Generation of atypical hopping and interactions by kinetic driving
We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose–Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, bu...
| 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 |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aad376 |
| _version_ | 1797750632869789696 |
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| author | G Pieplow F Sols C E Creffield |
| author_facet | G Pieplow F Sols C E Creffield |
| author_sort | G Pieplow |
| collection | DOAJ |
| description | We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose–Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, but all even higher-order processes are allowed. Unusual many-body features arise from the combined effect of nonlocal interactions and correlated tunneling. At a critical value of the driving, the system passes from a Mott insulator to a superfluid formed by two quasi-condensates with opposite non-zero momenta. This work shows how driving of the hopping energy provides a novel form of Floquet engineering, which enables atypical Hamiltonians and exotic states of matter to be produced and controlled. |
| first_indexed | 2024-03-12T16:36:34Z |
| format | Article |
| id | doaj.art-928ffe49ed884ef196ac336aece5e545 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:34Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-928ffe49ed884ef196ac336aece5e5452023-08-08T14:51:45ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120707304510.1088/1367-2630/aad376Generation of atypical hopping and interactions by kinetic drivingG Pieplow0https://orcid.org/0000-0001-8133-4704F Sols1C E Creffield2https://orcid.org/0000-0003-1044-9218Departamento de Física de Materiales, Universidad Complutense de Madrid , E-28040 Madrid, SpainDepartamento de Física de Materiales, Universidad Complutense de Madrid , E-28040 Madrid, SpainDepartamento de Física de Materiales, Universidad Complutense de Madrid , E-28040 Madrid, SpainWe study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose–Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, but all even higher-order processes are allowed. Unusual many-body features arise from the combined effect of nonlocal interactions and correlated tunneling. At a critical value of the driving, the system passes from a Mott insulator to a superfluid formed by two quasi-condensates with opposite non-zero momenta. This work shows how driving of the hopping energy provides a novel form of Floquet engineering, which enables atypical Hamiltonians and exotic states of matter to be produced and controlled.https://doi.org/10.1088/1367-2630/aad376FloquetBose–Einstein condensateperiodic drivingphase transition |
| spellingShingle | G Pieplow F Sols C E Creffield Generation of atypical hopping and interactions by kinetic driving New Journal of Physics Floquet Bose–Einstein condensate periodic driving phase transition |
| title | Generation of atypical hopping and interactions by kinetic driving |
| title_full | Generation of atypical hopping and interactions by kinetic driving |
| title_fullStr | Generation of atypical hopping and interactions by kinetic driving |
| title_full_unstemmed | Generation of atypical hopping and interactions by kinetic driving |
| title_short | Generation of atypical hopping and interactions by kinetic driving |
| title_sort | generation of atypical hopping and interactions by kinetic driving |
| topic | Floquet Bose–Einstein condensate periodic driving phase transition |
| url | https://doi.org/10.1088/1367-2630/aad376 |
| work_keys_str_mv | AT gpieplow generationofatypicalhoppingandinteractionsbykineticdriving AT fsols generationofatypicalhoppingandinteractionsbykineticdriving AT cecreffield generationofatypicalhoppingandinteractionsbykineticdriving |