弗洛凯工程多体序的耗散稳定化
Dissipative Stabilization of Floquet-Engineered Many-Body Order
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中文总结 AI 辅助
研究弗洛凯驱动下多体序的稳定化问题，利用静态耦合耗散辅助系统冷却系统到低能态，通过数值方法在伊辛链中证实稳健冷却及离散时间晶体序，为驱动耗散系统稳态提供解析处理方法。
中文摘要 AI 辅助
弗洛凯驱动是哈密顿量和门工程的基础，并产生没有平衡对应物的动力学序。然而，这些现象在隔离良好的系统中是瞬态的。我们表明，静态耦合的耗散辅助系统将系统冷却到弗洛凯工程哈密顿量的低能态，在稳态下稳定序。在高驱动频率和弱耦合下，多余的能量密度可控地小，并由基于费米黄金规则的速率理论捕获。我们通过数值方法证实了弗洛凯工程横向场伊辛链在两个相中都有稳健的冷却，并在长程伊辛链的稳态中展示了离散时间晶体序，其磁化响应周期加倍。我们的结果为驱动耗散系统的稳态提供了罕见的解析处理方法。
英文摘要
Floquet driving underlies Hamiltonian and gate engineering, and produces dynamical orders with no equilibrium counterpart. These phenomena are, however, transient in well-isolated systems. We show that statically coupled dissipative auxiliaries cool the system toward low-energy states of the Floquet-engineered Hamiltonian, stabilizing orders in the steady state. The excess energy density is controllably small at high drive frequency and weak coupling and is captured by rate theory based on Fermi's Golden Rule. We numerically confirm robust cooling in a Floquet-engineered transverse-field Ising chain in both phases, and demonstrate discrete time-crystalline order, with a period-doubled magnetization response, in the steady state of a long-range Ising chain. Our results provide a rare analytical handle on the steady states of driven dissipative systems.
