Phase Diagram of Spin-1 Bosons on One-Dimensional Lattices

2005/06/30 by Matteo Rizzi, Davide Rossini, Gabriele De Chiara +2 · 114 citations
Physics and Astronomy · #Antiferromagnetism #Asymmetry #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Density matrix renormalization group #Ground state #Heisenberg model #Lattice (music) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Spinor #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.95.240404

published in Physical Review Letters 95(24), 240404 (American Physical Society) · 5 pages, 4 figures, published version

openalex publication_date 2005/12/08 · arxiv created 2005/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Spinor Bose condensates loaded in optical lattices have a rich phase diagram characterized by different magnetic order. Here we apply the density matrix renormalization group to accurately determine the phase diagram for spin-1 bosons loaded on a one-dimensional lattice. The Mott lobes present an even or odd asymmetry associated to the boson filling. We show that for odd fillings the insulating phase is always in a dimerized state. The results obtained in this work are also relevant for the determination of the ground state phase diagram of the S = 1 Heisenberg model with biquadratic interaction.

Citations

• Insulator-superfluid transition of spin-1 bosons in an optical lattice in magnetic field
• Magnetization Plateaus for Spin-One Bosons in Optical Lattices: Stern-Gerlach Experiments with Strongly Correlated Atoms
• Josephson Junction Arrays with Bose-Einstein Condensates
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Density-matrix algorithms for quantum renormalization groups
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Implementation of Spin Hamiltonians in Optical Lattices
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Spin singlet mott states and evidence for spin singlet quantum condensates of spin-one bosons in lattices
• Spin-exchange interactions of spin-one bosons in optical lattices: Singlet, nematic, and dimerized phases
• The cold atom Hubbard toolbox
• Microscopic wave functions of spin-singlet and nematic Mott states of spin-one bosons in high-dimensional bipartite lattices