Coherent quench dynamics in the one-dimensional Fermi-Hubbard model
Recently, it has been shown that the momentum distribution of a metallic state of fermionic atoms in a lattice Fermi-Bose mixture exhibits coherent oscillations after a global quench that suppresses tunneling. The oscillation period is determined by the Fermi-Bose interaction strength. Here we show...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/90301 https://orcid.org/0000-0003-2672-5264 |
| _version_ | 1826191857578672128 |
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| author | Iyer, Deepak Mondaini, Rubem Will, Sebastian Rigol, Marcos |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Iyer, Deepak Mondaini, Rubem Will, Sebastian Rigol, Marcos |
| author_sort | Iyer, Deepak |
| collection | MIT |
| description | Recently, it has been shown that the momentum distribution of a metallic state of fermionic atoms in a lattice Fermi-Bose mixture exhibits coherent oscillations after a global quench that suppresses tunneling. The oscillation period is determined by the Fermi-Bose interaction strength. Here we show that similar coherent dynamics, but with a different functional form, occurs in the fermionic Hubbard model when we quench a noninteracting metallic state by introducing a Hubbard interaction and suppressing tunneling. The period is determined primarily by the interaction strength. Conversely, we show that one can accurately determine the Hubbard interaction strength from the oscillation period, taking into account corrections from any small residual tunneling present in the final Hamiltonian. Such residual tunneling shortens the period and damps the oscillations, the latter being visible in the Fermi-Bose experiment. |
| first_indexed | 2024-09-23T09:02:21Z |
| format | Article |
| id | mit-1721.1/90301 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:02:21Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/903012022-09-26T10:00:54Z Coherent quench dynamics in the one-dimensional Fermi-Hubbard model Iyer, Deepak Mondaini, Rubem Will, Sebastian Rigol, Marcos Massachusetts Institute of Technology. Department of Physics Will, Sebastian Recently, it has been shown that the momentum distribution of a metallic state of fermionic atoms in a lattice Fermi-Bose mixture exhibits coherent oscillations after a global quench that suppresses tunneling. The oscillation period is determined by the Fermi-Bose interaction strength. Here we show that similar coherent dynamics, but with a different functional form, occurs in the fermionic Hubbard model when we quench a noninteracting metallic state by introducing a Hubbard interaction and suppressing tunneling. The period is determined primarily by the interaction strength. Conversely, we show that one can accurately determine the Hubbard interaction strength from the oscillation period, taking into account corrections from any small residual tunneling present in the final Hamiltonian. Such residual tunneling shortens the period and damps the oscillations, the latter being visible in the Fermi-Bose experiment. 2014-09-24T15:29:03Z 2014-09-24T15:29:03Z 2014-09 2014-08 2014-09-22T22:00:21Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/90301 Iyer, Deepak, Rubem Mondaini, Sebastian Will, and Marcos Rigol. "Coherent quench dynamics in the one-dimensional Fermi-Hubbard model." Phys. Rev. A 90, 031602 (September 2014). © 2014 American Physical Society https://orcid.org/0000-0003-2672-5264 en http://dx.doi.org/10.1103/PhysRevA.90.031602 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Iyer, Deepak Mondaini, Rubem Will, Sebastian Rigol, Marcos Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title | Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title_full | Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title_fullStr | Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title_full_unstemmed | Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title_short | Coherent quench dynamics in the one-dimensional Fermi-Hubbard model |
| title_sort | coherent quench dynamics in the one dimensional fermi hubbard model |
| url | http://hdl.handle.net/1721.1/90301 https://orcid.org/0000-0003-2672-5264 |
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