论文标题
具有高度对称性的系统中的量子混乱
Quantum chaos in a system with high degree of symmetries
论文作者
论文摘要
我们研究了多体量子力学中最相关的模型之一，即Bose-Hubbard模型，量子混乱的动态特征，其高度的对称性产生了大量不变子空间和退化的能级。虽然揭示量子混乱签名的标准程序需要根据其对称性对能级进行分类，但我们表明，在生存概率的时间演化中，这种分类不是获得光谱相关性的表现。我们的发现表现出生存概率是检测量子混乱存在的强大工具，避免了与确定一组完整的能量本征态及其对称分类相关的实验和理论挑战。
We study dynamical signatures of quantum chaos in one of the most relevant models in many-body quantum mechanics, the Bose-Hubbard model, whose high degree of symmetries yields a large number of invariant subspaces and degenerate energy levels. While the standard procedure to reveal signatures of quantum chaos requires classifying the energy levels according to their symmetries, we show that this classification is not necessary to obtain manifestation of spectral correlations in the temporal evolution of the survival probability. Our findings exhibit the survival probability as a powerful tool to detect the presence of quantum chaos, avoiding the experimental and theoretical challenges associated with the determination of a complete set of energy eigenstates and their symmetry classification.
