Ground state properties of a multi-component bosonic mixture: a Gutzwiller mean-field study

Abstract

Using the single-site Gutzwiller method, we theoretically study the ground state and the interspecies entanglement properties of interexchange symmetric multi-component (two- and three-) bosonic mixtures in an optical lattice, and the results are generalized to an $n$-component ($n=2,3,4,\cdots$) system. We compute the mean-field phase diagram, the interspecies entanglement entropy, and the ground state spectral decomposition. Three phases namely the $n$-component Superfluid state (nSF), the $n$-component Mott insulator state (nMI), and the Super-counter-fluid state (SCF) are observed. Interestingly, we find that there are $n-1$ SCF lobes to separate every two neighboring nMI lobes in the phase diagram. More importantly, we derive the exact general expression of the interspecies entanglement entropy for the SCF phase. In addition, we also investigate the demixing effect of an n-component mixture and demonstrate that the mixing-demixing critical point is independent of n.

arXiv comment12 pages, 6 figures

References in corpus (37)

• Cold bosonic atoms in optical lattices
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Double species condensate with tunable interspecies interactions
• Phase diagram of two-component bosons on an optical lattice
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Ultracold Dipolar Gases in Optical Lattices
• Entanglement Spectrum, Critical Exponents and Order Parameters in Quantum Spin Chains
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Superfluid-insulator transitions of two-species Bosons in an optical lattice
• Magnetic phases of two-component ultracold bosons in an optical lattice
• Superfluid-Superfluid Phase Transitions in Two-Component Bose System
• Counterflow and paired superfluidity in one-dimensional Bose mixtures in optical lattices
• Cluster Gutzwiller method for bosonic lattice systems
• Phase separation in a two species Bose mixture
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Some remarks on the coherent-state variational approach to nonlinear boson models
• Demixing Effects in Mixtures of Two Bosonic Species
• Phase separations of bosonic mixtures in optical lattices from macroscopic to microscopic scales
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
• Quantum Phases of Bose-Hubbard Model in Optical Superlattices
• Mixing, demixing, and structure formation in a binary dipolar Bose-Einstein condensate
• The role of anisotropy in dipolar bosons in triple-well potentials
• Phase separation can be stronger than chaos
• Strong-coupling expansion for the two-species Bose-Hubbard model
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• Borromean droplet in three-component ultracold Bose gases
• Mott Insulator to Superfluid transition in Bose-Bose mixtures in a two-dimensional lattice
• Quantum Gutzwiller approach for the two-component Bose-Hubbard model
• Polarons and their induced interactions in highly imbalanced triple mixtures
• Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
• Quantum properties of a binary bosonic mixture in a double well
• Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Interspecies entanglement with impurity atoms in a lattice gas
• Comment on "Phase separation in a two-species Bose mixture"
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices

Cited by in corpus (4)

• Properties of a trapped multiple-species bosonic mixture at the infinite-particle-number limit: A solvable model
• Effective approaches to the dynamical properties of two distinguishable Bose polarons
• Fragmentation of a trapped multiple-species bosonic mixture
• Ground-state phase diagram of two-component interacting bosons on a two-leg ladder