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(Seminar) Mixed State Entanglement and Thermal Phase Transitions
2020-10-15  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

 Seminar

Title

题目

Mixed State Entanglement and Thermal Phase Transitions

Speaker

报告人

Peng Liu (刘鹏)

Affiliation

所在单位

Jinan University (暨南大学)

Date

日期

October 15th (Thursday), 2020, 10:00-11:00 a.m.

Venue

地点

腾讯会议ID:585112012

(投影 Conference Room 6420)

Contact Person

所内联系人

李理

Abstract

摘要

We study the relationship between mixed state entanglement and thermal phase transitions. As a typical example, we compute the holographic entanglement entropy (HEE), holographic mutual information (MI) and the holographic entanglement of purification (EoP) over the superconductivity phase transition. We find that HEE, MI and EoP can all diagnose the superconducting phase transition. They are continuous at the critical point, but their first derivative with respect to temperature is discontinuous. MI decreases with increasing temperature and exhibits a convex behavior, while HEE increases with increasing temperature and exhibits a concave behavior. However, EoP can exhibit either the same or the opposite behavior as MI, depending on the size of the specific configuration. These results show that EoP captures more abundant information than HEE and MI. We also provide a new algorithm to compute the EoP for general configurations.
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