Quantum states of a binary mixture of spinor Bose-Einstein condensates

Abstract

We study the structure of quantum states for a binary mixture of spin-1 atomic Bose-Einstein condensates. In contrast to collision between identical bosons, the s-wave scattering channel between inter-species does not conform to a fixed symmetry. The spin-dependent Hamiltonian thus contains non-commuting terms, making the exact eigenstates more challenging to obtain because they now depend more generally on both the intra- and inter-species interactions. We discuss two limiting cases, where the spin-dependent Hamiltonian reduces respectively to sums of commuting operators. All eigenstates can then be directly constructed, and they are independent of the detailed interaction parameters.

5 pages, no figures

References in corpus (6)

• Bose-Einstein condensation of chromium
• Tuning the scattering length with an optically induced Feshbach resonance
• Double species condensate with tunable interspecies interactions
• Fragmentation of Bose-Einstein Condensates
• Bose-Einstein Condensation with Entangled Order Parameter
• A binary mixture of spinor atomic Bose-Einstein condensates

Cited by in corpus (3)

• 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
• Spontaneously axisymmetry breaking phase in a binary mixture of spinor Bose-Einstein condensates
• Interspecies singlet pairing in a mixture of two spin-1 Bose condensates