Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
复制标题
周期性驱动的强相互作用量子多体系统中的加热速率
DOI：
10.1103/physrevlett.123.240603
复制
发表时间：
2019
影响因子：
8.6
通讯作者：
Rigol, Marcos
中科院分区：
文献类型：
--
作者：
Mallayya, Krishnanand;Rigol, Marcos
我们在热力学极限下研究了强相互作用量子晶格系统的升温速率。利用数值链接簇展开，计算了能量作为驱动时间的函数，并找到了一个鲁棒的指数区。加热速率与费米黄金法则非常吻合。在本征态热化假设下，我们讨论了在静态哈密顿算子的本征基中驱动算子的非对角矩阵元素的光滑函数与加热速率之间的关系。我们证明了这样一个函数，在不可积和（显著）可积的哈密顿量中，可以通过研究加热速率作为驱动频率的函数来实验探索。
We study heating rates in strongly interacting quantum lattice systems in the thermodynamic limit. Using a numerical linked cluster expansion, we calculate the energy as a function of the driving time and find a robust exponential regime. The heating rates are shown to be in excellent agreement with Fermi’s golden rule. We discuss the relationship between heating rates and, within the eigenstate thermalization hypothesis, the smooth function that characterizes the off-diagonal matrix elements of the drive operator in the eigenbasis of the static Hamiltonian. We show that such a function, in nonintegrable and (remarkably) integrable Hamiltonians, can be probed experimentally by studying heating rates as functions of the drive frequency.