论文标题

平板量子疤痕

Flat Band Quantum Scar

论文作者

Kuno, Yoshihito, Mizoguchi, Tomonari, Hatsugai, Yasuhiro

论文摘要

我们表明,可以在平坦的频带系统中构建量子疤痕状态,即嵌入多体能量谱的非典型本征征局体的热态热假说。我们构建的关键思想是利用正交紧凑的局部状态。我们具体地讨论了我们的施工方案,以锯齿齿平坦的晶格系统为例,并以数值证明存在量子疤痕状态。还解决了高维系统的示例。我们的量子疤痕的施工方法对各种平面系统都有广泛的应用。

We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of orthogonal compact localized states. We concretely discuss our construction scheme, taking a saw-tooth flat lattice system as an example, and numerically demonstrate the presence of a quantum scar state. Examples of higher-dimensional systems are also addressed. Our construction method of quantum scar has broad applications to various flat band systems.

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