2022 CAP Congress / Congrès de l'ACP 2022

(G*) Stellar representation of extremal Wigner-negative spin states

8 Jun 2022, 16:00

15m

MDCL 1008 (McMaster University)

Oral Competition (Graduate Student) / Compétition orale (Étudiant(e) du 2e ou 3e cycle) Atomic, Molecular and Optical Physics, Canada / Physique atomique, moléculaire et photonique, Canada (DAMOPC-DPAMPC) W3-9 Laser Development (DAMOPC) | Progrès dans les lasers (DPAMPC)

Speaker

Jack Davis

Description

The Majorana stellar representation is used to characterize maximally Wigner-negative spin states with respect to the SU(2)-covariant Wigner function. Comparisons are made to alternative definitions of nonclassicality, including anticoherence, the geometric measure of entanglement, and $P$-representability. Despite varying low-dimensional agreement between these definitions, the maximally Wigner-negative states are generally found to disagree with the others, with their higher order constellations not corresponding to a Platonic solid when available, or any other similar geometric embedding. We further find for spin systems with $j\le \frac{7}{2}$ that random constellations/states are not particularly Wigner-negative relative to the maximum. we will also review our proof that all spin coherent states of arbitrary dimension are not positive-definite.