论文标题
对称对称性的Quasiparticle动力学在淬灭之后解决纠缠：共形场理论和自由费米子的例子
Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
论文作者
论文摘要
纠缠熵的时间演变是了解非平衡量子状态的结构的关键概念。在大量模型中，可以通过半经典的形象来理解这种进化，即移动清单在整个系统中传播纠缠。但是，尚不清楚纠缠如何在量子多体系统的内部局部对称性扇区之间分裂。在这里，在共形场理论和自由屈服链的例子的指导下，我们证明了准粒子图片可以适应这个目标，从而导致了带电的熵的一般猜想，其傅立叶变换赋予所需的对称性解析纠缠$ s_n（q）$。我们指出了两个与物理相关的效果，应在原子实验中很容易观察到：$ s_n（q）$发作的延迟时间与$ |ΔQ| $线性增长（与电荷$ q $及其平均值的差异），以及在$ |ΔQ| $远小于子系统大小时的有效设备。
The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving quasiparticles spreading the entanglement throughout the system. However, it is not yet known how the entanglement splits between the sectors of an internal local symmetry of a quantum many-body system. Here, guided by the examples of conformal field theories and free-fermion chains, we show that the quasiparticle picture can be adapted to this goal, leading to a general conjecture for the charged entropies whose Fourier transform gives the desired symmetry resolved entanglement $S_n(q)$. We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of $S_n(q)$ which grows linearly with $|Δq|$ (the difference from the charge $q$ and its mean value), and an effective equipartition when $|Δq|$ is much smaller than the subsystem size.
