We investigate the performance of a one-dimensional dimerized 𝑋⁢𝑌 chain as a spin quantum battery. Such integrable model shows a rich quantum phase diagram that emerges through a mapping of the spins onto auxiliary fermionic degrees of freedom. We consider a charging protocol relying on the double quench of an internal parameter, namely the strength of the dimerization, and address the energy stored in the systems. We observe three distinct regimes, depending on the timescale characterizing the duration of the charging: a short-time regime related to the dynamics of the single dimers, a long-time regime related to the recurrence time of the system at finite size, and a thermodynamic limit time regime. In the latter, the energy stored is almost unaffected by the charging time and the precise values of the charging parameters, provided the quench crosses a quantum phase transition. Finally, we analytically prove that the three-timescale behavior and the strong dependence of the energy stored on the quantum phase diagram also hold in the quantum Ising chain in a transverse field. Our results can play a relevant role in the design of stable solid-state quantum batteries.

中文翻译：

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控制可积自旋量子电池中的储能交叉量子相变


我们研究了一维二聚化 XY 链作为自旋量子电池的性能。这种可积模型显示了一个丰富的量子相图，该图是通过自旋映射到辅助费米子自由度而出现的。我们考虑一种依赖于内部参数（即二聚化强度）的双重淬火的充电协议，并解决系统中存储的能量。根据表征充电持续时间的时间尺度，我们观察到三种不同的状态：与单个二聚体动力学相关的短时状态，与系统在有限大小下的重现时间相关的长时间状态，以及热力学极限时间状态。在后者中，如果猝灭跨越量子相变，则存储的能量几乎不受充电时间和充电参数的精确值的影响。最后，我们分析证明，三时间尺度行为和存储在量子相图上的能量的强烈依赖性在横向场的量子 Ising 链中也成立。我们的结果可以在稳定的固态量子电池的设计中发挥相关作用。