Unconventional fermionic pairing states in a monochromatically tilted optical lattice

Nocera, Alberto; Polkovnikov, Anatoli; Feiguin, Adrian E.

doi:10.1103/PhysRevA.95.023601

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

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.95.023601· OSTI ID:1344286

Nocera, Alberto ^[1]; Polkovnikov, Anatoli ^[2]; Feiguin, Adrian E. ^[3]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Boston Univ., Boston, MA (United States)
Northeastern Univ., Boston, MA (United States)

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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725; SC0014407

OSTI ID:: 1344286

Alternate ID(s):: OSTI ID: 1342439

Journal Information:: Physical Review A, Vol. 95, Issue 2; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Ultra-Fast Control of Magnetic Relaxation in a Periodically Driven Hubbard Model Mendoza-Arenas, Juan Jose; Gómez-Ruiz, Fernando Javier; Eckstein, Martin Annalen der Physik, Vol. 529, Issue 10 https://doi.org/10.1002/andp.201700024	journal	July 2017
Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases Zheng, Zhen; Wang, Z. D. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 52, Issue 7 https://doi.org/10.1088/1361-6455/ab08df	journal	March 2019
Effective Hamiltonian with tunable mixed pairing in driven optical lattices Wu, Yu-Biao; Guo, Guang-Can; Zheng, Zhen Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.013622	journal	January 2020
Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases Zheng, Zhen; Wang, Z. D. arXiv https://doi.org/10.48550/arxiv.1810.06159	text	January 2018

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