Zhou Longwen
College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China.
Key Laboratory of Optics and Optoelectronics, Qingdao 266100, China.
Entropy (Basel). 2024 Mar 20;26(3):272. doi: 10.3390/e26030272.
The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement transitions in non-Hermitian topological superconductors. In prototypical Kitaev chains with onsite particle losses and varying hopping and pairing ranges, the bipartite entanglement entropy of steady states is found to scale logarithmically versus the system size in topologically nontrivial phases and become independent of the system size in the trivial phase. Notably, the scaling coefficients of log-law entangled phases are distinguishable when the underlying system resides in different topological phases. Log-law to log-law and log-law to area-law entanglement phase transitions are further identified when the system switches between different topological phases and goes from a topologically nontrivial to a trivial phase, respectively. These findings not only establish the relationships among spectral, topological and entanglement properties in a class of non-Hermitian topological superconductors but also provide an efficient means to dynamically reveal their distinctive topological features.
幺正演化与投影测量之间复杂的相互作用，可能在量子多粒子系统的非平衡动力学中诱发纠缠相变。在这项工作中，我们揭示了非厄米拓扑超导体中由损耗诱导的纠缠转变。在具有在位粒子损耗以及变化的跳跃和配对范围的典型基塔耶夫链中，发现在拓扑非平凡相中稳态的二分纠缠熵随系统尺寸呈对数缩放，而在平凡相中则与系统尺寸无关。值得注意的是，当基础系统处于不同拓扑相时，对数律纠缠相的缩放系数是可区分的。当系统在不同拓扑相之间切换以及分别从拓扑非平凡相转变为平凡相时，进一步确定了对数律到对数律以及对数律到面积律的纠缠相变。这些发现不仅建立了一类非厄米拓扑超导体中谱、拓扑和纠缠性质之间的关系，还提供了一种动态揭示其独特拓扑特征的有效方法。
