Quantum control and quantum speed limits in supersymmetric potentials
Supersymmetry allows one to build a hierarchy of Hamiltonians that share the same spectral properties and which are pairwise connected through common super-potentials. The iso-spectral properties of these Hamiltonians imply that the dynamics and therefore control of different eigenstates are connect...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac89a4 |
| _version_ | 1797748396694437888 |
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| author | C Campbell J Li Th Busch T Fogarty |
| author_facet | C Campbell J Li Th Busch T Fogarty |
| author_sort | C Campbell |
| collection | DOAJ |
| description | Supersymmetry allows one to build a hierarchy of Hamiltonians that share the same spectral properties and which are pairwise connected through common super-potentials. The iso-spectral properties of these Hamiltonians imply that the dynamics and therefore control of different eigenstates are connected through supersymmetric intertwining relations. In this work we explore how this enables one to study general dynamics, shortcuts to adiabaticity and quantum speed limits for distinct states of different supersymmetric partner potentials by using the infinite box as an example. |
| first_indexed | 2024-03-12T16:05:07Z |
| format | Article |
| id | doaj.art-f76931084d824769ab11bc7de3667d3a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:07Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f76931084d824769ab11bc7de3667d3a2023-08-09T14:26:23ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124909500110.1088/1367-2630/ac89a4Quantum control and quantum speed limits in supersymmetric potentialsC Campbell0https://orcid.org/0000-0002-5051-0100J Li1https://orcid.org/0000-0002-7565-3933Th Busch2https://orcid.org/0000-0003-0535-2833T Fogarty3https://orcid.org/0000-0003-4940-5861Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanDepartment of Physics, University College Cork , Cork, IrelandQuantum Systems Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanQuantum Systems Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanSupersymmetry allows one to build a hierarchy of Hamiltonians that share the same spectral properties and which are pairwise connected through common super-potentials. The iso-spectral properties of these Hamiltonians imply that the dynamics and therefore control of different eigenstates are connected through supersymmetric intertwining relations. In this work we explore how this enables one to study general dynamics, shortcuts to adiabaticity and quantum speed limits for distinct states of different supersymmetric partner potentials by using the infinite box as an example.https://doi.org/10.1088/1367-2630/ac89a4supersymmetryquantum gasesshortcuts to adiabaticityquantum speed limits |
| spellingShingle | C Campbell J Li Th Busch T Fogarty Quantum control and quantum speed limits in supersymmetric potentials New Journal of Physics supersymmetry quantum gases shortcuts to adiabaticity quantum speed limits |
| title | Quantum control and quantum speed limits in supersymmetric potentials |
| title_full | Quantum control and quantum speed limits in supersymmetric potentials |
| title_fullStr | Quantum control and quantum speed limits in supersymmetric potentials |
| title_full_unstemmed | Quantum control and quantum speed limits in supersymmetric potentials |
| title_short | Quantum control and quantum speed limits in supersymmetric potentials |
| title_sort | quantum control and quantum speed limits in supersymmetric potentials |
| topic | supersymmetry quantum gases shortcuts to adiabaticity quantum speed limits |
| url | https://doi.org/10.1088/1367-2630/ac89a4 |
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