标题： 单点模型中的霍尔斯坦机制与单位演化 显示英文标题

标题： Holstein mechanism in single-site model with unitary evolution

摘要： 我们研究单电子（单点）系统中的Holstein机制，在非绝热条件下，单位演化本质上涉及费米子和玻色子算符。 产生的单位动力学和玻色子频率依赖性揭示了一种量子相变，这由短时间（幂律衰减）和长时间（指数衰减）行为的不同表现所证实，这体现在极化子位移、玻色能量和约化密度矩阵的动力学中。 这一观察结果与非马尔可夫到马尔可夫的转变一致。 显示英文摘要

摘要： We investigate the Holstein mechanism in a single-electron (one-site) system, where unitary evolution intrinsically involves both fermion and boson operators under nonadiabatic conditions. The resulting unitary dynamics and boson-frequency dependence reveal a quantum phase transition, evidenced by distinct short-time (power-law decay) and long-time (exponential decay) behaviors, which are manifested in the polaronic shift, bosonic energy, and dynamics of reduced density matrix. This observation is consistent with a non-Markovian to Markovian transition.