Self-Trapping Phenomenon, Multistability and Chaos in Open Anisotropic Dicke Dimer

Area of Science:

• Quantum optics
• Condensed matter physics
• Nonlinear dynamics

Background:

• Atom-photon interactions are fundamental to quantum optics.
• The Dicke model describes collective light-matter interaction.
• Photon loss and system anisotropy introduce complex dynamics.

Purpose of the Study:

• Investigate semiclassical dynamics of a coupled atom-photon system.
• Characterize nonlinear dynamics and phase transitions.
• Explore phenomena like multistability, self-trapping, and chaos.

Main Methods:

• Semiclassical analysis of a dimer of anisotropic Dicke models.
• Dynamical classification and phase diagram construction.
• Analysis of bifurcations and decorrelator dynamics for chaos diagnosis.

Main Results:

• Rich nonlinear dynamics including multistability and coexistence of superradiant phases and limit cycles.
• Observation of self-trapping phenomena leading to photon imbalance.
• Identification of 'self-trapped limit cycles' and onset of chaos.
• Coexistence of self-trapped states with chaotic attractors.

Conclusions:

• The dimer anisotropic Dicke model exhibits complex dynamics and phase transitions.
• Self-trapping and chaos have significant implications for quantum dynamics.
• Findings are experimentally relevant for cavity and circuit quantum electrodynamics.