Ultracold spin-imbalanced Fermi gases in low dimensions

4 Jan 2011, 16:20
50m
FB54

FB54

Speaker

Vincent Liu (Pittsburg U)

Description

In this talk, I will present some theoretical results motivated by the ongoing experiment of a lattice array of one-dimensional spin imbalanced Fermi gases with strong interaction. The system is suitable for studying dimensional crossover of the FFLO phase. I will first report for exact one dimension a breakthrough in analytically reducing the infinite coupled thermodynamic Bethe ansatz equations, whose physics is exact but notoriously difficult to understand, to a powerful set of four algebraic equations. The new formulation reveals universal finite-temperature crossovers between exotic quantum phases at zero temperature. Then, for quasi-1D, I will report a model of coupled Luttinger liquids obtained as effective field theory by treating spin-charge mixing through the method of Bethe ansatz and conformal invariance. Finally, I will show that, when the system is tuned to 2D, the Kosterlitz-Thouless transition of the FFLO phase is described by a U(1)xU(1)/Z2 field theory with fractional topological defects. Work done in collaboration with M. T. Batchelor, X.-W. Guan, X. Li, C. Lin, M. Oshikawa, and E. Zhao. Supported by ARO-DARPA-OLE and ARO.

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