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Title: Unconventional fermionic pairing states in a monochromatically tilted optical lattice

Abstract

We study the one-dimensional attractive fermionic Hubbard model under the influence of periodic driving with the time-dependent density matrix renormalization group method. We show that the system can be driven into an unconventional pairing state characterized by a condensate made of Cooper pairs with a finite center-of-mass momentum similar to a Fulde-Ferrell state. We obtain results both in the laboratory and the rotating reference frames demonstrating that the momentum of the condensate can be finely tuned by changing the ratio between the amplitude and the frequency of the driving. In particular, by quenching this ratio to the value corresponding to suppression of the tunneling and the Coulomb interaction strength to zero, we are able to “freeze” the condensate. We finally study the effects of different initial conditions and compare our numerical results to those obtained from a time-independent Floquet theory in the large frequency regime. Lastly, our work offers the possibility of engineering and controlling unconventional pairing states in fermionic condensates.

Authors:
 [1];  [2];  [3]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Boston Univ., Boston, MA (United States)
  3. Northeastern Univ., Boston, MA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1344286
Alternate Identifier(s):
OSTI ID: 1342439
Grant/Contract Number:  
AC05-00OR22725; SC0014407
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 95; Journal Issue: 2; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Nocera, Alberto, Polkovnikov, Anatoli, and Feiguin, Adrian E. Unconventional fermionic pairing states in a monochromatically tilted optical lattice. United States: N. p., 2017. Web. doi:10.1103/PhysRevA.95.023601.
Nocera, Alberto, Polkovnikov, Anatoli, & Feiguin, Adrian E. Unconventional fermionic pairing states in a monochromatically tilted optical lattice. United States. https://doi.org/10.1103/PhysRevA.95.023601
Nocera, Alberto, Polkovnikov, Anatoli, and Feiguin, Adrian E. Wed . "Unconventional fermionic pairing states in a monochromatically tilted optical lattice". United States. https://doi.org/10.1103/PhysRevA.95.023601. https://www.osti.gov/servlets/purl/1344286.
@article{osti_1344286,
title = {Unconventional fermionic pairing states in a monochromatically tilted optical lattice},
author = {Nocera, Alberto and Polkovnikov, Anatoli and Feiguin, Adrian E.},
abstractNote = {We study the one-dimensional attractive fermionic Hubbard model under the influence of periodic driving with the time-dependent density matrix renormalization group method. We show that the system can be driven into an unconventional pairing state characterized by a condensate made of Cooper pairs with a finite center-of-mass momentum similar to a Fulde-Ferrell state. We obtain results both in the laboratory and the rotating reference frames demonstrating that the momentum of the condensate can be finely tuned by changing the ratio between the amplitude and the frequency of the driving. In particular, by quenching this ratio to the value corresponding to suppression of the tunneling and the Coulomb interaction strength to zero, we are able to “freeze” the condensate. We finally study the effects of different initial conditions and compare our numerical results to those obtained from a time-independent Floquet theory in the large frequency regime. Lastly, our work offers the possibility of engineering and controlling unconventional pairing states in fermionic condensates.},
doi = {10.1103/PhysRevA.95.023601},
journal = {Physical Review A},
number = 2,
volume = 95,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}

Journal Article:

Citation Metrics:
Cited by: 8 works
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Works referencing / citing this record:

Ultra-Fast Control of Magnetic Relaxation in a Periodically Driven Hubbard Model
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Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
journal, March 2019

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Effective Hamiltonian with tunable mixed pairing in driven optical lattices
journal, January 2020