Quantum speed limit vs. classical displacement energy

Abstract

We discuss a link between symplectic displacement energy, a fundamental notion of symplectic topology, and the quantum speed limit, a universal constraint on the speed of quantum-mechanical processes. The link is provided by the quantum-classical correspondence formalized within the framework of the Berezin-Toeplitz quantization.

Revised version, 56 pages

References in corpus (1)

• Non-classicality criteria from phase-space representations and information-theoretical constraints are maximally inequivalent