Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model
- INLN, Universite de Nice-Sophia Antipolis, CNRS, 1361 route des Lucioles, 06560 Valbonne (France)
- Instituut-Lorentz, LION, Universiteit Leiden, Postbus 9504, 2300 RA Leiden (Netherlands)
- Physics Department, University of California, Davis, California 95616 (United States)
Recent progress in experiments on trapped ultracold atoms has made it possible to study the interplay between magnetism and superfluid-insulator transitions in the boson Hubbard model. We report on quantum Monte Carlo simulations of the spin-1 boson Hubbard model in the ground state. For antiferromagnetic interactions favoring singlets, we present exact numerical evidence that the superfluid-insulator transition is first (second) order for even (odd) Mott lobes. Inside even lobes, we search for nematic-to-singlet first order transitions. In the ferromagnetic case where transitions are all continuous, we map the phase diagram and show the superfluid to be ferromagnetic. We compare the quantum Monte Carlo phase diagram with a third order perturbation calculation.
- OSTI ID:
- 21180345
- Journal Information:
- Physical Review Letters, Vol. 102, Issue 14; Other Information: DOI: 10.1103/PhysRevLett.102.140402; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
Similar Records
Superfluid-insulator transitions of two-species bosons in an optical lattice
Superfluid-Mott insulator transition of spin-1 bosons in an optical lattice