Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time survival probability and mean square displacement of the wave p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ab64b2 |
| _version_ | 1827873084579774464 |
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| author | Zhihao Xu Hongli Huangfu Yunbo Zhang Shu Chen |
| author_facet | Zhihao Xu Hongli Huangfu Yunbo Zhang Shu Chen |
| author_sort | Zhihao Xu |
| collection | DOAJ |
| description | We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time survival probability and mean square displacement of the wave packet in the regime with the mobility edge and compare with the cases in extended, localized and multifractal regimes. Our numerical results indicate that the dynamics in the mobility-edge regime mix both extended and localized features which is quite different from that in the mulitfractal phase. We utilize the Loschmidt echo dynamics by choosing different eigenstates as initial states and sudden changing the parameters of the system to distinguish the phases in the presence of such system. |
| first_indexed | 2024-03-12T16:32:31Z |
| format | Article |
| id | doaj.art-821e8bd0bc9f470b83a3c3a283a993b5 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:31Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-821e8bd0bc9f470b83a3c3a283a993b52023-08-08T15:26:18ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122101303610.1088/1367-2630/ab64b2Dynamical observation of mobility edges in one-dimensional incommensurate optical latticesZhihao Xu0https://orcid.org/0000-0002-0252-9296Hongli Huangfu1Yunbo Zhang2Shu Chen3Institute of Theoretical Physics, Shanxi University , Taiyuan 030006, People's Republic of China; Collaborative Innovation Center of Extreme Optics, Shanxi University , Taiyuan 030006, People's Republic of China; State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University , Taiyuan 030006, People's Republic of ChinaInstitute of Theoretical Physics, Shanxi University , Taiyuan 030006, People's Republic of ChinaInstitute of Theoretical Physics, Shanxi University , Taiyuan 030006, People's Republic of ChinaBeijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China; School of Physical Sciences, University of Chinese Academy of Sciences , Beijing, 100049, People's Republic of China; Yangtze River Delta Physics Research Center, Liyang, Jiangsu 213300, People's Republic of ChinaWe investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time survival probability and mean square displacement of the wave packet in the regime with the mobility edge and compare with the cases in extended, localized and multifractal regimes. Our numerical results indicate that the dynamics in the mobility-edge regime mix both extended and localized features which is quite different from that in the mulitfractal phase. We utilize the Loschmidt echo dynamics by choosing different eigenstates as initial states and sudden changing the parameters of the system to distinguish the phases in the presence of such system.https://doi.org/10.1088/1367-2630/ab64b2disordermobility edgedynamical evolution |
| spellingShingle | Zhihao Xu Hongli Huangfu Yunbo Zhang Shu Chen Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices New Journal of Physics disorder mobility edge dynamical evolution |
| title | Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices |
| title_full | Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices |
| title_fullStr | Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices |
| title_full_unstemmed | Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices |
| title_short | Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices |
| title_sort | dynamical observation of mobility edges in one dimensional incommensurate optical lattices |
| topic | disorder mobility edge dynamical evolution |
| url | https://doi.org/10.1088/1367-2630/ab64b2 |
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