论文标题
足够的无间隙旋转螺旋式Lindbladians及其连接到耗散时间晶体的条件
Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
论文作者
论文摘要
我们讨论了在Lindbladian Master方程中用于集体自旋 - 玻色子系统和排序不变的系统中无间隙激发的足够条件。该条件将稳态中的非零宏观累积相关性与林金元中的无间隙模式的存在有关。在由竞争相干和耗散性的林金（Lindbladian）术语引起的阶段中，我们认为，与角动量保护相关的这种无间隙模式可以导致自旋观察物中的持续动力学，并可能形成耗散时间晶体。我们从这个角度研究了不同的模型，从拥有Hermitian跳跃操作员的Lindbladians到由集体旋转和Floquet Spin-Boson Systems组成的非热门模型。我们还提供了一个简单的分析证明，以基于累积扩展，在此类系统中平均场半经验的精确性。
We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems and permutationally invariant systems. The condition relates a nonzero macroscopic cumulant correlation in the steady state to the presence of gapless modes in the Lindbladian. In phases arising from competing coherent and dissipative Lindbladian terms, we argue that such gapless modes, concomitant with angular momentum conservation, can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals. We study different models within this perspective, from Lindbladians with Hermitian jump operators, to non-Hermitian ones composed by collective spins and Floquet spin-boson systems. We also provide a simple analytical proof for the exactness of mean-field semiclassical approach in such systems based on a cumulant expansion.
