Quantum many-body scars in a Landau level on a thin torus
Quantum many-body scars in a Landau level on a thin torus
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DOI：
10.1103/physrevb.102.195150
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发表时间：
2019-06
期刊：
影响因子：
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通讯作者：
Sanjay Moudgalya;B. Bernevig;N. Regnault
中科院分区：
文献类型：
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作者：
Sanjay Moudgalya;B. Bernevig;N. Regnault
我们研究了量子霍尔效应中朗道能级内出现的动力学约束对跳模型。在填充$\nu = 1/3$时，该模型精确地映射到所谓的“PXP模型”，这是里德伯原子链的约束模型，在数值上已知在光谱中间或量子多体伤痕中表现出违反eth的状态。事实上，特定的电荷密度波结构表现出与PXP模型中相同的复苏。我们将该映射推广到填充因子$\nu = p/(2p+1)$，并证明了该模型等价于特定约束Krylov Hilbert空间内的不可积自旋链。这些导致了量子多体伤痕的新例子，其表现为特定电荷密度波态的恢复和缓慢热化。最后，我们研究了分数量子霍尔物理激发的哈密顿扰动下量子伤痕的稳定性。
We study a kinetically constrained pair hopping model that arises within a Landau level in the quantum Hall effect. At filling $\nu = 1/3$, the model exactly maps onto the so-called ``PXP model", a constrained model for the Rydberg atom chain that is numerically known to exhibit ETH-violating states in the middle of the spectrum or quantum many-body scars. Indeed, particular charge density wave configurations exhibit the same revivals seen in the PXP model. We generalize the mapping to fillings factors $\nu = p/(2p+1)$, and show that the model is equivalent to non-integrable spin-chains within particular constrained Krylov Hilbert spaces. These lead to new examples of quantum many-body scars which manifest as revivals and slow thermalization of particular charge density wave states. Finally, we investigate the stability of the quantum scars under certain Hamiltonian perturbations motivated by the fractional quantum Hall physics.