论文标题
量规场维持的稳定非线性模式
Stable nonlinear modes sustained by gauge fields
论文作者
论文摘要
我们揭示了量规场对旋转多维非线性schrödinger方程中孤子的存在，进化和稳定性的普遍影响。 Focusing on the two-dimensional case, we show that when gauge field can be split in a pure gauge and a \rtext{non-pure gauge} generating \rtext{effective potential}, the roles of these components in soliton dynamics are different: the \btext{localization characteristics} of emerging states are determined by the curvature, while pure gauge affects the stability of the modes.分别可以将溶液准确地表示为独立于纯量规，调节固定载体模式状态的信封，这些载体模式与曲率无关。我们的核心发现是，非零曲率可以导致异常模式的存在，尤其是在媒体中具有稳定的局部自我捕获的基本和涡旋式的态度，具有持续不断的排斥相互作用，而无需其他外部限制电位，甚至在驱逐性的外部陷阱中也是如此。
We reveal the universal effect of gauge fields on the existence, evolution, and stability of solitons in the spinor multidimensional nonlinear Schrödinger equation. Focusing on the two-dimensional case, we show that when gauge field can be split in a pure gauge and a \rtext{non-pure gauge} generating \rtext{effective potential}, the roles of these components in soliton dynamics are different: the \btext{localization characteristics} of emerging states are determined by the curvature, while pure gauge affects the stability of the modes. Respectively the solutions can be exactly represented as the envelopes independent of the pure gauge, modulating stationary carrier-mode states, which are independent of the curvature. Our central finding is that nonzero curvature can lead to the existence of unusual modes, in particular, enabling stable localized self-trapped fundamental and vortex-carrying states in media with constant repulsive interactions without additional external confining potentials and even in the expulsive external traps.
