Phase diagram of two-component bosons on an optical lattice

2003/06/26 by Ehud Altman, Walter Hofstetter, Eugene Demler +1 · 25 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Hubbard model #Lattice (music) #Mott insulator #Mott transition #Optical lattice #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum, superfluid, helium dynamics #Superconductivity #Superfluidity #cond-mat.soft #cond-mat.str-el

paper · pdf · doi:10.1088/1367-2630/5/1/113

published as New J. Phys. 5, 113 (2003)

arxiv created 2003/06/26 · openalex publication_date 2003/09/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a theoretical analysis of the phase diagram of two-component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using this new approach we chart the phase boundaries of the broken spin symmetry states up to the Mott to superfluid transition and beyond. Near the transition point, the magnitude of spin exchange can be very large, which facilitates the experimental realization of spin-ordered states. We find that spin and quantum fluctuations have a dramatic effect on the transition, making it first order in extended regions of the phase diagram. When each species is at integer filling, an additional phase transition may occur, from a spin-ordered insulator to a Mott insulator with no broken symmetries. We determine the phase boundaries in this regime and show that this is essentially a Mott transition in the spin sector.

Citations

• Coherent Transport of Neutral Atoms in Spin-Dependent Optical Lattice Potentials
• High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Magnets with strong geometric frustration
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization

Cited by

• Critical entropies for magnetic ordering in bosonic mixtures on a lattice
• Magnetic merging of ultracold atomic gases ofRb<mml:mprescripts/><mml:none/>85andRb<mml:mprescripts/><mml:none/>87
• Superconductivity from doublon condensation in the ionic Hubbard model
• Thermometry and refrigeration in a two-component Mott insulator of ultracold atoms
• Advantages of Mass-Imbalanced Ultracold Fermionic Mixtures for Approaching Quantum Magnetism in Optical Lattices
• Dual-species Bose-Einstein condensate ofRb<mml:mprescripts/><mml:none/>87andCs<mml:mprescripts/><mml:none/>133
• Phase separation in a two-species Bose mixture
• Superfluidity and solid order in a two-component Bose gas with dipolar interactions in an optical lattice
• Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices
• Instabilities of bosonic spin currents in optical lattices
• Far-from-Equilibrium Spin Transport in Heisenberg Quantum Magnets
• Interaction spectroscopy of a two-component Mott insulator
• Stoner Ferromagnetism in a Thermal Pseudospin-1/2Bose Gas
• Stability of low-dimensional multicomponent dilute Bose gases
• Delocalization effects, entanglement entropy and spectral collapse of boson mixtures in a double well
• A polaritonic two-component Bose–Hubbard model
• Cold atoms in double-well optical lattices
• Polaritons and Pairing Phenomena in Bose-Hubbard Mixtures
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Phase transitions of the coherently coupled two-component Bose gas in a square optical lattice
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Magnetic phase transition in coherently coupled Bose gases in optical lattices
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Mott insulators in plaquettes
• Spin transport in a tunable Heisenberg model realized with ultracold atoms