Physics Department, National Chung-Hsing University, Taichung, 40227, Taiwan.
J Phys Condens Matter. 2013 Jul 17;25(28):285601. doi: 10.1088/0953-8984/25/28/285601. Epub 2013 Jun 19.
We investigate the quench dynamics of the one-particle entanglement spectra (OPES) for systems with topologically nontrivial phases. By using dimerized chains as an example, it is demonstrated that the evolution of OPES for the quenched bipartite systems is governed by an effective Hamiltonian which is characterized by a pseudospin in a time-dependent pseudomagnetic field S(k,t). The existence and evolution of the topological maximally entangled states (tMESs) are determined by the winding number of S(k,t) in the k-space. In particular, the tMESs survive only if nontrivial Berry phases are induced by the winding of S(k,t). In the infinite-time limit the equilibrium OPES can be determined by an effective time-independent pseudomagnetic field Seff(k). Furthermore, when tMESs are unstable, they are destroyed by quasiparticles within a characteristic timescale in proportion to the system size.
我们研究了拓扑非平凡相系统中单粒子纠缠能谱（OPES）的猝灭动力学。通过以二聚化链为例，证明了被猝灭的双体系统的 OPES 的演化由有效哈密顿量控制，该有效哈密顿量的特征是在时变赝磁场 S(k,t)中的赝自旋。拓扑最大纠缠态（tMESs）的存在和演化由 k 空间中 S(k,t)的扭度决定。特别是，如果 S(k,t)的扭度引起非平凡的 Berry 相位，则 tMESs 仅会存在。在无限时间极限下，平衡 OPES 可以由有效且时不变的赝磁场 Seff(k)确定。此外，当 tMESs 不稳定时，它们会在与系统大小成比例的特征时间尺度内被准粒子破坏。
