Detecting quantumness in uniform precessions

Abstract

Building on work by Tsirelson, we present a family of protocols that detect the nonclassicality of suitable states of a single quantum system, under the sole assumption that the measured dynamical observable undergoes a uniform precession. The case of the harmonic oscillator was anticipated in the work by Tsirelson, which we extend. We then apply the protocols to finite-dimensional spins that undergo uniform precession in real space and find a gap between the classical and the quantum expectations for every $j\ge \frac{3}{2}$ (excluding $j=2$).

17 pages, 4 figures. To appear in Physical Review A

References in corpus (1)

• Levitodynamics: Levitation and control of microscopic objects in vacuum

Cited by in corpus (2)

• Dynamics-Based Entanglement Witnesses for Non-Gaussian States of Harmonic Oscillators
• Dynamics-based quantumness certification of continuous variables using time-independent Hamiltonians with one degree of freedom