Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053602· OSTI ID:21408860

Heidrich-Meisner, F; Orso, G ^[1]; Feiguin, A E ^[2]

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1. Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen, D-80333 Muenchen (Germany)
2. Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071 (United States)

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local-density approximation (LDA) and density-matrix renormalization-group (DMRG) simulations. Based on the exact equation of state obtained by Bethe ansatz, the LDA predicts that the gas phase separates into shells with a partially polarized core and fully paired wings, the latter occurring below a critical spin polarization. This behavior is also seen in numerically exact DMRG calculations at sufficiently large particle numbers. We show that, unlike in the continuum case, the critical polarization is a nonmonotonic function of the interaction strength and vanishes in the limit of large interactions.

• OSTI ID: 21408860
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.053602; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
DENSITY MATRIX
EQUATIONS OF STATE
FERMI GAS
FUNCTIONS
INTERACTIONS
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
POLARIZATION
RENORMALIZATION
SIMULATION
SPIN
SPIN ORIENTATION
TRAPPING
ANGULAR MOMENTUM
CALCULATION METHODS
EQUATIONS
MATRICES
ORIENTATION
PARTICLE PROPERTIES