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

Abstract

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.

Authors:
 [1];  [2];  [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)
Publication Date:
OSTI Identifier:
21180345
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 102; Journal Issue: 14; Other Information: DOI: 10.1103/PhysRevLett.102.140402; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Batrouni, G G, Rousseau, V G, and Scalettar, R T. Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model. United States: N. p., 2009. Web. doi:10.1103/PHYSREVLETT.102.140402.
Batrouni, G G, Rousseau, V G, & Scalettar, R T. Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model. United States. doi:10.1103/PHYSREVLETT.102.140402.
Batrouni, G G, Rousseau, V G, and Scalettar, R T. Fri . "Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model". United States. doi:10.1103/PHYSREVLETT.102.140402.
@article{osti_21180345,
title = {Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model},
author = {Batrouni, G G and Rousseau, V G and Scalettar, R T},
abstractNote = {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.},
doi = {10.1103/PHYSREVLETT.102.140402},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 14,
volume = 102,
place = {United States},
year = {2009},
month = {4}
}