Spatiotemporal evolution of topological order upon quantum quench across the critical point
We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/6/063004 |
| _version_ | 1797750993295769600 |
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| author | Minchul Lee Seungju Han Mahn-Soo Choi |
| author_facet | Minchul Lee Seungju Han Mahn-Soo Choi |
| author_sort | Minchul Lee |
| collection | DOAJ |
| description | We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order. |
| first_indexed | 2024-03-12T16:40:55Z |
| format | Article |
| id | doaj.art-ddba1d5bdc9c441ba730d2e4ee2a74a1 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:55Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ddba1d5bdc9c441ba730d2e4ee2a74a12023-08-08T14:31:43ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118606300410.1088/1367-2630/18/6/063004Spatiotemporal evolution of topological order upon quantum quench across the critical pointMinchul Lee0Seungju Han1Mahn-Soo Choi2https://orcid.org/0000-0001-6901-5233Department of Applied Physics and Institute of Natural Science, College of Applied Science, Kyung Hee University , Yongin 17104, KoreaDepartment of Physics, Korea University , Seoul 02841, KoreaDepartment of Physics, Korea University , Seoul 02841, KoreaWe consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order.https://doi.org/10.1088/1367-2630/18/6/063004topological superconductorMajorana Fermionstring order parametertopological orderquantum quenchingtopological phase transition |
| spellingShingle | Minchul Lee Seungju Han Mahn-Soo Choi Spatiotemporal evolution of topological order upon quantum quench across the critical point New Journal of Physics topological superconductor Majorana Fermion string order parameter topological order quantum quenching topological phase transition |
| title | Spatiotemporal evolution of topological order upon quantum quench across the critical point |
| title_full | Spatiotemporal evolution of topological order upon quantum quench across the critical point |
| title_fullStr | Spatiotemporal evolution of topological order upon quantum quench across the critical point |
| title_full_unstemmed | Spatiotemporal evolution of topological order upon quantum quench across the critical point |
| title_short | Spatiotemporal evolution of topological order upon quantum quench across the critical point |
| title_sort | spatiotemporal evolution of topological order upon quantum quench across the critical point |
| topic | topological superconductor Majorana Fermion string order parameter topological order quantum quenching topological phase transition |
| url | https://doi.org/10.1088/1367-2630/18/6/063004 |
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