Maths-type q-deformed coherent states for q > 1

Abstract

Maths-type q-deformed coherent states with $q>1$ allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both position and momentum and are intelligent coherent states for the corresponding deformed Heisenberg algebra.

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• $q$-deformed quadrature operator and optical tomogram
• Generalized photon-subtracted squeezed vacuum states
• Geometrical and physical properties of maths-type q-deformed coherent states for $0<q<1$ or $q>1$
• Time correlation functions and Fisher zeros for q-deformed Bose gas
• Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
• An introductory review on resource theories of generalized nonclassical light
• Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra