Anomalous Correlators, Negative Frequencies, and Non-Phase-Invariant Hamiltonians in Random Waves
We investigate a generic non-phase-invariant Hamiltonian model that governs the dynamics of nonlinear dispersive waves. We give evidence that initial data characterized by random phases naturally evolve into phase correlations between positive and negative wave numbers, leading to the emergence of nonzero anomalous correlators and negative frequencies. Using analytical techniques, we show that anomalous correlators develop on a timescale of O(1/ε), earlier than the kinetic timescale. Our theoretical predictions are validated through direct numerical simulations of the deterministic system.
Authors
- Giovanni Dematteis (ORCID: https://orcid.org/0000-0003-2918-8951)
- Alberto Villois (ORCID: https://orcid.org/0000-0001-6177-4147)
- Yuri V. Lvov (ORCID: https://orcid.org/0000-0003-2153-4047)
- Miguel Onorato (ORCID: https://orcid.org/0000-0001-9141-2147)
- Jalal Shatah (ORCID: https://orcid.org/0000-0003-3518-8069)
Institutions
- University of East Anglia (GB)
- Rensselaer Polytechnic Institute (US)
- Courant Institute of Mathematical Sciences (US)
- Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT)
- University of Turin (IT)
- New York University (US)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-10-16
- DOI
- https://doi.org/10.1103/3brq-j34x
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00