Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model

Journal Article · Fri Apr 10 04:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.140402· OSTI ID:21180345

Batrouni, G G ^[1]; Rousseau, V G ^[2]; Scalettar, R T ^[3]

---

1. INLN, Universite de Nice-Sophia Antipolis, CNRS, 1361 route des Lucioles, 06560 Valbonne (France)
2. Instituut-Lorentz, LION, Universiteit Leiden, Postbus 9504, 2300 RA Leiden (Netherlands)
3. 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, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETISM
BOSONS
COMPUTERIZED SIMULATION
GROUND STATES
HUBBARD MODEL
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
PHASE DIAGRAMS
SPIN
SUPERFLUIDITY