Critical Scaling Behaviors of Entanglement Spectra
Abstract
We investigate the evolution of entanglement spectra under a global quantum quench from a shortrange correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra demonstrate distinct finitesize scaling behaviors from the static case. As a prototypical example, we compute realtime dynamics of the entanglement spectra of a onedimensional transversefield Ising chain. Numerical simulation confirms that the entanglement spectra scale with the subsystem size l as ̃l^{−1} for the dynamical equilibrium state, much faster than ∝ 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 operatorstate correspondence in the quantum dynamics.
 Publication:

Chinese Physics Letters
 Pub Date:
 January 2020
 DOI:
 10.1088/0256307X/37/1/010301
 arXiv:
 arXiv:1911.03125
 Bibcode:
 2020ChPhL..37a0301T
 Keywords:

 03.65.Ud;
 11.25.Hf;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory
 EPrint:
 Chin. Phys. Lett. 2020, 37 (1): 010301