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

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

2010-01-29

arxiv.org/abs/1001.5335v1

Phys. Rev. A 81, 033603 (2010)

Physics

Condensed Matter

Quantum Gases

5 pages, no figures

Scientific paper

10.1103/PhysRevA.81.033603

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.

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