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arXiv 2008.12609cond-mat.quant-gasnlin.PS
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自旋1玻色气体中的暗-反暗旋量孤子

Dark-Antidark Spinor Solitons in Spin-1 Bose Gases

C. -M. Schmied, P. G. Kevrekidis

摘要:

我们考虑一个一维被困自旋1玻色气体和数值探索其孤立波解,即反暗-暗-反暗(ADDAD),以及暗-反暗-暗(DADD)孤立波的家庭。它们的存在性和稳定性进行了系统的研究,通过在实验上可访问的易平面铁磁相的原子数以及二次塞曼能量的延续。据发现,ADDAD的动态鲁棒性大大超过DADD。后者通常是不稳定的检查参数范围内。这两种状态的动力学演化进行了探索,并研究了其潜在的不稳定演化的含义。一些相关的观察到的可能性涉及,例如,ADDAD的不稳定性破坏表现,以及DADD分裂成右移动的暗-反暗对和左移动的暗-反暗对,与分裂前相比,反暗粒子位于不同的分量中。在后一种情况下,结构被认为是分散在长时间的传播。

英文摘要:

We consider a one-dimensional trapped spin-1 Bose gas and numerically explore families of its solitonic solutions, namely antidark-dark-antidark (ADDAD), as well as dark-antidark-dark (DADD) solitary waves. Their existence and stability properties are systematically investigated within the experimentally accessible easy-plane ferromagnetic phase by means of a continuation over the atom number as well as the quadratic Zeeman energy. It is found that ADDADs are substantially more dynamically robust than DADDs. The latter are typically unstable within the examined parameter range. The dynamical evolution of both of these states is explored and the implication of their potential unstable evolution is studied. Some of the relevant observed possibilities involve, e.g., symmetry-breaking instability manifestations for the ADDAD, as well as splitting of the DADD into a right- and a left-moving dark-antidark pair with the anti-darks residing in a different component as compared to prior to the splitting. In the latter case, the structures are seen to disperse upon long-time propagation.

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