论文标题
特殊量子淬灭之后纠缠的动力学
Dynamics of entanglement after exceptional quantum quench
论文作者
论文摘要
我们研究了从临界点到特殊点的量子淬灭。在关键的Hermitian系统的基础状态下制备的初始状态是通过非热式SSH模型演变而来的，并调整了其特殊点。单个粒子密度矩阵表现出超音速模式和多个光锥，其特征在于非铁元时间的演化。这些以原始费米速度的整数倍数传播。从长期以来的限制中，Fermionic Green的功能在空间上衰减为$ 1/x^2 $，与通常的$ 1/x $ notacting Fermions形成鲜明对比。纠缠熵被理解为所有这些超音速模式都来自独立的准粒子（尽管没有）以相应的超音速光锥速度传播。熵的生产率随时间降低，并在时间演化期间发展出高原，这表明非本地量子相关性传播中的不同速度。在后期，纠缠熵饱和到有限的价值，满足了卷定律。
We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The single particle density matrix exhibits supersonic modes and multiple light cones, characteristic to non-hermitian time evolution. These propagate with integer multiples of the original Fermi velocity. In the long time limit, the fermionic Green's function decays spatially as $1/x^2$, in sharp contrast to the usual $1/x$ decay of non-interacting fermions. The entanglement entropy is understood as if all these supersonic modes arise from independent quasiparticles (though they do not), traveling with the corresponding supersonic light cone velocity. The entropy production rate decreases with time and develops plateaus during the time evolution, signaling the distinct velocities in the propagation of non-local quantum correlations. At late times, the entanglement entropy saturates to a finite value, satisfying a volume law.
