Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer

TL;DR

This paper explores the complex nonlinear dynamics, multistability, and chaos in a coupled atom-photon system modeled as an anisotropic Dicke dimer, revealing phenomena like self-trapping, limit cycles, and chaotic behavior with potential experimental implications.

Contribution

It provides a comprehensive analysis of the rich dynamical phases, including self-trapping and chaos, in an anisotropic Dicke dimer with photon loss, introducing new insights into multistability and bifurcation phenomena.

Findings

Identification of multistability and coexistence of superradiant phases.

Discovery of self-trapping phenomena and photon population imbalance.

Observation of chaos emerging from the absence of stable phases.

Abstract

We investigate semiclassical dynamics of a coupled atom-photon interacting system described by a dimer of anisotropic Dicke model in the presence of photon loss, exhibiting a rich variety of non-linear dynamics. Based on symmetries and dynamical classification, we characterize and chart out various dynamical phases in a phase diagram. A key feature of this system is the multistability of different dynamical states, particularly the coexistence of various superradiant phases as well as limit cycles. Remarkably, this dimer system manifests self-trapping phenomena, resulting in a photon population imbalance between the cavities. Such a self-trapped state arises from a saddle-node bifurcation, which can be understood from an equivalent Landau-Ginzburg description. Additionally, we identify a unique class of oscillatory dynamics self-trapped limit cycle, hosting self-trapping of photons. The absence of stable dynamical phases leads to the onset of chaos, which is diagnosed using the saturation value of the decorrelator dynamics. Moreover, the self-trapped states can coexist with chaotic attractor, which may have intriguing consequences in quantum dynamics. Finally, we discuss the experimental relevance of our findings, which can be tested in cavity and circuit quantum electrodynamics setups.