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arXiv:2508.11333 · Journal of Physics A Mathematical and Theoretical

Noise resilience of spin quantum battery in the presence of DM interactions

B. Vigneshwar, R Sankaranarayanan

Published Dec 23, 2025• 3 citations
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Abstract

Abstract Quantum batteries utilize quantum effects to enhance energy storage and work extraction quantified by ergotropy. However, degradation of stored energy due to environmental noise remains a key limitation. For a single qubit, we show that repeated amplitude damping and bit-flip noises lead to ergotropy loss, while repeated phase-flip noise permits partial preservation of work. Extending this protocol to a two-qubit Heisenberg XYZ system with Dzyaloshinsky–Moriya interaction (DMI), we find that strong DMI widens the energy gap and stabilizes chiral correlations. Therefore, ergotropy persists in DMI-dominated regimes for coherent initial states, demonstrating that chiral spin interactions serve as a microscopic resource for noise-resilient quantum batteries.

DOI
10.1088/1751-8121/ae30b8

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Abstract Quantum batteries utilize quantum effects to enhance energy storage and work extraction quantified by ergotropy. However, degradation of stored energy due to environmental noise remains a key limitation. For a single qubit, we show that repeated amplitude damping and bit-flip noises lead to ergotropy loss, while repeated phase-flip noise permits partial preservation of work. Extending this protocol to a two-qubit Heisenberg XYZ system with Dzyaloshinsky–Moriya interaction (DMI), we find that strong DMI widens the energy gap and stabilizes chiral correlations. Therefore, ergotropy persists in DMI-dominated regimes for coherent initial states, demonstrating that chiral spin interactions serve as a microscopic resource for noise-resilient quantum batteries.
Quantum batteries, which are energy-storage or state-storage devices that exploit unique quantum effects, are sensitive to environmental noise. Here, we demonstrate that suitably engineered noise can induce a "Zeno-like" stabilization effect of the charging process in a spin-chain quantum battery within the Heisenberg XYZ model. Focusing on a system size N=6, which balances computational cost and storage capacity, we find that the ergotropy-to-energy ratio W(t)/E_B(t) attains a maximum value of about 0.99 at a certain time parameter value. Then, by varying the noise strength in each channel, we find that not only does decoherence merely degrade performance but it may also stabilize stored energy and ergotropy in the high noise strength regime. For instance, the phase-flip channel slows charging and reduces charging power, but its discharging behavior releases energy and ergotropy more slowly, allowing the battery to be used for longer times compared to bit-flip and bit-phase-flip channels. In contrast, the bit-flip channel enables fast charging, but yields low storage and rapid energy release. Remarkably, the bit-phase-flip channel can combine the advantages of both bit-flip and phase-flip channels in the high-noise-strength regime. The bit-phase-flip channel supports accelerated charging together with enhanced storage capacity, while its discharging behavior resembles that of the bit-flip channel with rapid energy release. These results reveal that, under sufficiently strong noise, environmental decoherence induces a Zeno-like stabilization, allowing it to achieve enhanced charging performance and to stabilize stored energy and ergotropy in the spin-chain quantum battery.
Abstract This study explores the energy storage dynamics of a quantum battery (QB) modeled using a dipolar spin system with Dzyaloshinskii–Moriya (DM) interaction. We examine the performance of this system in terms of ergotropy, instantaneous power, capacity, and quantum coherence using a two-qubit model. By solving the system’s time evolution under cyclic unitary processes, we analyze how external parameters such as temperature, magnetic field, and DM interaction influence the charging behavior and quantum resources of the battery. The findings demonstrate that quantum coherence and DM interaction significantly enhance the energy storage efficiency and power output of the quantum battery, offering promising strategies for designing high-performance quantum energy storage devices. Furthermore, we investigate the performance of quantum battery under the influence of a common dephasing environment, which limits the long-term work-extraction capability of dipolar quantum batteries.
This study explores the energy storage dynamics of a quantum battery (QB) modeled using a dipolar spin system with Dzyaloshinskii-Moriya (DM) interaction. We examine the performance of this system in terms of ergotropy, instantaneous power, capacity, and quantum coherence using a two-qubit model. By solving the system's time evolution under cyclic unitary processes, we analyze how external parameters such as temperature, magnetic field, and DM interaction influence the charging behavior and quantum resources of the battery. The findings demonstrate that quantum coherence and DM interaction significantly enhance the energy storage efficiency and power output of the quantum battery, offering promising strategies for designing high-performance quantum energy storage devices. Furthermore, we investigate the performance of quantum battery under the influence of a common dephasing environment, which limits the long-term work-extraction capability of dipolar quantum batteries.
Going beyond isolated system dynamics, we examine how local and spatially correlated reservoirs influence the work extraction in quantum batteries. By employing a one-dimensional spin-1/2 model coupled to baths via dephasing and amplitude-damping noise, we demonstrate that correlations in reservoirs can significantly enhance battery's performance compared to local noise. In the dephasing scenario, we prove that correlated reservoirs produce a finite amount of extractable work, or ergotropy, during the transient regime when a two-cell battery is initialized in a product state while local noise yields vanishing ergotropy at all times, despite nonvanishing stored energy in both cases. Numerical simulations confirm that this advantage persists across larger system sizes and for both entangled and product initial states. We also find that the dynamics of quantum coherence closely mirror those of ergotropy, highlighting coherence as a key resource underlying the enhanced performance of quantum batteries. Further, we observe that the fraction of stored energy extracted from quantum batteries displays a sharper contrast between the correlated and local reservoirs. Moreover, for dephasing noise, this fraction remains independent of system size, whereas in the amplitude damping case, it exhibits a clear system-size dependence within the transient regime, highlighting distinct operational behaviors under different noise models. In addition, we reveal that when the battery dynamics is governed by an effective Hamiltonian with long-range interactions, it yields higher ergotropy compared to short-range interactions, emphasizing the advantages of reservoir engineering for efficient device design.
We investigate the performance of a quantum battery exposed to local Markovian and non-Markovian dephasing noises. The battery is initially prepared as the ground state of a one-dimensional transverse XYXYXY model with open boundary condition and is charged (discharged) via interactions with local bosonic reservoirs. We show that in the transient regime, the quantum battery (QB) can store energy faster and has a higher maximum extractable work, quantified via ergotropy, when it is affected by local phase-flip or bit-flip Markovian noise compared to the case when there is no noise in the system. In both the charging and discharging processes, we report the enhancement in work output as well as in ergotropy when all the spins are affected by a non-Markovian Ohmic bath in both the transient and the steady-state regimes, thereby showing a counterintuitive advantage of decoherence in the QB. In both Markovian and non-Markovian cases, we identify the system parameters and the corresponding noise models which lead to maximum enhancement of work output and ergotropy. Moreover, we show that the benefit due to noise persists even with the initial state being prepared at a moderate temperature.
Protecting quantum batteries from environmental noise remains a challenge. Using exact Burshtein-Kubo equations, we study a two-spin quantum battery with Dzyaloshinskii-Moriya (DM) coupling under indepen dent local longitudinal random telegraph noise (RTN). At a fixed effective noise scale, the DM-assisted slow switching protocol yields a superadditive transient ergotropy gain and near-maximal ergotropy during the initial charging stage, while the no-DM slow-switching control reaches comparable ergotropy only in a later revival. A finite superadditive region persists at fixed RTN amplitude, with protocol-dependent location and gain. In the Ising model, the enhancement is nonmonotonic in DM strength, with intermediate coupling giving near-optimal performance. Dressed-channel analysis associates this enhancement with changes in transition frequencies and longitudinal-noise matrix elements that reduce slow-RTN spectral weight. Superadditivity also persists in the tested anisotropic XY model.