TL;DR
This paper investigates how quantum Toeplitz observables evolve under complex linear canonical transformations, linking their propagation to non-local expressions and the Weyl symbolic framework.
Contribution
It introduces a novel analysis of quantum Toeplitz observable propagation through complex canonical transformations and connects it with Weyl symbolic methods.
Findings
Derived a non-local Toeplitz expression for propagated observables
Established links between Toeplitz propagation and Weyl symbolism
Provided insights into quantum complex flow dynamics
Abstract
We study the propagation of quantum T{\"o}plitz observables through quantized complex linear canonical transformation of one degree of freedom systems. We associate to such a propagated observable a non local "T{\"o}plitz'' expression involving off diagonal terms. We study the link of this constrauction with the usual Weyl symbolic paradigm.
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
TopicsQuantum chaos and dynamical systems · Quantum many-body systems · Algebraic structures and combinatorial models