混沌Floquet量子电池中的最优性能
Optimal performance in a chaotic Floquet quantum battery
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中文总结 AI 辅助
研究通过无序和周期踢动充电的量子比特电池，发现大无序下混沌充电使存储能量最大且涨落极小，存储阶段退相干下可提取功接近存储能量，效率近一。
中文摘要 AI 辅助
我们研究了一个由N个量子比特组成、彼此均匀相互作用的量子电池。从基态出发，通过在横向方向引入周期性踢动并在相互作用方向加入无序来对电池进行充电。尽管电池哈密顿量连同初始态保持置换对称性，但在充电阶段存在无序的情况下，动力学使系统脱离置换对称子空间，与无无序情况相比，导致存储能量更大。在大无序极限下，这种相互作用带来了混沌充电阶段的可能性，此时存储能量可以使用随机矩阵理论精确计算。更重要的是，我们还发现，在大无序极限下，能量涨落减小并变得可忽略，这也正是存储能量达到最大的时候，这一条件对于电池的最佳运行非常理想。我们通过考虑存在退相干噪声的存储阶段来完成电池循环。我们发现，对于更大的无序强度，ergotropy（可提取功）仍接近存储能量，表明能量几乎完全可提取，效率接近一。
英文摘要
We study a quantum battery consisting of $N$ qubits interacting uniformly with each other. Starting from its ground state, the battery is charged by introducing periodic kicks in the transverse direction along with adding disorder in the interaction direction. Although the battery Hamiltonian along with the initial state preserves the permutation symmetry, the dynamics in presence of disorder during the charging phase takes the system out of the permutation symmetric subspace, resulting to a larger amount of stored energy as compared to that without disorder. In the limit of large disorder, this interplay brings in a possibility of a chaotic charging phase when stored energy can be exactly calculated using random matrix theory. More importantly, we also find that the energy fluctuations decrease and become negligible in the limit of large disorder, which is also when the energy stored is maximum, a condition highly desirable for the optimum functioning of the battery. We complete the battery cycle by considering the storage phase in the presence of dephasing noise. We find that for larger disorder strengths, the ergotropy remains close to the stored energy, indicating nearly complete energy extractability with an efficiency approaching unity.
发表机构
- Indian Institute of Technology Palakkad（印度理工学院帕拉卡德分校）
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