论文标题
储层引起的定期驱动的多体系统的稳定
Reservoir-induced stabilisation of a periodically driven many-body system
论文作者
论文摘要
众所周知，在经典和量子领域中持续加热，众所周知，利用周期性驱动的多体系统的丰富现象学的限制。在这里，我们研究了与大型热储层的耦合在多大程度上使非平凡稳态的稳定。为此，我们将系统和储层都建模为经典的自旋链，该链条通过旋转磁场应用驱动，并模拟该设置的汉密尔顿动力学。我们发现，无限和消失的频率的直观限制，在该系统动力学受平均和瞬时哈密顿量的支配，只能将仅由一个小的交叉区域分离到整个方案中。在高频下，驱动的系统在储层温度下以浮雕型吉布斯状态达到浮动型吉布斯状态。在低频率下，出现了同步的吉布斯状态，其温度可能与储层的温度显着偏离。尽管我们在某些部分中的分析依赖于我们的设置的特定属性，但我们认为它的许多现象学应该对大型系统构成一般性。
Exploiting the rich phenomenology of periodically-driven many-body systems is notoriously hindered by persistent heating in both the classical and quantum realm. Here, we investigate to what extent coupling to a large thermal reservoir makes stabilisation of a non-trivial steady state possible. To this end, we model both the system and the reservoir as classical spin chains where driving is applied through a rotating magnetic field, and simulate the Hamiltonian dynamics of this setup. We find that the intuitive limits of infinite and vanishing frequency, where the system dynamics is governed by the average and the instantaneous Hamiltonian, respectively, can be smoothly extended into entire regimes separated only by a small crossover region. At high frequencies, the driven system stroboscopically attains a Floquet-type Gibbs state at the reservoir temperature. At low frequencies, a synchronised Gibbs state emerges, whose temperature may depart significantly from that of the reservoir. Although our analysis in some parts relies on the specific properties our setup, we argue that much of its phenomenology should be generic for a large class of systems.
