Magnetic phases and transitions of the two-species Bose-Hubbard model

Abstract

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase diagram, and in particular to demonstrate the presence of first-order transitions and hysteresis in the vicinity of a multicritical point. Secondly, an explicit thermodynamic phase diagram is calculated using an approach based on a field-theoretical description of the Bose-Hubbard model, which incorporates the crucial effects of particle-number fluctuations. The maximum transition temperature to a magnetically ordered Mott insulator is found to be limited by the presence of the superfluid phase.

9 pages, 5 figures; v2: additional phase diagram

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Spin dynamics across the superfluid-insulator transition of spinful bosons
• Excited state spectra at the superfluid-insulator transition out of paired condensates

Cited by in corpus (12)

• Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Quantum phase transitions of two-species bosons in square lattice
• Observation of counterflow superfluidity in a two-component Mott insulator
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• Quantum crystal growing: Adiabatic preparation of a bosonic antiferromagnet in the presence of a parabolic inhomogeneity
• Borromean supercounterfluids at finite temperatures
• Revisiting vestigial order in nematic superconductors: gauge-field mechanisms and model constraints
• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
• Field Theory of Borromean Super-counterfluids
• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model
• Isospin Correlations in two-partite Hexagonal Optical Lattices