Shortcuts to adiabatic soliton compression in active nonlinear Kerr media

Area of Science:

• Nonlinear Optics
• Quantum Optics
• Mathematical Physics

Background:

• Adiabatic passage is a key technique in quantum control.
• Optical pulse compression is crucial for high-intensity laser applications.
• Nonlinear Kerr media present challenges due to dispersion and amplification.

Purpose of the Study:

• To implement variational shortcuts to adiabaticity for optical pulse compression.
• To analytically derive relationships between pulse parameters.
• To explore the application in nonlinear Kerr media with distributed properties.

Main Methods:

• Variational approximation with hyperbolic secant ansatz.
• Inverse engineering of distributed gain/loss, nonlinearity, and dispersion.
• Analysis of dynamical stability and higher-order dispersion effects.

Main Results:

• Analytical relationships for pulse amplitude, width, and chirp derived.
• Efficient optical pulse compression achieved with high fidelity over reduced distances.
• Demonstrated advantages over conventional adiabatic methods and analyzed soliton dynamics.

Conclusions:

• Variational shortcuts to adiabaticity offer an effective method for optical pulse compression.
• The approach is versatile, with potential applications in cold-atom and magnetic systems.
• Tailored higher-order dispersion impacts soliton self-compression and expansion.