Two types of phase diagrams for two-species Bose-Einstein condensates

Abstract

Under the Thomas-Fermi approximation, a relatively much simpler analytical solutions of the coupled Gross-Pitaevskii equations for the two-species BEC have been derived. Additionally, a model for the asymmetric states has been proposed, and the competition between the symmetric and asymmetric states has been evaluated. The whole parameter-space is divided into zones, each supports a specific phase, namely, the symmetric miscible phase, the symmetric immiscible phase, or the asymmetric phase. Based on the division the phase-diagrams against any set of parameters can be plotted. Thereby, the effects of these parameters can be visualized. There are three critical values in the inter-species interaction and one in the ratio of particle numbers $N_A/N_B$. They govern the transitions between the phases. Two cases, (i) the repulsive $V_{AB}$ matches the repulsive , and (ii) the attractive $V_{AB}$ nearly cancels the effect of the repulsive $V_A+V_B$ have been particularly taken into account. The former leads to a complete separation of the two kinds of atoms , while the latter lead to a collapse. Finally, based on an equation derived in the paper, a convenient experimental approach is proposed to determine the ratio of particle numbers .

8 pages, 5 figures

References in corpus (10)

• A High Phase-Space-Density Gas of Polar Molecules
• Ultracold heteronuclear molecules in a 3D optical lattice
• Association of ultracold double-species bosonic molecules
• Static interfacial properties of Bose-Einstein condensate mixtures
• A binary mixture of spinor atomic Bose-Einstein condensates
• Critical wetting, first-order wetting and prewetting phase transitions in binary mixtures of Bose-Einstein condensates
• Beyond Thomas--Fermi analysis of the density profiles of a miscible two-component Bose--Einstein condensate
• Delocalization effects, entanglement entropy and spectral collapse of boson mixtures in a double well
• Three-dimensional quantum phase diagram of the exact ground states of a mixture of two species of spin-1 Bose gases with interspecies spin exchange
• Generalized Gross-Pitaevskii equation adapted to the $U(5)\supset SO(5)\supset SO(3)$ symmetry for spin-2 condensates

Cited by in corpus (2)

• Laser Control of Singlet-Pairing Process in an Ultracold Spinor Mixture
• Binary Mixture of quasi one dimensional dipolar Bose Einstein Condensates with tilted dipoles