Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform

TL;DR

This paper experimentally investigates the classical dynamics and phase transitions of a deformed Dicke model using a reconfigurable electronic platform, revealing symmetry-breaking effects, phase diagrams, and chaos onset.

Contribution

It presents the first experimental implementation of a classical deformed Dicke model with bi-parametric control, linking theoretical predictions to observable phenomena in electrical circuits.

Findings

Observation of symmetry-breaking effects in energy wells

Mapping of phase diagram as a function of coupling and deformation

Experimental detection of chaos onset in the system

Abstract

We experimentally study the infinite-size limit of the Dicke model of quantum optics with a parity-breaking deformation strength that couples the system to an external bosonic reservoir. We focus on the dynamical consequences of such symmetry-breaking, which makes the classical phase space asymmetric with non-equivalent energy wells. We present an experimental implementation of the classical version of the deformed Dicke model using a state-of-the-art bi-parametric electronic platform. Our platform constitutes a playground for studying representative phenomena of the deformed Dicke model in electrical circuits with the possibility of externally controlling parameters and initial conditions. In particular, we investigate the dynamics of the ground state, various phase transitions, and the asymmetry of the energy wells as a function of the coupling strength $\gamma$ and the deformation strength $\alpha$ in the resonant case. Additionally, to characterize the various behavior regimes, we present a two-dimensional phase diagram as a function of the two intrinsic system parameters. The onset of chaos is also analyzed experimentally. Our findings provide a clear connection between theoretical predictions and experimental observations, demonstrating the usefulness of our bi-parametric electronic setup.