Different routes to large-intensity pulses in Zeeman laser model

Area of Science:

• Nonlinear Dynamics and Chaos Theory
• Laser Physics and Optics
• Statistical Mechanics

Background:

• Zeeman laser systems are known for complex dynamical behaviors.
• Understanding instabilities is crucial for laser stability and applications.
• Previous models explored limited types of dynamical transitions.

Purpose of the Study:

• To investigate the variety of large-intensity pulses and instabilities in a Zeeman laser model.
• To characterize the dynamical transitions and statistical properties of these pulses.
• To analyze the influence of noise and time delays on system dynamics.

Main Methods:

• Numerical simulation of a Zeeman laser model.
• Analysis of dynamical processes including quasiperiodic intermittency and chaos.
• Statistical measures to quantify pulse intensity distributions and decay patterns.

Main Results:

• Observed a rich variety of large-intensity pulses and instabilities.
• Identified three distinct dynamical processes: quasiperiodic intermittency, Pomeau-Manneville intermittency, and chaos onset via interior crisis.
• Statistical analysis revealed low probability of large-intensity pulses above a threshold, following exponential decay and a Poisson-like distribution.

Conclusions:

• The Zeeman laser model effectively demonstrates diverse instabilities by parameter variation.
• The observed pulse statistics suggest predictable behavior under specific conditions.
• Noise and time delays significantly affect system dynamics near transition points.