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Title: Moving solitons in a one-dimensional fermionic superfluid

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 1050-2947
American Physical Society
Country of Publication:
United States

Citation Formats

Efimkin, Dmitry K., and Galitski, Victor. Moving solitons in a one-dimensional fermionic superfluid. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.91.023616.
Efimkin, Dmitry K., & Galitski, Victor. Moving solitons in a one-dimensional fermionic superfluid. United States. doi:10.1103/PhysRevA.91.023616.
Efimkin, Dmitry K., and Galitski, Victor. Tue . "Moving solitons in a one-dimensional fermionic superfluid". United States. doi:10.1103/PhysRevA.91.023616.
title = {Moving solitons in a one-dimensional fermionic superfluid},
author = {Efimkin, Dmitry K. and Galitski, Victor},
abstractNote = {},
doi = {10.1103/PhysRevA.91.023616},
journal = {Physical Review A},
number = 2,
volume = 91,
place = {United States},
year = {Tue Feb 17 00:00:00 EST 2015},
month = {Tue Feb 17 00:00:00 EST 2015}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevA.91.023616

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Cited by: 10works
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  • We study a one-dimensional Fermi gas with attractive short range-interactions in a disordered potential by the density matrix renormalization group (DMRG) technique. Our results can be tested experimentally by using cold atom techniques. We identify a region of parameters for which disorder enhances the superfluid state. As disorder is further increased, global superfluidity eventually breaks down. However this transition seems to occur before the transition to the insulator state takes place. This suggests the existence of an intermediate metallic 'pseudogap' phase characterized by strong pairing but no quasi-long-range order.
  • We study an ultracold and dilute superfluid Bose-Fermi mixture confined in a strictly one-dimensional (1D) atomic waveguide by using a set of coupled nonlinear mean-field equations obtained from the Lieb-Liniger energy density for bosons and the Gaudin-Yang energy density for fermions. We consider a finite Bose-Fermi interatomic strength g{sub bf} and both periodic and open boundary conditions. We find that with periodic boundary conditions--i.e., in a quasi-1D ring - a uniform Bose-Fermi mixture is stable only with a large fermionic density. We predict that at small fermionic densities the ground state of the system displays demixing if g{sub bf}>0 andmore » may become a localized Bose-Fermi bright soliton for g{sub bf}<0. Finally, we show, using variational and numerical solutions of the mean-field equations, that with open boundary conditions--i.e., in a quasi-1D cylinder--the Bose-Fermi bright soliton is the unique ground state of the system with a finite number of particles, which could exhibit a partial mixing-demixing transition. In this case the bright solitons are demonstrated to be dynamically stable. The experimental realization of these Bose-Fermi bright solitons seems possible with present setups.« less
  • We predict the existence of self-trapping, stable, moving solitons and breathers of Fermi wave packets along the Bose-Einstein condensation (BEC)-BCS crossover in one dimension (1D), 2D, and 3D optical lattices. The dynamical phase diagrams for self-trapping, solitons, and breathers of the Fermi matter waves along the BEC-BCS crossover are presented analytically and verified numerically by directly solving a discrete nonlinear Schroedinger equation. We find that the phase diagrams vary greatly along the BEC-BCS crossover; the dynamics of Fermi wave packet are different from that of Bose wave packet.
  • We study a quasi-two-dimensional superfluid Fermi gas where the confinement in the third direction is due to a strong harmonic trapping. We investigate the behavior of such a system when the chemical potential is varied and find strong modifications of the superfluid properties due to the discrete harmonic oscillator states. We show that such quasi-two-dimensional behavior can be created and observed with current experimental capabilities.
  • We investigate two-component ultracold fermionic atoms with attractive interactions trapped in a two-dimensional optical lattice at zero temperature. By introducing a superfluid trial state with spatially modulated order parameters, we perform the variational Monte Carlo simulations to treat the correlation effects beyond mean-field treatments. It is shown that there appears a strong tendency to the formation of a density wave state in the regions with specific values of local atom density. We then analyze two kinds of perturbations to the superfluid state and show that a coexisting state of superfluid and density wave ordering, a sort of supersolid state, canmore » be stabilized. It is discussed how the trap potential and the resulting spatial modulation of the superfluid state affect the momentum distributions and the noise correlation functions.« less