$q$-deformed quadrature operator and optical tomogram

Abstract

In this letter, we define the homodyne $q$-deformed quadrature operator. Analytic expression for the wavefunctions of $q$-deformed oscillator in the quadrature basis are found. Furthermore, we compute the explicit analytical expression for the tomogram of the $q$-deformed coherent states by finding the eigenstates of the $q$-deformed quadrature operator.

References in corpus (2)

• q-deformed noncommutative cat states and their nonclassical properties
• Time-dependent q-deformed coherent states for generalized uncertainty relations

Cited by in corpus (6)

• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Dynamics of observables in a $q$-deformed harmonic oscillator
• An introductory review on resource theories of generalized nonclassical light
• Time correlation functions and Fisher zeros for q-deformed Bose gas
• Construction of Quantum Target Space from World-Sheet States using Quantum State Tomography
• Janus-faced tomograms and retrieval of quadrature moments for $q$-deformed states