Mixed state entanglement for holographic axion model
We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) exhibit very distinct behaviors with system parameters. The HEE exhibits universal monotonic behavior with syste...
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| Published in | The European physical journal. C, Particles and fields Vol. 80; no. 5; pp. 1 - 12 |
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| Main Authors | , , , , |
| Format | Journal Article |
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01.05.2020
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| Abstract | We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) exhibit very distinct behaviors with system parameters. The HEE exhibits universal monotonic behavior with system parameters, while the behaviors of MI and EoP relate to the specific system parameters and configurations. We find that MI and EoP can characterize mixed state entanglement better than HEE since they are less affected by thermal effects. Specifically, the MI partly cancels out the thermal entropy contribution, while the holographic EoP is not dictated by the thermal entropy in any situation. Moreover, we argue that EoP is more suitable for describing mixed state entanglement than MI. Because the MI of large configurations are still dictated by the thermal entropy, while the EoP will never be controlled only by the thermal effects. |
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| AbstractList | We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) exhibit very distinct behaviors with system parameters. The HEE exhibits universal monotonic behavior with system parameters, while the behaviors of MI and EoP relate to the specific system parameters and configurations. We find that MI and EoP can characterize mixed state entanglement better than HEE since they are less affected by thermal effects. Specifically, the MI partly cancels out the thermal entropy contribution, while the holographic EoP is not dictated by the thermal entropy in any situation. Moreover, we argue that EoP is more suitable for describing mixed state entanglement than MI. Because the MI of large configurations are still dictated by the thermal entropy, while the EoP will never be controlled only by the thermal effects. Abstract We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) exhibit very distinct behaviors with system parameters. The HEE exhibits universal monotonic behavior with system parameters, while the behaviors of MI and EoP relate to the specific system parameters and configurations. We find that MI and EoP can characterize mixed state entanglement better than HEE since they are less affected by thermal effects. Specifically, the MI partly cancels out the thermal entropy contribution, while the holographic EoP is not dictated by the thermal entropy in any situation. Moreover, we argue that EoP is more suitable for describing mixed state entanglement than MI. Because the MI of large configurations are still dictated by the thermal entropy, while the EoP will never be controlled only by the thermal effects. |
| ArticleNumber | 426 |
| Audience | Academic |
| Author | Shi, Zi-jian Liu, Peng Zhang, Cheng-yong Niu, Chao Huang, Yi-fei |
| Author_xml | – sequence: 1 givenname: Yi-fei surname: Huang fullname: Huang, Yi-fei organization: Department of Physics and Siyuan Laboratory, Jinan University – sequence: 2 givenname: Zi-jian surname: Shi fullname: Shi, Zi-jian organization: Department of Physics and Siyuan Laboratory, Jinan University – sequence: 3 givenname: Chao surname: Niu fullname: Niu, Chao organization: Department of Physics and Siyuan Laboratory, Jinan University – sequence: 4 givenname: Cheng-yong surname: Zhang fullname: Zhang, Cheng-yong organization: Department of Physics and Siyuan Laboratory, Jinan University – sequence: 5 givenname: Peng orcidid: 0000-0002-8539-5501 surname: Liu fullname: Liu, Peng email: phylp@jnu.edu.cn organization: Department of Physics and Siyuan Laboratory, Jinan University |
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| Snippet | We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and... Abstract We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI)... |
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| SubjectTerms | Astronomy Astrophysics and Cosmology Configurations Elementary Particles Entanglement Entropy Hadrons Heavy Ions Mathematical models Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Parameters Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics String Theory Temperature effects |
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| Title | Mixed state entanglement for holographic axion model |
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