Critical Scaling Behaviors of Entanglement Spectra
Qi-Cheng Tang1,2 , Wei Zhu1,2**
1 School of Science, Westlake University, Hangzhou 3100242 Institute of Natural Sciences, Westlake Institute of Advanced Study, Hangzhou 310024
Abstract ：We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra demonstrate distinct finite-size scaling behaviors from the static case. As a prototypical example, we compute real-time dynamics of the entanglement spectra of a one-dimensional transverse-field Ising chain. Numerical simulation confirms that the entanglement spectra scale with the subsystem size $l$ as $\sim$$l^{-1}$ for the dynamical equilibrium state, much faster than $\propto$ $\ln^{-1} l$ for the critical ground state. In particular, as a byproduct, the entanglement spectra at the long time limit faithfully gives universal tower structure of underlying Ising criticality, which shows the emergence of operator-state correspondence in the quantum dynamics.
收稿日期: 2019-10-25
出版日期: 2019-11-08
:
03.65.Ud
(Entanglement and quantum nonlocality)
11.25.Hf
(Conformal field theory, algebraic structures)
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2020, Vol. 37 
