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

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.

Automated summary

According to our numerical investigation, as few as 4 particles in the case of short-range interactions and as few as 3 particles for long-range interactions are required for the onset of strong chaos in quantum systems on a one-dimensional lattice. The robust signatures of quantum chaos emerge without any apparent dependence on the size of the system, for multiple system sizes which are at least three times larger than the number of particles.