Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators
Laurent Amour, Pierre Levy-Bruhl, Jean Nourrigat
TL;DR
This paper investigates the dynamics and Lieb-Robinson bounds for infinite lattices of interacting anharmonic oscillators, establishing foundational estimates for their behavior within a specific algebra of observables.
Contribution
It provides the first rigorous analysis of Lieb-Robinson bounds for anharmonic oscillator lattices, extending previous results from harmonic systems.
Findings
Existence of dynamics for the lattice system.
Lieb-Robinson bounds established for the model.
Framework applicable to a broad class of anharmonic interactions.
Abstract
For a class of infinite lattices of interacting anharmonic oscillators, we study the existence of the dynamics, together with Lieb-Robinson bounds, in a suitable algebra of observables
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Nonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems