Evolution of entanglement wedge cross section following a global quench
Abstract We study the evolution of entanglement wedge cross section (EWCS) in the Vaidya geometry describing a thin shell of null matter collapsing into the AdS vacuum to form a black brane. In the holographic context, it is proposed that this quantity is dual to different information measures inclu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)129 |
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| author | Komeil Babaei Velni M. Reza Mohammadi Mozaffar M.H. Vahidinia |
| author_facet | Komeil Babaei Velni M. Reza Mohammadi Mozaffar M.H. Vahidinia |
| author_sort | Komeil Babaei Velni |
| collection | DOAJ |
| description | Abstract We study the evolution of entanglement wedge cross section (EWCS) in the Vaidya geometry describing a thin shell of null matter collapsing into the AdS vacuum to form a black brane. In the holographic context, it is proposed that this quantity is dual to different information measures including entanglement of purification, reflected entropy, odd entropy and logarithmic negativity. In 2 + 1 dimensions, we present a combination of numerical and analytic results on the evolution and scaling of EWCS for strip shaped boundary subregions after a thermal quench. In the limit of large subregions, we find that the time evolution of EWCS is characterized by three different scaling regimes: an early time quadratic growth, an intermediate linear growth and a late time saturation. Further, in 3 + 1 dimensions, we examine the scaling behavior by considering thermal and electromagnetic quenches. In the case of a thermal quench, our numerical analysis supply results similar to observations made for the lower dimension. On the other hand, for electromagnetic quenches at zero temperature, an interesting feature is a departure from the linear behavior of the evolution to logarithmic growth. |
| first_indexed | 2024-12-11T05:21:00Z |
| format | Article |
| id | doaj.art-11dc230fe28c42aeba2d251a8ccbdadc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T05:21:00Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-11dc230fe28c42aeba2d251a8ccbdadc2022-12-22T01:19:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020813510.1007/JHEP08(2020)129Evolution of entanglement wedge cross section following a global quenchKomeil Babaei Velni0M. Reza Mohammadi Mozaffar1M.H. Vahidinia2Department of Physics, University of GuilanDepartment of Physics, University of GuilanSchool of Physics, Institute for Research in Fundamental Sciences (IPM)Abstract We study the evolution of entanglement wedge cross section (EWCS) in the Vaidya geometry describing a thin shell of null matter collapsing into the AdS vacuum to form a black brane. In the holographic context, it is proposed that this quantity is dual to different information measures including entanglement of purification, reflected entropy, odd entropy and logarithmic negativity. In 2 + 1 dimensions, we present a combination of numerical and analytic results on the evolution and scaling of EWCS for strip shaped boundary subregions after a thermal quench. In the limit of large subregions, we find that the time evolution of EWCS is characterized by three different scaling regimes: an early time quadratic growth, an intermediate linear growth and a late time saturation. Further, in 3 + 1 dimensions, we examine the scaling behavior by considering thermal and electromagnetic quenches. In the case of a thermal quench, our numerical analysis supply results similar to observations made for the lower dimension. On the other hand, for electromagnetic quenches at zero temperature, an interesting feature is a departure from the linear behavior of the evolution to logarithmic growth.http://link.springer.com/article/10.1007/JHEP08(2020)129AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Komeil Babaei Velni M. Reza Mohammadi Mozaffar M.H. Vahidinia Evolution of entanglement wedge cross section following a global quench Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Evolution of entanglement wedge cross section following a global quench |
| title_full | Evolution of entanglement wedge cross section following a global quench |
| title_fullStr | Evolution of entanglement wedge cross section following a global quench |
| title_full_unstemmed | Evolution of entanglement wedge cross section following a global quench |
| title_short | Evolution of entanglement wedge cross section following a global quench |
| title_sort | evolution of entanglement wedge cross section following a global quench |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)129 |
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