June 30, 2025 to July 4, 2025
Europe/Vienna timezone

Characterizing far from equilibrium states of the one-dimensional nonlinear Schrodinger equation

Jul 1, 2025, 3:15 PM
1h 45m
Poster only Cold and ultracold atoms, molecules and ions, degenerate quantum gases, ultracold plasmas Poster Session 2

Speaker

Abhik Kumar Saha (UNIVERSITY OF OKLAHOMA)

Description

We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schrodinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{ö}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.

Author

Abhik Kumar Saha (UNIVERSITY OF OKLAHOMA)

Co-author

Romain Dubessy (Université Sorbonne Paris Nord)

Presentation materials

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