Bosonic binary mixtures with Josephson-type interactions

Abstract

Motivated by experiments in bosonic mixtures composed of a single element in two different hyperfine states, we study bosonic binary mixtures in the presence of Josephson interactions between species. We focus on a particular model with $O(2)$ isospin symmetry, lifted by an imbalanced population parametrized by a Rabi frequency, ${\Omega }_R$, and a detuning, $\nu$, which couples the phases of both species. We have studied the model at mean-field approximation plus Gaussian fluctuations. We have found that both species simultaneously condensate below a critical temperature $T_c$ and the relative phases are locked by the applied laser phase, $\alpha$. Moreover, the condensate fractions are strongly dependent on the ratio ${\Omega }_R/|\nu |$ that is not affected by thermal fluctuations.

21 pages, 4 figures. Final version accepted for publication in Physica A

References in corpus (9)

• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Two-species fermion mixtures with population imbalance
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
• Large-N approximation for single- and two-component dilute Bose gases
• Effective Potential and Thermodynamics for a Coupled Two-Field Bose Gas Model
• Inverse Symmetry Breaking in Multi-Scalar Field Theories
• Spin-driven spatial symmetry breaking of spinor condensates in a double-well