论文标题
在没有对称性的无对称性振荡器系统中，自发对称性出现
Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
论文作者
论文摘要
在对称系统中，自发对称性破坏是伴随二阶相变的基石现象。在这里，我们预测了缺乏对称性的系统中相反的现象，即自发对称性出现。在两个耦合振荡器与一组振荡器之间相互作用的耦合振荡器的示例中，频率均匀地填充有限的频率范围，我们证明了系统状态可以获取汉密尔顿系统中固有的对称性。对称性的出现表现为系统动力学的变化，可以将其解释为缺乏对称性的Hermitian系统中的相变。
Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks symmetry. In the example of two coupled oscillators interacting non-symmetrically with a set of oscillators whose frequencies uniformly fill a finite frequency range, we demonstrate that the system state can acquire symmetry that is not inherent in the system Hamiltonian. The emergence of symmetry is manifested as a change in the system dynamics, which can be interpreted as a phase transition in a Hermitian system that lacks symmetry.
