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arXiv 0704.0082cond-mat.othercond-mat.stat-mech
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旋量玻色-爱因斯坦凝聚体中有限背景下的物质波亮孤子

Matter-Wave Bright Solitons with a Finite Background in Spinor Bose-Einstein Condensates

Tetsuo Kurosaki, Miki Wadati

摘要:

基于与具有自聚焦非线性的矩阵非线性薛定谔方程等价的可积旋量模型,研究了F=1旋量玻色-爱因斯坦凝聚体(BEC)中有限背景亮孤子的动力学性质.我们应用逆散射方法制定的非零边界条件。所得的孤子解可以看作是消失边界条件下孤子解的推广。单孤子的解决方案是在一个明确的方式。根据其在无穷远处的行为,将其分为畴壁型和相移型两类。DW型意味着具有非零总自旋的铁磁状态,PS型意味着总自旋为零的极性状态。我们还讨论了两孤子碰撞。特别是,自旋混合现象被确认在涉及DW型碰撞。所得结果与前人对消失边界条件下的亮孤子和暗孤子的研究结果一致。结果证明了旋量BEC中多重物质波孤子的鲁棒性和有效性。

英文摘要:

We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor model which is equivalent to the matrix nonlinear Schrödinger equation with a self-focusing nonlineality. We apply the inverse scattering method formulated for nonvanishing boundary conditions. The resulting soliton solutions can be regarded as a generalization of those under vanishing boundary conditions. One-soliton solutions are derived in an explicit manner. According to the behaviors at the infinity, they are classified into two kinds, domain-wall (DW) type and phase-shift (PS) type. The DW-type implies the ferromagnetic state with nonzero total spin and the PS-type implies the polar state, where the total spin amounts to zero. We also discuss two-soliton collisions. In particular, the spin-mixing phenomenon is confirmed in a collision involving the DW-type. The results are consistent with those of the previous studies for bright solitons under vanishing boundary conditions and dark solitons. As a result, we establish the robustness and the usefulness of the multiple matter-wave solitons in the spinor BECs.

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