Frustrating Quantum Batteries

A.G. Catalano, S.M. Giampaolo, O. Morsch, V. Giovannetti, F. Franchini
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Abstract

We propose to use a quantum spin chain as a device to store and release energy coherently and we investigate the interplay between its internal correlations and outside decoherence. We employ the quantum Ising chain in a transverse field and our charging protocol consists of a sudden global quantum quench in the external field to take the system out of equilibrium. Interactions with the environment and decoherence phenomena can dissipate part of the work that the chain can supply after being charged, measured by the ergotropy. We find that overall, the system shows remarkably better performance, in terms of resilience, charging time, and energy storage, when topological frustration is introduced by setting antiferromagnetic interactions with an odd number of sites and periodic boundary conditions. Moreover, we show that in a simple discharging protocol to an external spin, only the frustrated chain can transfer work and not just heat.

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令人沮丧的量子电池
我们提议使用量子自旋链作为一种装置,以相干方式存储和释放能量,并研究其内部相关性与外部退相干之间的相互作用。我们在横向场中使用量子伊辛链,我们的充电协议包括在外部场中突然进行全局量子淬火,使系统脱离平衡状态。与环境的相互作用和退相干现象会耗散量子伊辛链在充电后所能提供的部分功,这是用各向异性来测量的。我们发现,当通过设置具有奇数位点和周期性边界条件的反铁磁相互作用来引入拓扑沮度时,系统在复原力、充电时间和能量存储方面的总体性能会明显提高。此外,我们还证明,在对外部自旋的简单放电协议中,只有沮散链才能传递功,而不仅仅是热量。
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