论文标题

横向场中的量子多体疤痕Ising梯子及以后

Quantum many-body scars in transverse field Ising ladders and beyond

论文作者

van Voorden, Bart, Minář, Jiří, Schoutens, Kareljan

论文摘要

我们在梯子上识别横向场量子ISING模型中的量子多体疤痕。我们可以通过将准粒子激发近近似于确切的,零能量的特征态(即价键固体类型)来估算相应的多体本征的相应(中频谱,低纠缠)多体征态。接下来,我们提出一个系统的系统构造,该产品状态在弱横向场的极限下以较高的状态峰值峰值峰值来表征。我们描述了这些“峰值状态”的构建如何概括为任意维度,并表明在梯子上以系统大小为黄金比率的正方形。

We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle excitations into an exact, zero-energy eigenstate, which is of valence bond solid type. Next, we present a systematic construction of product states characterized, in the limit of a weak transverse field, by a sharply peaked local density of states. We describe how the construction of these "peak states" generalizes to arbitrary dimension and show that on the ladder their number scales with system size as the square of the golden ratio.

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