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

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

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Submission summary

Authors (as registered SciPost users): Guy Zisling
Submission information
Preprint Link:  (pdf)
Date accepted: 2021-03-31
Date submitted: 2021-03-23 09:26
Submitted by: Zisling, Guy
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


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.

List of changes

* added clarification that by reflection symmetry we mean parity.
* added explanation why it is difficult to go below 1/6 density, due to exponential growth of the Hilbert space size.
* added figures of both Gamma(omega) and the gap ratio in the long range model to the reply to Referee 2.

Published as SciPost Phys. 10, 088 (2021)

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