Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram

2003/06/30 by Anatoly Kuklov, Nikolay Prokof’ev, Nikolay Prokof'ev +1 · 14 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Complex Systems and Time Series Analysis #Condensed matter physics #Ground state #Lattice (music) #Mathematics #Monte Carlo method #Optical lattice #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum #Quantum Monte Carlo #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum, superfluid, helium dynamics #Statistical physics #Statistics #Superfluidity #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.92.050402

4 RevTex pages, 3 ps-figures; replaced with revised version accepted by PRL: results of the MC simulations in 4D are briefly discussed

arxiv created 2003/12/11 · openalex publication_date 2004/02/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Two sorts of bosons in an optical lattice at commensurate filling factors can form five stable super-fluid and insulating ground states with rich and nontrivial phase diagram. The structure of the ground state diagram is established by mapping a d-dimensional quantum system onto a (d+1)-dimensional classical loop-current model and Monte Carlo (MC) simulations of the latter. Surprisingly, the quantum phase diagram features, besides second-order lines, first-order transitions and two multicritical points. We explain why first-order transitions are generic for models with pairing interactions using microscopic and mean-field (MF) arguments. In some cases, the MC results strongly deviate from the MF predictions.

Citations

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization

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