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(Seminar) Mixed State Entanglement and Thermal Phase Transitions
10/15
2020
- Title (Seminar) Mixed State Entanglement and Thermal Phase Transitions
- Speaker
- Date
- Venue
Abstract
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CAS Key Laboratory of Theoretical Physics | ||
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Institute of Theoretical Physics | ||
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Chinese Academy of Sciences | ||
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Seminar | ||
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Title 题目 |
Mixed State Entanglement and Thermal Phase Transitions | |
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Speaker 报告人 |
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Affiliation 所在单位 |
Jinan University (暨南大学) | |
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Date 日期 |
October 15th (Thursday), 2020, 10:00-11:00 a.m. | |
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Venue 地点 |
腾讯会议ID:585112012 (投影 Conference Room 6420） | |
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Contact Person 所内联系人 |
李理 | |
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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. | |