Recovery of classically chaotic behavior in a noise-driven quantum system

Area of Science:

• Quantum chaos
• Statistical mechanics

Background:

• Dynamical localization in quantum systems
• Quantum kicked rotor model
• Effect of noise on quantum dynamics

Purpose of the Study:

• Investigate the impact of high amplitude noise on the quantum kicked rotor
• Characterize the transition from dynamical localization to diffusive and classical behavior
• Analyze the role of short-time correlations

Main Methods:

• Numerical simulations of the quantum kicked rotor model
• Analysis of energy growth and momentum distributions
• Quantitative assessment of noise-induced transitions

Main Results:

• Noise completely destroys dynamical localization
• Observed transition to diffusive behavior with suppressed diffusion
• Further transition to classical behavior with increasing noise amplitude
• Energy growth and momentum distributions approach classical limits

Conclusions:

• High amplitude noise drives the quantum kicked rotor towards classical behavior
• Short-time correlations are crucial for the emergence of classical chaos
• Understanding noise effects is vital for quantum system dynamics