标题： 阿哈罗诺夫-玻姆笼的非线性对称性破缺 显示英文标题

标题： Nonlinear symmetry breaking of Aharonov-Bohm cages

摘要： 我们研究平均场三次非线性对具有合成磁通量的金刚石晶格中Aharonov-Bohm束缚的影响。对于足够弱的非线性，Aharonov-Bohm束缚作为周期性的非线性呼吸动力学持续存在。在临界非线性以上，对称性破缺引起动力学的急剧转变，并促进更强的波包扩散。这种转变不同于其他平坦带网络，其中连续扩散由有效的非线性跃迁或与扩展模式的共振引起，并且与量子极限相反，在量子极限中，双粒子跃迁允许任意大的扩散。这种非线性对称性破缺转变在飞秒激光写入的波导阵列中易于观察。 显示英文摘要

摘要： We study the influence of mean field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wavepacket spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes, and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry breaking transition is readily observable in femtosecond laser-written waveguide arrays.