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:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Boston Univ., Boston, MA (United States)
- 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}
}
Web of Science
Works referenced in this record:
Many-body physics with ultracold gases
journal, July 2008
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- Reviews of Modern Physics, Vol. 80, Issue 3
Inhomogeneous superconductivity in condensed matter and QCD
journal, February 2004
- Casalbuoni, Roberto; Nardulli, Giuseppe
- Reviews of Modern Physics, Vol. 76, Issue 1
Repulsively bound atom pairs in an optical lattice
journal, June 2006
- Winkler, K.; Thalhammer, G.; Lang, F.
- Nature, Vol. 441, Issue 7095
Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
journal, March 2008
- Tezuka, Masaki; Ueda, Masahito
- Physical Review Letters, Vol. 100, Issue 11
Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms
journal, January 2003
- Jaksch, D.; Zoller, P.
- New Journal of Physics, Vol. 5
Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
journal, April 2016
- Mikami, Takahiro; Kitamura, Sota; Yasuda, Kenji
- Physical Review B, Vol. 93, Issue 14
Quantum Monte Carlo study of one-dimensional trapped fermions with attractive contact interactions
journal, September 2008
- Casula, Michele; Ceperley, D. M.; Mueller, Erich J.
- Physical Review A, Vol. 78, Issue 3
Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
journal, October 2014
- Bukov, Marin; Polkovnikov, Anatoli
- Physical Review A, Vol. 90, Issue 4
Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015
- Bukov, Marin; D'Alessio, Luca; Polkovnikov, Anatoli
- Advances in Physics, Vol. 64, Issue 2
Spin-imbalance in a one-dimensional Fermi gas
journal, September 2010
- Liao, Yean-an; Rittner, Ann Sophie C.; Paprotta, Tobias
- Nature, Vol. 467, Issue 7315
Single-atom-resolved fluorescence imaging of an atomic Mott insulator
journal, August 2010
- Sherson, Jacob F.; Weitenberg, Christof; Endres, Manuel
- Nature, Vol. 467, Issue 7311
Superfluid-Insulator Transition in a Periodically Driven Optical Lattice
journal, December 2005
- Eckardt, André; Weiss, Christoph; Holthaus, Martin
- Physical Review Letters, Vol. 95, Issue 26
Inhomogeneous superconducting state in quasi-one-dimensional systems
journal, March 2001
- Yang, Kun
- Physical Review B, Vol. 63, Issue 14
Fulde-Ferrell-Larkin-Ovchinnikov state in the one-dimensional attractive Hubbard model and its fingerprint in spatial noise correlations
journal, July 2008
- Lüscher, Andreas; Noack, Reinhard M.; Läuchli, Andreas M.
- Physical Review A, Vol. 78, Issue 1
Quantum simulation
journal, March 2014
- Georgescu, I. M.; Ashhab, S.; Nori, Franco
- Reviews of Modern Physics, Vol. 86, Issue 1
Coherent Control of Dressed Matter Waves
journal, March 2009
- Zenesini, Alessandro; Lignier, Hans; Ciampini, Donatella
- Physical Review Letters, Vol. 102, Issue 10
Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
journal, March 2016
- Bukov, Marin; Kolodrubetz, Michael; Polkovnikov, Anatoli
- Physical Review Letters, Vol. 116, Issue 12
Synthetic magnetic fields for ultracold neutral atoms
journal, December 2009
- Lin, Y. -J.; Compton, R. L.; Jiménez-García, K.
- Nature, Vol. 462, Issue 7273
Fermi gases in one dimension: From Bethe ansatz to experiments
journal, November 2013
- Guan, Xi-Wen; Batchelor, Murray T.; Lee, Chaohong
- Reviews of Modern Physics, Vol. 85, Issue 4
Superconductivity in a Strong Spin-Exchange Field
journal, August 1964
- Fulde, Peter; Ferrell, Richard A.
- Physical Review, Vol. 135, Issue 3A
Fermionic Superfluidity with Imbalanced Spin Populations
journal, January 2006
- Zwierlein, M. W.
- Science, Vol. 311, Issue 5760
Pairing and Phase Separation in a Polarized Fermi Gas
journal, January 2006
- Partridge, G. B.
- Science, Vol. 311, Issue 5760
Directed transport in driven optical lattices by gauge generation
journal, August 2011
- Creffield, C. E.; Sols, F.
- Physical Review A, Vol. 84, Issue 2
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016
- Kuwahara, Tomotaka; Mori, Takashi; Saito, Keiji
- Annals of Physics, Vol. 367
Tunable Gauge Potential for Neutral and Spinless Particles in Driven Optical Lattices
journal, May 2012
- Struck, J.; Ölschläger, C.; Weinberg, M.
- Physical Review Letters, Vol. 108, Issue 22
Colloquium : Artificial gauge potentials for neutral atoms
journal, November 2011
- Dalibard, Jean; Gerbier, Fabrice; Juzeliūnas, Gediminas
- Reviews of Modern Physics, Vol. 83, Issue 4
Fulde-Ferrell-Larkin-Ovchinnikov pairing in one-dimensional optical lattices
journal, June 2008
- Rizzi, M.; Polini, Marco; Cazalilla, M. A.
- Physical Review B, Vol. 77, Issue 24
Finite-momentum Bose-Einstein condensates in shaken two-dimensional square optical lattices
journal, July 2011
- Di Liberto, M.; Tieleman, O.; Branchina, V.
- Physical Review A, Vol. 84, Issue 1
Quantum simulations with ultracold quantum gases
journal, April 2012
- Bloch, Immanuel; Dalibard, Jean; Nascimbène, Sylvain
- Nature Physics, Vol. 8, Issue 4
Probing the Superfluid-to-Mott Insulator Transition at the Single-Atom Level
journal, June 2010
- Bakr, W. S.; Peng, A.; Tai, M. E.
- Science, Vol. 329, Issue 5991
Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
journal, December 2007
- Feiguin, A. E.; Heidrich-Meisner, F.
- Physical Review B, Vol. 76, Issue 22
Controlled Generation of Coherent Matter Currents Using a Periodic Driving Field
journal, June 2008
- Creffield, C. E.; Sols, F.
- Physical Review Letters, Vol. 100, Issue 25
Attractive Fermi Gases with Unequal Spin Populations in Highly Elongated Traps
journal, February 2007
- Orso, G.
- Physical Review Letters, Vol. 98, Issue 7
High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
journal, September 2015
- Eckardt, André; Anisimovas, Egidijus
- New Journal of Physics, Vol. 17, Issue 9
-pairing superfluid in periodically-driven fermionic Hubbard model with strong attraction
journal, November 2016
- Kitamura, Sota; Aoki, Hideo
- Physical Review B, Vol. 94, Issue 17
Many-Body Physics with Ultracold Gases
text, January 2007
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- arXiv
Dynamical control of matter-wave tunneling in periodic potentials
text, January 2007
- Lignier, H.; Sias, C.; Ciampini, D.
- arXiv
Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
text, January 2007
- Feiguin, A. E.; Heidrich-Meisner, F.
- arXiv
Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
text, January 2007
- Tezuka, Masaki; Ueda, Masahito
- arXiv
Spin-Imbalance in a One-Dimensional Fermi Gas
text, January 2009
- Liao, Yean-an; Rittner, Ann Sophie C.; Paprotta, Tobias
- arXiv
Tunable gauge potential for neutral and spinless particles in driven lattices
text, January 2012
- Struck, Julian; Ölschläger, Christoph; Weinberg, Malte
- arXiv
Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
text, January 2014
- Bukov, Marin; Polkovnikov, Anatoli
- arXiv
$η$-pairing superfluid in periodically-driven fermionic Hubbard model with strong attraction
text, January 2015
- Kitamura, Sota; Aoki, Hideo
- arXiv
Real time evolution using the density matrix renormalization group
text, January 2004
- White, Steven R.; Feiguin, Adrian E.
- arXiv
Attractive Fermi gases with unequal spin populations in highly elongated traps
text, January 2006
- Orso, G.
- arXiv
Inhomogeneous Superconductivity in Condensed Matter and QCD
text, January 2003
- Casalbuoni, Roberto; Nardulli, Giuseppe
- arXiv
Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
text, January 2003
- Jaksch, D.; Zoller, P.
- arXiv
Works referencing / citing this record:
Ultra-Fast Control of Magnetic Relaxation in a Periodically Driven Hubbard Model
journal, July 2017
- Mendoza-Arenas, Juan Jose; Gómez-Ruiz, Fernando Javier; Eckstein, Martin
- Annalen der Physik, Vol. 529, Issue 10
Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
journal, March 2019
- Zheng, Zhen; Wang, Z. D.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 52, Issue 7
Effective Hamiltonian with tunable mixed pairing in driven optical lattices
journal, January 2020
- Wu, Yu-Biao; Guo, Guang-Can; Zheng, Zhen
- Physical Review A, Vol. 101, Issue 1
Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
text, January 2018
- Zheng, Zhen; Wang, Z. D.
- arXiv