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Coherent quench dynamics in the one-dimensional Fermi-Hubbard model

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Author(s)
Iyer, Deepak
•
Mondaini, Rubem
•
Will, Sebastian
•
Rigol, Marcos
Date Issued
September 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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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.
Persistent DSpace Link
http://hdl.handle.net/1721.1/90301
DOI of Published Version
https://doi.org/10.1103/PhysRevA.90.031602
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