Related Experiment Video
Updated: May 17, 2026

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
Published on: June 15, 2022
Comparative study of indicators of chaos in the closed and open Dicke model
Prasad Pawar1, Arpan Bhattacharyya1, B Prasanna Venkatesh1
1Indian Institute of Technology Gandhinagar, Palaj, Gujarat 382355, India.
Abstract:
The Dicke model, renowned for its superradiant quantum phase transition, also exhibits a transition from regular to chaotic dynamics. In this work we provide a systematic, comparative study of static and dynamical indicators of chaos for the closed and open Dicke models. In the closed Dicke model, we find that indicators of chaos sensitive to long-range correlations in the energy spectrum, such as the spectral form factor, can deviate from the Poissonian predictions and show a dip-ramp-plateau feature even in the regular region of the Dicke model unless very large values of the spin size are chosen. Thus, care is needed in using such indicators of chaos in general. In the open Dicke model with cavity damping, we find that the dissipative spectral form factor emerges as a robust diagnostic displaying a quadratic dip-ramp-plateau behavior in agreement with the Ginibre Unitary Ensemble (GinUE) in the superradiant regime. Moreover, by examining the spectral properties of the Liouvillian, we provide indirect evidence for the concurrence of the dissipative superradiant quantum phase transition and the change in Liouvillian eigenvalue statistics from 2D Poissonian to GinUE behavior.
Related Concept Videos
Entropy
Three-Compartment Open Model
Two-Compartment Open Model: Overview
The...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Modeling with Differential Equations
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.

