Effects of Parity-Deformed Heisenberg Algebra in the Dicke Model

Daniel Salazar camacho¹, Edward García¹, Edgar A. Gómez¹, Saravana Prakash Thirumuruganandham<sup>2

1</sup>Programa de Física, Universidad del Quindío, Quindío, Colombia

²Centro de Investigación de Ciencias Humanas y de la Educación (CICHE), Universidad Indoamérica, Ambato 180103, Ecuador

In scientific literature, the Dicke model consists of N two-level systems coupled to an optical nanocavity and exhibits fascinating phenomena such as quantum phase transition. In this system, the system can transition from a normal state to a superradiant state depending on the coupling strength between radiation and matter. This work presents a theoretical and computational study of a Dicke-type system, taking into account a parity deformation in the algebraic structure of the confined radiation mode of the nanocavity. In particular, the effect of parity deformation on different quantum phases is investigated by calculating observables of the system as a function of the coupling intensity between radiation and matter, subsystem entropy, Wigner functions, and Fock distributions for various deformation parameter values. Additionally, calculations of subsystem entropy as a function of the number of two-level systems are presented. It is found that parity deformation can induce significant changes in the Wigner functions and Fock states of the system.