论文标题

有多少个颗粒构成混乱的多体量子系统?

How many particles make up a chaotic many-body quantum system?

论文作者

Zisling, Guy, Santos, Lea F., Lev, Yevgeny Bar

论文摘要

我们从数值上研究了相互作用的粒子的最小数量,这对于具有短距离和远距离相互作用的一维晶格中量子系统中强混乱的发作是必需的。我们考虑了多个系统尺寸,这些系统尺寸至少比颗粒数量大三倍,发现在短距离相互作用的情况下,量子混乱的稳健特征少于4个颗粒,而短距离相互作用的3个粒子却不明显地依赖于系统的大小。

We numerically investigate the minimum number of interacting particles, which is required for the onset of strong chaos in quantum systems on a one-dimensional lattice with short-range and long-range interactions. We consider multiple system sizes which are at least three times larger than the number of particles and find that robust signatures of quantum chaos emerge for as few as 4 particles in the case of short-range interactions and as few as 3 particles for long-range interactions, and without any apparent dependence on the size of the system.

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