Quantum Phase Transitions in Bosonic Heteronuclear Pairing Hamiltonians

Details Quantum Phase Transitions in Bosonic Heteronuclear Pairing Hamiltonians Quantum Phase Transitions in Bosonic Heteronuclear Pairing Hamiltonians

2010-04-26

arxiv.org/abs/1004.4497v2

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.

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