English

Quantum speed limit vs. classical displacement energy

Mathematical Physics 2018-01-19 v2 math.MP Symplectic Geometry

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.

Cite

@article{arxiv.1609.05395,
  title  = {Quantum speed limit vs. classical displacement energy},
  author = {Laurent Charles and Leonid Polterovich},
  journal= {arXiv preprint arXiv:1609.05395},
  year   = {2018}
}

Comments

Revised version, 56 pages

R2 v1 2026-06-22T15:53:06.728Z