Relativistic k-fields with Massless Soliton Solutions in 3+1 Dimensions

二元波导阵列中相对论性狄拉克孤子的光学模拟

Optical analogue of relativistic Dirac solitons in binary waveguide arrays

本文用解析和数值方法研究了在克尔非线性作用下二元波导阵列中的光模拟狄拉克孤子。解析推导了描述阵列动力学的耦合模方程的伪相对论孤子解。我们证明，与所发现的孤子解，耦合模方程可以转换为非线性相对论一维狄拉克方程。这为使用二元波导阵列作为狄拉克方程产生的量子非线性效应的经典模拟器铺平了道路，这在传统的（即线性的）量子场论中被认为是不可能实现的。

选择相对论孤子速度的对称性破缺机制

A symmetry breaking mechanism for selecting the speed of relativistic solitons

基于sine-Gordon（SG）模型的洛伦兹对称性破缺，提出了一种相对论孤子速度固定的机制。该方案首先阐述了一个分子链模型，作为双摆链的单摆极限。然后，它被推广到一个完整的类的二维场论的sine-Gordon型。从唯象的观点来看，该机制允许人们通过调节弹性耦合常数和运动学参数来选择SG孤子的速度。从一个基本的，场论的角度来看，我们表明，相对论SG孤子的特征（保守的拓扑电荷和稳定性的存在）可能仍然保留，即使洛伦兹对称性被打破，并选择一个给定的速度的孤子。

Tzitzeica孤子与相对论Calogero-Moser三体团簇

Tzitzeica solitons vs. relativistic Calogero-Moser 3-body clusters

建立了双曲相对论Calogero-Moser系统与Tzitzeica方程（又称Dodd-Bullough-Zhiber-Shabat-Mikhailov方程）的一类孤子解之间的联系.在含有2N个粒子和$N$反粒子的相对论系统的6 N维相空间$Ω$中，存在一个2N维Poincaré不变子流形$Ω_P$，对应于基态的$N$自由粒子和$N$束缚粒子-反粒子对.所考虑的Tzitzeica $N$ -孤子τ-函数是实值的，并且通过在$Ω_P$的点处求值的对偶Lax矩阵获得。这种对应关系导致了这样一幅图景：孤立子是由两个粒子和一个处于最低内能状态的反粒子组成的团簇。

Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions

In this paper we present a new extended complex nonlinear Klein-Gordon Lagrangian density, which bears a single non-topological soliton solution with a specific rest frequency $ω_{s}$ in $1+1$ dimensions. There is a proper term in the new Lagrangian density, which behaves like a massless spook that surrounds the single soliton solution and opposes any internal changes. In other words, any arbitrary variation in the single soliton solution leads to an increase in the total energy. Moreover, just for the single soliton solution, the general dynamical equations are reduced to those versions of a …

掺杂石墨烯超材料中的太赫兹相对论空间孤子

Terahertz relativistic spatial solitons in doped graphene metamaterials

我们提出了一种电可调石墨烯基超材料，在太赫兹频率下显示出很大的非线性光学响应，据我们所知，这是我们第一次解析计算，并且来自带内电流。该结构维持一种新型的稳定的二维空间孤立波，一个相对论版本的汤斯孤子。这些结果也可以应用于任何材料表现出锥形色散与无质量狄拉克费米子。

Topological energy release from collision of relativistic antiferromagnetic solitons

Magnetic solitons offer functionalities as information carriers in multiple spintronic and magnonic applications. However, their potential for nanoscale energy transport has not been revealed. Here we demonstrate that antiferromagnetic solitons, e.g. domain walls, can uptake, transport and release energy. The key for this functionality resides in their relativistic kinematics; their self-energy increases with velocity due to Lorentz contraction of the soliton and their dynamics can be accelerated up to the effective speed of light of the magnetic medium. Furthermore, their classification in ro…