Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices

Abstract

We investigate the ground-state phase diagram of interacting binary Bose gases trapped in two-dimensional optical lattices by means of quantum Monte Carlo simulations. Our simulations reveal a magnetic phase transition from a $x-y$ ferromagnetic-order to a spin insulator inside the Mott insulating phase with two particles per site for quasi-balanced on-site inter- and intra-particle interactions, i.e., $U_{\uparrow \downarrow }\lesssim U$. This 3D-XY transition is characterized by the establishment of a finite local magnetic moment along the $z$-axis, ferromagnetic correlations in the $x-y$ plan and by counterflow superfluidity inside the Mott phase. When decreasing $U_{\uparrow \downarrow }/U$, this transition merges with the Mott-superfluid transition and becomes first-order. The merging of the two transitions is investigated with respect to $U_{\uparrow \downarrow }/U$ parameter.

arXiv comment6 pages, 5 figures

References in corpus (28)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Feshbach Resonances in Ultracold Gases
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Critical behavior of the three-dimensional XY universality class
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Phase diagram of two-component bosons on an optical lattice
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Spin gradient thermometry for ultracold atoms in optical lattices
• Sign-Alternating Interaction Mediated by Strongly-Correlated Lattice Bosons
• The Stochastic Green Function (SGF) algorithm
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Directed update for the Stochastic Green Function algorithm
• Critical entropies for magnetic ordering in bosonic mixtures on a lattice
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Quantum tricriticality at the superfluid-insulator transition of binary Bose mixtures
• Interacting spin-1 bosons in a two-dimensional optical lattice
• Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice
• Detecting Super-Counter-Fluidity by Ramsey Spectroscopy
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Quantum and Thermal Phase Transitions in a Bosonic Atom-Molecule Mixture in a Two-dimensional Optical Lattice
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect

Cited by in corpus (5)

• Observation of counterflow superfluidity in a two-component Mott insulator
• Counterflow of lattice polarons in harmonically confined optical lattices
• Borromean supercounterfluids at finite temperatures
• Revisiting vestigial order in nematic superconductors: gauge-field mechanisms and model constraints
• Field Theory of Borromean Super-counterfluids