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Chaos enhancement in large-spin chains
by Yael Lebel, Lea F. Santos, Yevgeny Bar Lev
This Submission thread is now published as
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 |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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)