Random-field-induced order in bosonic t-J model

Abstract

In the present paper, we shall study effect of a random quenched external field for spin order and also multiple Bose-Einstein condensation (BEC). This system is realized by the cold atomic gases in an optical lattice. In particular, we are interested in the strong-repulsion region of two-component gases for which the bosonic t-J model is a good effective model. In the bosonic t-J model, a long-range order of the pseudo-spin and also BEC of atoms appear quite naturally as in the fermion t-J model for the high-temperature superconducting materials. Random Raman scattering between two internal states of a single atom plays a role of the random external field, and we study its effects on the pseudo-spin order and the BEC by means of quantum Monte-Carlo simulations. The random external field breaks a continuous U(1) symmetry existing in the original bosonic t-J model and it induces new orders named random-field-induced order (RFIO). We show a phase diagram of the bosonic t-J model with the random external magnetic field and study the robustness of the RFIO states. We also study topological excitations like vortices and domain wall in the RFIO state. Finally we point out the possibility of a quantum bit by the RFIO.

arXiv commentVersion to appear in New J. Phys

References in corpus (22)

• A Bose-Einstein condensate in a random potential
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Phase diagram of two-component bosons on an optical lattice
• Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
• Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
• Chiral d-wave superconductivity in doped graphene
• Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
• Phase diagram of planar U(1)xU(1) superconductors: condensation of vortices with fractional flux and a superfluid state
• Sign-Alternating Interaction Mediated by Strongly-Correlated Lattice Bosons
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Deconfinement of Vortices with Continuously Variable Fractions of the Unit Flux Quanta in Two-Gap Superconductors
• Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Disorder-induced superfluidity
• Phase diagram of anisotropic boson t-J model
• Random Field Induced Order in Low Dimension
• On Random Field Induced Ordering in the Classical XY Model
• Finite-temperature phase diagram of two-component bosons in a cubic optical lattice: Three-dimensional t-J model of hard-core bosons
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Effective field theory for two-species bosons in an optical lattice: Multiple order, the Nambu-Goldstone bosons, the Higgs mode and vortex lattice
• Superfluid, Supersolid and Checkerboard Solid in Two-Component Bosons in an Optical Lattice: Study by Means of Gross-Pitaevskii Theory and Monte-Carlo Simulations

Cited by in corpus (4)

• Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
• Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
• Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice
• Phase diagram of dipolar hard-core bosons on honeycomb lattice