2+1维阿贝尔规范理论中任意整数自旋的量子多体疤痕
Quantum Many-Body Scars for Arbitrary Integer Spin in 2+1D Abelian Gauge Theories
AI总结：
本文通过解析构造证明任意整数自旋的2+1维阿贝尔规范理论中广泛存在量子多体疤痕，并用数值模拟验证，为量子模拟非平衡现象提供指导。
摘要：
量子多体疤痕的存在——它能在长时间后阻止某些初始态热化——已在不同的量子多体系统中得到确立，其中包括对应于自旋-1/2量子链接模型的规范理论。在具有高自旋的规范理论中确立量子疤痕，是现有依赖精确对角化的数值方法无法实现的。我们系统地识别了2+1维中具有任意大整数自旋S的纯规范理论的疤痕，其中每条链路上的电场被限制为2S+1个态。通过显式的解析构造，我们证明了疤痕在任意整数自旋的2+1维规范理论中广泛存在。我们通过小截断自旋和S=1量子链接模型的数值计算证实了这些发现。我们的解析构造确立了疤痕的存在性，其范围远超现有数值方法所能探测的体积和自旋，并可为量子模拟实验指引方向，使其探索那些否则无法触及的有趣非平衡现象。
英文摘要：
The existence of Quantum Many-Body Scars, which prevents thermalization from certain initial states after a long time, has been established across different quantum many-body systems. These include gauge theories corresponding to spin-1/2 quantum link models. Establishing quantum scars in gauge theories with high spin is not accessible with existing numerical methods, which rely on exact diagonalization. We systematically identify scars for pure gauge theories with arbitrarily large integer spin $S$ in $2+1$D, where the electric field is restricted to $2S+1$ states per link. Through an explicit analytic construction, we show that the presence of scars is widespread in $2+1$D gauge theories for arbitrary integer spin. We confirm these findings numerically for small truncated spin and $S=1$ quantum link models. Our analytic construction establishes the presence of scars far beyond volumes and spins that can be probed with existing numerical methods and can guide quantum simulation experiments toward interesting non-equilibrium phenomena, inaccessible otherwise.
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