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.

12 pages, 6 figures

References in corpus (12)

• Double species condensate with tunable interspecies interactions
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• 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
• Phase separations of bosonic mixtures in optical lattices from macroscopic to microscopic scales
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• Quantum Gutzwiller approach for the two-component Bose-Hubbard model
• Inducing spin-order with an impurity: phase diagram of the magnetic Bose polaron
• Comment on "Phase separation in a two-species Bose mixture"

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• Fragmentation of a trapped multiple-species bosonic mixture
• Ground-state phase diagram of two-component interacting bosons on a two-leg ladder