Quantum speed limit vs. classical displacement energy

TL;DR

This paper explores the connection between symplectic displacement energy and quantum speed limits, using Berezin-Toeplitz quantization to bridge classical and quantum frameworks.

Contribution

It establishes a formal link between symplectic topology and quantum physics through the quantum-classical correspondence.

Findings

Identifies a relationship between symplectic displacement energy and quantum speed limits

Uses Berezin-Toeplitz quantization to formalize quantum-classical correspondence

Provides insights into fundamental constraints on quantum process speeds

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.