Protected cat states from kinetic driving of a boson gas
We investigate the behavior of a one-dimensional Bose-Hubbard gas in both a ring and a hard-wall box, whose kinetic energy is made to oscillate with zero time average, which suppresses first-order particle hopping. For intermediate and large driving amplitudes, the system in the ring has similaritie...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2019-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.033013 |
| _version_ | 1797211691206836224 |
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| author | G. Pieplow C. E. Creffield F. Sols |
| author_facet | G. Pieplow C. E. Creffield F. Sols |
| author_sort | G. Pieplow |
| collection | DOAJ |
| description | We investigate the behavior of a one-dimensional Bose-Hubbard gas in both a ring and a hard-wall box, whose kinetic energy is made to oscillate with zero time average, which suppresses first-order particle hopping. For intermediate and large driving amplitudes, the system in the ring has similarities to the Richardson model, but with a peculiar type of pairing and an attractive interaction in momentum space. This analogy permits an understanding of some key features of the interacting boson problem. The ground state is a macroscopic quantum superposition, or cat state, of two many-body states characterized by the preferential occupation of opposite momentum eigenstates. Interactions give rise to a reduction (or modified depletion) cloud that is common to both macroscopically distinct states. Symmetry arguments permit a precise identification of the two orthonormal macroscopic many-body branches which combine to yield the ground state. In the ring, the system is sensitive to variations of the effective flux but in such a way that the macroscopic superposition is preserved. We discuss other physical aspects that contribute to protect the catlike nature of the ground state. |
| first_indexed | 2024-04-24T10:30:31Z |
| format | Article |
| id | doaj.art-af03231faa4f480b944fadf7d5614c6a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:30:31Z |
| publishDate | 2019-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-af03231faa4f480b944fadf7d5614c6a2024-04-12T16:46:02ZengAmerican Physical SocietyPhysical Review Research2643-15642019-10-011303301310.1103/PhysRevResearch.1.033013Protected cat states from kinetic driving of a boson gasG. PieplowC. E. CreffieldF. SolsWe investigate the behavior of a one-dimensional Bose-Hubbard gas in both a ring and a hard-wall box, whose kinetic energy is made to oscillate with zero time average, which suppresses first-order particle hopping. For intermediate and large driving amplitudes, the system in the ring has similarities to the Richardson model, but with a peculiar type of pairing and an attractive interaction in momentum space. This analogy permits an understanding of some key features of the interacting boson problem. The ground state is a macroscopic quantum superposition, or cat state, of two many-body states characterized by the preferential occupation of opposite momentum eigenstates. Interactions give rise to a reduction (or modified depletion) cloud that is common to both macroscopically distinct states. Symmetry arguments permit a precise identification of the two orthonormal macroscopic many-body branches which combine to yield the ground state. In the ring, the system is sensitive to variations of the effective flux but in such a way that the macroscopic superposition is preserved. We discuss other physical aspects that contribute to protect the catlike nature of the ground state.http://doi.org/10.1103/PhysRevResearch.1.033013 |
| spellingShingle | G. Pieplow C. E. Creffield F. Sols Protected cat states from kinetic driving of a boson gas Physical Review Research |
| title | Protected cat states from kinetic driving of a boson gas |
| title_full | Protected cat states from kinetic driving of a boson gas |
| title_fullStr | Protected cat states from kinetic driving of a boson gas |
| title_full_unstemmed | Protected cat states from kinetic driving of a boson gas |
| title_short | Protected cat states from kinetic driving of a boson gas |
| title_sort | protected cat states from kinetic driving of a boson gas |
| url | http://doi.org/10.1103/PhysRevResearch.1.033013 |
| work_keys_str_mv | AT gpieplow protectedcatstatesfromkineticdrivingofabosongas AT cecreffield protectedcatstatesfromkineticdrivingofabosongas AT fsols protectedcatstatesfromkineticdrivingofabosongas |