Matrix product operator approach to nonequilibrium Floquet steady states
Matrix product operator approach to nonequilibrium Floquet steady states
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DOI：
10.1103/physrevb.106.l220307
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发表时间：
2022-06
影响因子：
3.7
通讯作者：
Zihan Cheng;A. Potter
中科院分区：
文献类型：
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作者：
Zihan Cheng;A. Potter
我们提出了一种数值方法来模拟非平衡Floquet稳态的一维磁驱动（Floquet）多体系统耦合到一个耗散浴，称为开放系统Floquet DMRG（OFDMRG）。该方法基于频率空间中Floquet密度矩阵的矩阵乘积算子，并且能够访问超出精确主方程或量子轨迹模拟范围的大型系统，同时保留有关Floquet稳态中周期性微运动的信息。这种技术的激发态扩展也允许计算的动态方法的稳定状态上的渐近长的时间尺度。我们基准OFDMRG方法与驱动耗散伊辛模型，并将其应用于研究耗散稳定的可能性，通过耦合到一个冷浴前热离散时间结晶秩序。
We present a numerical method to simulate non-equilibrium Floquet steady states of one-dimensional periodically-driven (Floquet) many-body systems coupled to a dissipative bath, called open-system Floquet DMRG (OFDMRG). This method is based on a matrix product operator ansatz for the Floquet density matrix in frequency-space, and enables access to large systems beyond the reach of exact master-equation or quantum trajectory simulations, while retaining information about the periodic micro-motion in Floquet steady states. An excited-state extension of this technique also allows computation of the dynamical approach to the steady state on asymptotically long timescales. We benchmark the OFDMRG approach with a driven-dissipative Ising model, and apply it to study the possibility of dissipatively stabilizing pre-thermal discrete time-crystalline order by coupling to a cold bath.