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Chaos enhancement in large-spin chains

by Yael Lebel, Lea F. Santos, Yevgeny Bar Lev

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Submission summary

Authors (as registered SciPost users): Yevgeny Bar Lev
Submission information
Preprint Link: scipost_202303_00038v1  (pdf)
Date accepted: 2023-05-22
Date submitted: 2023-03-30 10:23
Submitted by: Bar Lev, Yevgeny
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical


We study the chaotic properties of a large-spin XXZ chain with onsite disorder and a small number of excitations above the fully polarized state. We show that while the classical limit, which is reached for large spins, is chaotic, enlarging the spin suppresses quantum chaos features. We examine ways to facilitate chaos by introducing additional terms to the Hamiltonian. Interestingly, perturbations that are diagonal in the basis of product states in the z-direction do not lead to significant enhancement of chaos, while off-diagonal perturbations restore chaoticity for large spins, so that only three excitations are required to achieve strong level repulsion and ergodic eigenstates.

List of changes

**Major revision following the referee reports.**

- changes in the abstract and the main text as a result of questions raised by the referees
- added 3 references mentioned
- made the notations of the spin operators consistent in the entire manuscript
- improved readability of figures
- Fig 1. We have removed all averaging to make it clearer what is plotted
- Added Sec VI and Fig. 6: Large-spin limit, following further analysis in the very large spins
- style adjustments and typos corrections in the entire manuscript

Published as SciPost Phys. 15, 022 (2023)

Reports on this Submission

Anonymous Report 1 on 2023-4-22 (Invited Report)


The points I raised in my initial report were reasonably addressed and specific points were clarified.

  • validity: high
  • significance: good
  • originality: good
  • clarity: good
  • formatting: excellent
  • grammar: excellent

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