One-dimensional superfluid Bose-Fermi mixture: Mixing, demixing, and bright solitons

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.023612· OSTI ID:21016020

Adhikari, Sadhan K ^[1]; Salasnich, Luca ^[2]

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1. Instituto de Fisica Teorica, UNESP, Sao Paulo State University, 01.405-900 Sao Paulo, Sao Paulo (Brazil)
2. CNISM and CNR-INFM, Unita di Padova, Dipartimento di Fisica 'G. Galilei', Universita di Padova, Via Marzolo 8, 35131 Padova (Italy)

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 and 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.

• OSTI ID: 21016020
• Journal Information: Physical Review. A, Vol. 76, Issue 2; Other Information: DOI: 10.1103/PhysRevA.76.023612; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINARY MIXTURES
BOSONS
BOUNDARY CONDITIONS
ENERGY DENSITY
FERMIONS
GROUND STATES
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
PERIODICITY
SOLITONS
SUPERFLUIDITY
TEMPERATURE RANGE 0000-0013 K
VARIATIONAL METHODS
WAVEGUIDES