Grazi Riccardo, Sacco Shaikh Daniel, Sassetti Maura, Traverso Ziani Niccoló, Ferraro Dario
Dipartimento di Fisica, <a href="https://ror.org/0107c5v14">Università di Genova</a>, Via Dodecaneso 33, 16146 Genova, Italy.
<a href="https://ror.org/00p03yg71">CNR-SPIN</a>, Via Dodecaneso 33, 16146 Genova, Italy.
Phys Rev Lett. 2024 Nov 8;133(19):197001. doi: 10.1103/PhysRevLett.133.197001.
We investigate the performance of a one-dimensional dimerized XY 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.
我们研究了作为自旋量子电池的一维二聚化XY链的性能。这种可积模型展现出丰富的量子相图，该相图通过将自旋映射到辅助费米子自由度而出现。我们考虑一种依赖于内部参数（即二聚化强度）双猝灭的充电协议，并探讨系统中存储的能量。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 regime：与单个二聚体动力学相关的短时间 regime、与有限尺寸系统的重现时间相关的长时间 regime以及热力学极限时间 regime。在后者中，只要猝灭跨越量子相变，存储的能量几乎不受充电时间和充电参数精确值的影响。最后，我们通过分析证明，三次时间尺度行为以及存储能量对量子相图的强烈依赖性在横向场中的量子伊辛链中也成立。我们的结果在稳定固态量子电池的设计中可以发挥重要作用。
