耗散强关联量子系统中的可调记忆效应
Tunable Memory Effect in Dissipative Strongly Correlated Quantum Systems
AI总结：
本文针对受非马尔可夫耗散的强关联量子多体系统，构建通用理论框架揭示其短时间t^(2η)标度等普适动力学规律，并提出用超冷原子实现可调记忆时间非马尔可夫浴的方案，预测可在实验中验证。
AI中文摘要：
受非马尔可夫耗散作用的强相互作用量子多体系统，因强关联效应与记忆效应的相互耦合构成了巨大挑战。在本文中，我们构建了一套通用理论框架，用于计算系统可观测量对耗散的响应，该框架可捕捉短时间尺度下的记忆效应，并在长时间尺度下回归马尔可夫极限。利用此框架，我们预测对于具有临界指数η的强关联量子临界态，系统可观测量的短时间动力学始终遵循t^(2η)标度律，这是强关联与记忆效应相互耦合产生的普适结果，与系统的微观哈密顿量无关。我们进一步揭示该标度律在记忆时间尺度之外会出现交叉行为，变为t^(2η-1)或线性于t的行为。我们提出了一种利用超冷原子实现具有可调记忆时间的非马尔可夫浴的具体物理方案，当前实验可直接验证我们的预测。
英文摘要：
Strongly interacting quantum many-body systems subjected to non-Markovian dissipation pose a formidable challenge due to the interplay between strong correlation effects and memory effects. In this Letter, we develop a general theoretical framework to compute how a system observable responds to dissipation, which captures memory effects at short times and recovers the Markovian limit at longer times. Using this framework, we predict that, for a strongly correlated quantum critical state with critical exponent $η$, the short-time dynamics of a system observable always obeys a $t^{2η}$ scaling law. This emerges as a universal result from the interplay between strong correlation and memory effects, independent of the microscopic Hamiltonian of the system. We further reveal a crossover behavior of this scaling law to either $t^{2η-1}$ or linear-in-$t$ behavior beyond the memory time scale. We propose a concrete physical realization of a non-Markovian bath with tunable memory time using ultracold atoms, where our predictions can be straightforwardly verified in current experiments.
