Experimental realization of the classical Dicke model
- URL: http://arxiv.org/abs/2002.11062v1
- Date: Tue, 25 Feb 2020 17:32:34 GMT
- Title: Experimental realization of the classical Dicke model
- Authors: Mario A. Quiroz-Ju\'arez, Jorge Ch\'avez-Carlos, Jos\'e L. Arag\'on,
Jorge G. Hirsch and Roberto de J. Le\'on-Montiel
- Abstract summary: We report the experimental implementation of the Dicke model in the semiclassical approximation.
The simplicity and versatility of our platform allows us not only to experimentally explore the coexistence of regular and chaotic trajectories in the Dicke model.
In this analysis, the trajectories in phase space, Lyapunov exponents and the recently introduced Out-of-Time-Order-Correlator (OTOC) are used to identify the different operating regimes of our electronic device.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report the experimental implementation of the Dicke model in the
semiclassical approximation, which describes a large number of two-level atoms
interacting with a single-mode electromagnetic field in a perfectly reflecting
cavity. This is managed by making use of two non-linearly coupled active,
synthetic LC circuits, implemented by means of analog electrical components.
The simplicity and versatility of our platform allows us not only to
experimentally explore the coexistence of regular and chaotic trajectories in
the Dicke model but also to directly observe the so-called ground-state and
excited-state ``quantum'' phase transitions. In this analysis, the trajectories
in phase space, Lyapunov exponents and the recently introduced
Out-of-Time-Order-Correlator (OTOC) are used to identify the different
operating regimes of our electronic device. Exhaustive numerical simulations
are performed to show the quantitative and qualitative agreement between theory
and experiment.
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