16 papers
Wigner negativity and stellar rank for SU(1,1) states
A. B. Klimov, A. Muñoz, G. Leuchs +3
Quasiprobability distributions for systems endowed with SU(1,1) dynamical symmetry have received surprisingly little attention, despite the central role of this symmetry in two-pho…
The de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan
We show that scalar discrete-series unitary irreducible representations (UIRs) () of the de Sitter (dS) group admit a dS-covariant Kre…
Quantum mechanics over real numbers fully reproduces standard quantum theory
Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau
Standard quantum mechanics employs complex Hilbert spaces, but whether complex numbers are fundamental or merely convenient has long been debated. For decades, real-valued equivale…
Infrared Spectral Gap in a Gluonic Dark Sector and the Galactic Acceleration Scale
Gilles Cohen-Tannoudji, Jean-Pierre Gazeau, Hamed Pejhan +1
We further develop a trace-anomaly-motivated gluonic scenario in which cold dark matter (CDM) is modeled as a long-lived color-singlet Bose-Einstein condensate seeded at the QCD co…
Spectral-angular parametrization of open qudit dynamics
Jean-Pierre Gazeau, Kaoutar El Bachiri, Zakaria Bouameur +1
We present a parametrization of density matrices (mixed states) in a finite-dimensional Hilbert space , particularly suited to the description of their time evolution…
Finite-resolution measurement induces topological curvature defects in spacetime
Ewa Czuchry, Jean-Pierre Gazeau
We show that regularizing -dimensional Minkowski spacetime with a finite-resolution Gaussian probe, analogous to Weyl-Heisenberg (Gabor) signal analysis and related quantiza…