Quantum Entanglement of Non-Hermitian Quasicrystals
- URL: http://arxiv.org/abs/2112.13411v2
- Date: Mon, 21 Mar 2022 08:23:50 GMT
- Title: Quantum Entanglement of Non-Hermitian Quasicrystals
- Authors: Li-Mei Chen, Yao Zhou, Shuai A. Chen, Peng Ye
- Abstract summary: We present a class of experimentally realizable models for non-Hermitian quasicrystal chains.
We numerically determine the metal-insulator transition point.
Inspired by entanglement spectrum, we further analytically prove that a duality exists between the two phase regions.
- Score: 7.371841894852217
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: As a hallmark of pure quantum effect, quantum entanglement has provided
unconventional routes to condensed matter systems. Here, from the perspective
of quantum entanglement, we disclose exotic quantum physics in non-Hermitian
quasicrystals. We present a class of experimentally realizable models for
non-Hermitian quasicrystal chains, in which asymmetric hopping and complex
potential coexist. We diagnose global phase diagram by means of entanglement
from both real-space and momentum-space partition. By measuring entanglement
entropy, we numerically determine the metal-insulator transition point. We
combine real-space and momentum-space entanglement spectra to complementarily
characterize the delocalization phase and the localization phase. Inspired by
entanglement spectrum, we further analytically prove that a duality exists
between the two phase regions. The transition point is self-dual and exact,
further validating the numerical result from diagonalizing non-Hermitian
matrices. Finally, we identify mobility edge by means of entanglement.
Related papers
Err
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.