Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance
We study phase imprinting on Bose–Einstein condensates (BECs) with the fast-forward scaling theory revealing a nontrivial scaling property in quantum dynamics. We introduce a wave packet with uniform momentum density (WPUM) which has peculiar properties but is short-lived. The fast-forward scaling t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aaacea |
| _version_ | 1797750662401884160 |
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| author | Shumpei Masuda Katsuhiro Nakamura Mikio Nakahara |
| author_facet | Shumpei Masuda Katsuhiro Nakamura Mikio Nakahara |
| author_sort | Shumpei Masuda |
| collection | DOAJ |
| description | We study phase imprinting on Bose–Einstein condensates (BECs) with the fast-forward scaling theory revealing a nontrivial scaling property in quantum dynamics. We introduce a wave packet with uniform momentum density (WPUM) which has peculiar properties but is short-lived. The fast-forward scaling theory is applied to derive the driving potential for creation of the WPUMs in a predetermined time. Fast manipulation is essential for the creation of WPUMs because of the instability of the state. We also study loading of a BEC into a predetermined Bloch state in the lowest band from the ground state of a periodic potential. Controlled linear potential is not sufficient for creation of the Bloch state with large wavenumber because the change in the amplitude of the order parameter is not negligible. We derive the exact driving potential for creation of predetermined Bloch states using the obtained theory. |
| first_indexed | 2024-03-12T16:36:05Z |
| format | Article |
| id | doaj.art-055918c7f31d43a6a9d5ad6b0a1d6049 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:05Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-055918c7f31d43a6a9d5ad6b0a1d60492023-08-08T14:50:23ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120202500810.1088/1367-2630/aaaceaFast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbanceShumpei Masuda0Katsuhiro Nakamura1Mikio Nakahara2College of Liberal Arts and Sciences, Tokyo Medical and Dental University , Ichikawa, Chiba 272-0827, JapanFaculty of Physics, National University of Uzbekistan , Vuzgorodok, Tashkent 100174, Uzbekistan; Department of Applied Physics, Osaka City University , Sumiyoshi-ku, Osaka 558-8585, JapanDepartment of Mathematics, Shanghai University , 99 Shangda Road, Shanghai 200444, People’s Republic of China; Department of Physics, Kindai University , Higashi-Osaka, 577-8502, JapanWe study phase imprinting on Bose–Einstein condensates (BECs) with the fast-forward scaling theory revealing a nontrivial scaling property in quantum dynamics. We introduce a wave packet with uniform momentum density (WPUM) which has peculiar properties but is short-lived. The fast-forward scaling theory is applied to derive the driving potential for creation of the WPUMs in a predetermined time. Fast manipulation is essential for the creation of WPUMs because of the instability of the state. We also study loading of a BEC into a predetermined Bloch state in the lowest band from the ground state of a periodic potential. Controlled linear potential is not sufficient for creation of the Bloch state with large wavenumber because the change in the amplitude of the order parameter is not negligible. We derive the exact driving potential for creation of predetermined Bloch states using the obtained theory.https://doi.org/10.1088/1367-2630/aaaceacoherent quantum controlfast-forward scaling theoryBose–Einstein condensatesBloch stateshortcuts-to-adiabaticity |
| spellingShingle | Shumpei Masuda Katsuhiro Nakamura Mikio Nakahara Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance New Journal of Physics coherent quantum control fast-forward scaling theory Bose–Einstein condensates Bloch state shortcuts-to-adiabaticity |
| title | Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance |
| title_full | Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance |
| title_fullStr | Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance |
| title_full_unstemmed | Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance |
| title_short | Fast-forward scaling theory for phase imprinting on a BEC: creation of a wave packet with uniform momentum density and loading to Bloch states without disturbance |
| title_sort | fast forward scaling theory for phase imprinting on a bec creation of a wave packet with uniform momentum density and loading to bloch states without disturbance |
| topic | coherent quantum control fast-forward scaling theory Bose–Einstein condensates Bloch state shortcuts-to-adiabaticity |
| url | https://doi.org/10.1088/1367-2630/aaacea |
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