论文标题
量子场理论中的量子疤痕
Quantum Scars in Quantum Field Theory
论文作者
论文摘要
我们发展了量子场量疤痕的理论。通过将Heller和Bogomolny的形式概括从几个体量子力学到量子场，我们发现田间方程的不稳定的周期性经典解决方案以精确的方式印在能量本质函数上。这表明在某些能量尺度上的热化分解，可以通过半经典来表征。作为一个明确的例子，我们考虑了复杂标量场理论中的时间周期性孤子。我们发现，Q-balls的不稳定变体，称为Q-clouds，引起量子疤痕。我们工作的一些技术贡献包括表征现场理论中周期轨道模量空间的方法，这对于制定我们的量子疤痕公式至关重要。我们进一步讨论了与Rydberg原子阵列中量子多体疤痕的潜在连接。
We develop the theory of quantum scars for quantum fields. By generalizing the formalisms of Heller and Bogomolny from few-body quantum mechanics to quantum fields, we find that unstable periodic classical solutions of the field equations imprint themselves in a precise manner on bands of energy eigenfunctions. This indicates a breakdown of thermalization at certain energy scales, in a manner that can be characterized via semiclassics. As an explicit example, we consider time-periodic non-topological solitons in complex scalar field theories. We find that an unstable variant of Q-balls, called Q-clouds, induce quantum scars. Some technical contributions of our work include methods for characterizing moduli spaces of periodic orbits in field theories, which are essential for formulating our quantum scar formula. We further discuss potential connections with quantum many-body scars in Rydberg atom arrays.
