超重暗亮孤子作为谐波捕获玻色混合物中空间对称破缺转变的标志
Superheavy dark-bright soliton as a signature of spatial symmetry breaking transition in harmonically trapped Bose mixtures
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中文总结 AI 辅助
研究谐波捕获的两组分玻色 - 爱因斯坦凝聚体中暗亮孤子动力学，发现相互作用参数超阈值时其运动转变，有效孤子质量发散，通过构建函数和变分法揭示机制，得到相图并讨论对量子计量学的影响。
中文摘要 AI 辅助
我们研究了谐波捕获的两组分玻色 - 爱因斯坦凝聚体中暗亮孤子的动力学，揭示了由非线性相互作用驱动的有趣的自发空间对称破缺。当相互作用参数超过阈值时，暗亮孤子的运动从关于原点的对称周期振荡转变为偏离原点的非对称振荡。特别是在转变点，由惯性质量与物理质量之比确定的有效孤子质量发散。通过构建试探波函数并采用拉格朗日变分法在准粒子图像中获得有效势来揭示其潜在机制，有效势从单阱变为双阱。异常的“超重孤子”现象是暗亮孤子物理质量在转变点消失的直接结果。我们得到了这种空间对称破缺转变的相图，并讨论了我们的发现对量子计量学的可能影响。
英文摘要
We investigate the dynamics of a dark-bright soliton in harmonically trapped two-component Bose-Einstein condensates and reveal an interesting spontaneous spatial symmetry breaking driven by nonlinear interactions. When the interaction parameter crosses a threshold value, we find that the dark-bright soliton's motion demonstrates a transition from symmetric periodic oscillation about the origin to asymmetric oscillations offset from the origin. In particular, at the transition point, the effective soliton mass, determined by the ratio of inertial mass to physical mass, diverges. The underlying mechanism is uncovered by constructing trial wave functions and employing the Lagrangian variational method to obtain an effective potential in the quasiparticle picture, which changes from a single well to a double well. The anomalous ``superheavy soliton'' phenomenon is a direct consequence of the dark-bright soliton's physical mass vanishing at the transition point. We obtain the phase diagram of this spatial symmetry-breaking transition. Possible implications of our finding for quantum metrology are discussed.
