We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling 𝜈=1/2. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattices that are available in state-of-the-art experiments, away from the continuum limit. Experimentally accessible data related to the quantized value of the bulk transverse Hall conductivity are identified both in the linear and the non-linear response to an external excitation. The strong nonlinearity induced by the open boundaries is responsible for sizable quantum blockade effects, leading to the generation of nonclassical states of the edge modes.

中文翻译：

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小晶格中少粒子分数量子霍尔流体边缘的量子非线性光学


我们研究了量子动力学对填充 ν=1/2 时由玻色子 Laughlin 样状态的晶格上的少数粒子组成的小分数量子霍尔流体边缘模式的瞬态外势的响应。我们表明，非线性手性 Luttinger 液体理论提供了定量准确的描述，即使对于远离连续体极限的最先进实验中可用的小晶格也是如此。与体横向霍尔电导率的量化值相关的实验可访问数据在对外部激励的线性和非线性响应中均得到识别。开放边界引起的强非线性导致了相当大的量子封锁效应，导致边缘模式的非经典状态的产生。