Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-26
Phys. Rev. A 82, 013639 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, 14 figures. To appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.82.013639
We explore the phase diagram of two-component bosons with Feshbach resonant pairing interactions in an optical lattice. It has been shown in previous work to exhibit a rich variety of phases and phase transitions, including a paradigmatic Ising quantum phase transition within the second Mott lobe. We discuss the evolution of the phase diagram with system parameters and relate this to the predictions of Landau theory. We extend our exact diagonalization studies of the one-dimensional bosonic Hamiltonian and confirm additional Ising critical exponents for the longitudinal and transverse magnetic susceptibilities within the second Mott lobe. The numerical results for the ground state energy and transverse magnetization are in good agreement with exact solutions of the Ising model in the thermodynamic limit. We also provide details of the low-energy spectrum, as well as density fluctuations and superfluid fractions in the grand canonical ensemble.
Bhaseen M. J.
Hohenadler Martin
Silver A. O.
Simons Benjamin D.
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