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.