https://doi.org/10.1140/epjp/s13360-023-04391-6
Regular Article
Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform
1
Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Boulevard Juriquilla 3001, 76230, Juriquilla, Querétaro, Mexico
2
Instituto de Estructura de la Materia, IEM-CSIC, Serrano 123, 28006, Madrid, Spain
3
Grupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Complutense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain
4
Departamento de Estructura de la Materia, Física Térmica y Electrónica, Universidad Complutense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain
5
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510, Cd. Mx., Mexico
Received:
18
March
2023
Accepted:
17
August
2023
Published online:
1
September
2023
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 
and the deformation strength 
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.
Mario A. Quiroz-Juárez and Ángel L. Corps have contributed equally to this work.
© The Author(s) 2023
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