Analysis of chaos and regularity in the open Dicke model
- URL: http://arxiv.org/abs/2307.05675v2
- Date: Thu, 11 Jan 2024 00:13:23 GMT
- Title: Analysis of chaos and regularity in the open Dicke model
- Authors: David Villase\~nor and Pablo Barberis-Blostein
- Abstract summary: We present an analysis of chaos and regularity in the open Dicke model, when dissipation is due to cavity losses.
Due to the infinite Liouville space of this model, we also introduce a criterion to find a complex spectrum which approximately numerically represents the system spectrum.
Our results for this infinite-dimensional system agree with the Grobe-Haake-Sommers conjecture for Markovian dissipative open quantum systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present an analysis of chaos and regularity in the open Dicke model, when
dissipation is due to cavity losses. Due to the infinite Liouville space of
this model, we also introduce a criterion to numerically find a complex
spectrum which approximately represents the system spectrum. The isolated Dicke
model has a well-defined classical limit with two degrees of freedom. We select
two case studies where the classical isolated system shows regularity and where
chaos appears. To characterize the open system as regular or chaotic, we study
regions of the complex spectrum taking windows over the absolute value of its
eigenvalues. Our results for this infinite-dimensional system agree with the
Grobe-Haake-Sommers (GHS) conjecture for Markovian dissipative open quantum
systems, finding the expected 2D Poisson distribution for regular regimes, and
the distribution of the Ginibre unitary ensemble (GinUE) for the chaotic ones,
respectively.
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