Session H32: Quantum Fermi Gases
8:00 AM–10:24 AM, Tuesday, March 6, 2007
Colorado Convention Center Room: 402
Sponsoring Unit:
DAMOP
Chair: Cindy Regal, University of Colorado/JILA
Abstract ID: BAPS.2007.MAR.H32.3
Abstract: H32.00003 : Quantum Phase Transitions of Ultra Cold Gases in the Fermi-Bose Hubbard Hamiltonian
8:24 AM–8:36 AM
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Abstract 
Authors:
D. G. Schirmer
(Colorado School of Mines)
L.D. Carr
(Colorado School of Mines)
I. Danshita
(National Institute for Standards and Technology)
J.E. Williams
(National Institute for Standards and Technology)
Charles Clark
(National Institute for Standards and Technology)
The experimental realization of ultracold fermions has stimulated work on theoretical models of zero-temperature quantum phase transitions and the BCS-BEC crossover. Ultracold gases confined in optical lattices can demonstrate a wide range of different phases by varying controllable system parameters, such as optical lattice intensity, particle number, spin composition and atomic interactions. We perform numerical studies of a Fermi-Bose-Hubbard Hamiltonian with the Vidal algorithm (Time Evolving Block Decimation). Our Hamiltonian treats a one dimensional system of fermions coupled to a bosonic molecular state, as occurs in Feshbach resonances, and encompasses a very large parameter space. We present the quantum phase diagram, focusing on small systems and the most experimentally relevant parameters.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.MAR.H32.3