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 |
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American Physical Society
2019-10-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.1.033013 |
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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 |
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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 |