Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
复制标题
Thue-Morse 准周期随机驱动量子多体系统加热速率的严格界限
DOI：
10.1103/physrevlett.127.050602
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发表时间：
2021
影响因子：
8.6
通讯作者：
Moessner Roderich
中科院分区：
文献类型：
--
作者：
Mori Takashi;Zhao Hongzheng;Mintert Florian;Knolle Johannes;Moessner Roderich
闭合多体系统的非平衡量子动力学是一个内容丰富但极具挑战性的领域。尽管周期驱动(Floquet)系统的最新进展已经产生了一些严格的结果，但我们对快速变化的非周期和准周期驱动的量子多体系统的理解仍然有限。在这里，我们导出了量子多体系统在Thue-Morse准周期驱动和随机多极驱动下的严格的、非微扰的加热率界限，后者是前者的可调随机化变体。在这个过程中，我们得到了一个静态的有效哈密顿量，该哈密顿量描述了包括局域可观测量动力学在内的暂态预热状态。我们对Thue-Morse准周期驱动的界限表明，加热时间的标度类似于一个正常数和典型的哈密顿能量标度，这与我们的数值模拟是一致的。
The nonequilibrium quantum dynamics of closed many-body systems is a rich yet challenging field. While recent progress for periodically driven (Floquet) systems has yielded a number of rigorous results, our understanding on quantum many-body systems driven by rapidly varying but aperiodic and quasiperiodic driving is still limited. Here, we derive rigorous, nonperturbative, bounds on the heating rate in quantum many-body systems under Thue-Morse quasiperiodic driving and under random multipolar driving, the latter being a tunably randomized variant of the former. In the process, we derive a static effective Hamiltonian that describes the transient prethermal state, including the dynamics of local observables. Our bound for Thue-Morse quasiperiodic driving suggests that the heating time scales likewith a positive constantand a typical energy scaleof the Hamiltonian, in agreement with our numerical simulations.