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Integrable fishnet circuits and Brownian solitons
by Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Benjamin J. A. Héry, Vincent Pasquier
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Submission summary
| Authors (as registered SciPost users): | Žiga Krajnik |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2411.08030v4 (pdf) |
| Date accepted: | July 1, 2025 |
| Date submitted: | May 7, 2025, 5:24 p.m. |
| Submitted by: | Krajnik, Žiga |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamiltonian dynamics with arbitrarily time-varying coupling constants. Time evolution is generated by passing an auxiliary degree of freedom along the lattice, resulting in a `fishnet' circuit structure. We construct integrable circuits consisting of Yang-Baxter maps and demonstrate their general properties, using the Toda and anisotropic Landau-Lifschitz models as examples. Upon stochastically rescaling time, the dynamics is dominated by fluctuations and we observe solitons undergoing Brownian motion.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
List of changes
- Stochastic dynamics given in terms of observables to avoid confusion.
- Minor clarifications.
Published as SciPost Phys. 19, 027 (2025)
Reports on this Submission
Report #3 by Yuan Miao (Referee 1) on 2025-6-14 (Invited Report)
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