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Quantum phase transitions in the Fermi–Bose Hubbard model

L. D. Carr and M. J. Holland
Phys. Rev. A 72, 031604(R) – Published 23 September 2005

Abstract

We propose a multiband Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach resonance. We solve this model in the two-state approximation for paired fermions at zero temperature. The problem then maps onto a coupled Heisenberg spin model. In the limit of large positive and negative detuning, the quantum phase transitions in the Bose Hubbard and paired-Fermi Hubbard models are correctly reproduced. Near resonance, the Mott states are given by a superposition of the paired-fermion and boson fields and the Mott-superfluid borders go through an avoided crossing in the phase diagram.

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  • Received 7 January 2005

DOI:https://doi.org/10.1103/PhysRevA.72.031604

©2005 American Physical Society

Authors & Affiliations

L. D. Carr* and M. J. Holland

  • JILA, National Institute of Standards and Technology and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

  • *Present address: Physics Department, Colorado School of Mines, Golden, Colorado 80401 USA

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Issue

Vol. 72, Iss. 3 — September 2005

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