Exact solution of strongly interacting quasi-one-dimensional spinor Bose gases.
Exact solution of strongly interacting quasi-one-dimensional spinor Bose gases.
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DOI：
10.1103/physrevlett.100.160405
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发表时间：
2007-08
影响因子：
8.6
通讯作者：
F. Deuretzbacher;Klaus Fredenhagen;Daniel Becker;K. Bongs;K. Sengstock;D. Pfannkuche
中科院分区：
文献类型：
--
作者：
F. Deuretzbacher;Klaus Fredenhagen;Daniel Becker;K. Bongs;K. Sengstock;D. Pfannkuche
本文给出了具有无穷δ排斥的准一维自旋1玻色子基本系统的精确解析解。本征函数是根据Girardeau的Fermi-Bose映射，由无自旋费米子的波函数构造的。我们表明，旋量玻色子的行为就像一个化合物的非相互作用的无自旋费米子和非相互作用的可区分的自旋。这种二重性特别反映在自旋密度和能谱上。我们发现本征态的动量分布依赖于自旋函数的对称性。此外，我们还讨论了在大而有限的排斥作用下基态多重态的分裂。
We present an exact analytical solution of the fundamental system of quasi-one-dimensional spin-1 bosons with infinite delta repulsion. The eigenfunctions are constructed from the wave functions of noninteracting spinless fermions, based on Girardeau's Fermi-Bose mapping. We show that the spinor bosons behave like a compound of noninteracting spinless fermions and noninteracting distinguishable spins. This duality is especially reflected in the spin densities and the energy spectrum. We find that the momentum distribution of the eigenstates depends on the symmetry of the spin function. Furthermore, we discuss the splitting of the ground state multiplet in the regime of large but finite repulsion.