Quantum Signatures in Quench from Chaos to Superradiance

Area of Science:

• Quantum optics
• Condensed matter physics
• Nonlinear dynamics

Background:

• The driven-dissipative Dicke model exhibits diverse steady states, including normal, superradiant, and lasing phases, which can be either regular or chaotic.
• Understanding the transition dynamics and quantum signatures of chaos in such systems is crucial for exploring complex quantum phenomena.

Purpose of the Study:

• To investigate quantum signatures of chaos in the driven-dissipative Dicke model using a quench protocol.
• To analyze the behavior of the system when quenched from chaotic versus regular lasing states.

Main Methods:

• Utilizing a quench protocol starting from the lasing states of the driven-dissipative Dicke model.
• Employing a classical mean-field perspective to describe system relaxation dynamics.
• Analyzing the quantum domain for signatures of chaos and their implications.

Main Results:

• Quenching the system leads to relaxation into either the normal or superradiant state.
• Systems quenched from chaotic lasing states display an erratic dependence on control parameters, unlike those quenched from regular states.
• This sensitivity in the quantum domain resembles universal conductance fluctuations.

Conclusions:

• Quantum chaos in the driven-dissipative Dicke model manifests as parameter-dependent erratic behavior during quench dynamics.
• The observed sensitivity provides a quantum signature analogous to universal conductance fluctuations.
• These findings offer insights into the complex dynamics and quantum properties of chaotic systems.