Feedback-stabilized dynamical steady states in the Bose-Hubbard model
The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this paper, we investigate the potential of this approach from three perspectives. First, we consider a double-well system in the cl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043075 |
| _version_ | 1797210856595914752 |
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| author | Jeremy T. Young Alexey V. Gorshkov I. B. Spielman |
| author_facet | Jeremy T. Young Alexey V. Gorshkov I. B. Spielman |
| author_sort | Jeremy T. Young |
| collection | DOAJ |
| description | The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this paper, we investigate the potential of this approach from three perspectives. First, we consider a double-well system in the classical large-atom-number limit, deriving the exact equations of motion in the presence of feedback. Second, we consider the same system in the limit of small atom number, revealing the effect that quantum fluctuations have on the feedback scheme. Finally, we explore the behavior of modest-sized Hubbard chains using exact numerics, demonstrating the near-deterministic preparation of number states, a tradeoff between local and nonlocal feedback for state preparation, and evidence of a feedback-driven symmetry-breaking phase transition. |
| first_indexed | 2024-04-24T10:17:15Z |
| format | Article |
| id | doaj.art-5e49021bd89840809667a74b7e1ee9b2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:17:15Z |
| publishDate | 2021-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5e49021bd89840809667a74b7e1ee9b22024-04-12T17:15:10ZengAmerican Physical SocietyPhysical Review Research2643-15642021-10-013404307510.1103/PhysRevResearch.3.043075Feedback-stabilized dynamical steady states in the Bose-Hubbard modelJeremy T. YoungAlexey V. GorshkovI. B. SpielmanThe implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this paper, we investigate the potential of this approach from three perspectives. First, we consider a double-well system in the classical large-atom-number limit, deriving the exact equations of motion in the presence of feedback. Second, we consider the same system in the limit of small atom number, revealing the effect that quantum fluctuations have on the feedback scheme. Finally, we explore the behavior of modest-sized Hubbard chains using exact numerics, demonstrating the near-deterministic preparation of number states, a tradeoff between local and nonlocal feedback for state preparation, and evidence of a feedback-driven symmetry-breaking phase transition.http://doi.org/10.1103/PhysRevResearch.3.043075 |
| spellingShingle | Jeremy T. Young Alexey V. Gorshkov I. B. Spielman Feedback-stabilized dynamical steady states in the Bose-Hubbard model Physical Review Research |
| title | Feedback-stabilized dynamical steady states in the Bose-Hubbard model |
| title_full | Feedback-stabilized dynamical steady states in the Bose-Hubbard model |
| title_fullStr | Feedback-stabilized dynamical steady states in the Bose-Hubbard model |
| title_full_unstemmed | Feedback-stabilized dynamical steady states in the Bose-Hubbard model |
| title_short | Feedback-stabilized dynamical steady states in the Bose-Hubbard model |
| title_sort | feedback stabilized dynamical steady states in the bose hubbard model |
| url | http://doi.org/10.1103/PhysRevResearch.3.043075 |
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