论文标题

批判性记忆的动态构建,对声子修饰的Majorana fermions

Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions

论文作者

Kästle, Oliver, Hu, Ying, Carmele, Alexander

论文摘要

我们研究了物质拓扑状态与非马克维亚耗散之间的动态相互作用,这由于其量子记忆而引起了系统动力学的新的至关重要的时间尺度。我们专门研究了一个具有声子穿衣$ p $ - 波配对的一维二极化拓扑超导体,当周围的声子的快速温度升高会诱导开放系统动力学时。我们表明,当记忆深度增加时,即使北极子哈密顿量接近拓扑相边界,Majorana边缘动力学也从单调的放松到倒塌和建造行为的高原转变为崩溃和建造行为。在临界记忆深度之上,该系统可以在动态平衡中与声子接近新的拓扑超导体,并具有几乎完整的Majorana相关性。

We investigate the dynamical interplay between topological state of matter and a non-Markovian dissipation, which gives rise to a new and crucial time scale into the system dynamics due to its quantum memory. We specifically study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing, when a fast temperature increase in surrounding phonons induces an open-system dynamics. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior, even when the polaron Hamiltonian is close to the topological phase boundary. Above a critical memory depth, the system can approach a new dressed state of topological superconductor in dynamical equilibrium with phonons, with nearly full buildup of Majorana correlation.

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