$q$-deformed quadrature operator and optical tomogram

M.P. Jayakrishnan , Sanjib Dey (1, 2) , Mir Faizal , C. Sudheesh

1 IHES - Institut des Hautes Études Scientifiques
2 IHP - Institut Henri Poincaré

In this paper, we define the homodyne q -deformed quadrature operator and find its eigenstates in terms of the deformed Fock states. We find the quadrature representation of q -deformed Fock states in the process. Furthermore, we calculate the explicit analytical expression for the optical tomogram of the q -deformed coherent states.

Mots clés: Quantum tomography; Quadrature operator; Deformed coherent states

Domaines: Physique Générale [physics.gen-ph]; Physique mathématique [math-ph]

M.P. Jayakrishnan, Sanjib Dey, Mir Faizal, C. Sudheesh. $q$-deformed quadrature operator and optical tomogram. Annals Phys., 2017, 385, pp.584-590. ⟨10.1016/j.aop.2017.08.016⟩. ⟨hal-01645490⟩