverage genuine quantum effects to outperform classical counterparts. In this context, however, energy fluctuations become extremely relevant and have a significant impact on the charging efficiency. In our work, we consider a simple yet paradigmatic model in which a flying qubit (the battery) coherently interacts with a single mode optical cavity (the charger) through a number conserving Jaynes-Cummings interaction. By making use of full-counting statistics techniques, we fully characterize the average charging power, its fluctuations and the associated charging efficiency for several different choices of initial states of the optical cavity, demonstrating that preparing the latter in a genuinely quantum non-Gaussian Fock state (rather than a classical or even non-classical Gaussian state) leads to a definite and (in principle) measurable advantage in all these figures of merit.