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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...

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Soliton transformation between different potential wells.

Qing Wang, Dumitru Mihalache, Milivoj R Belić

|February 1, 2023

Summary

This summary is machine-generated.

This study introduces a new method for soliton transformation by adjusting potential well depths. This technique reliably generates stable solitons, even in complex potentials, enabling applications in optical switching and processing.

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Area of Science:

Nonlinear Optics
Soliton Dynamics
Computational Physics

Background:

Solitons are stable, self-reinforcing wave packets crucial in various physical systems.
Controlling soliton behavior, particularly transformations between different potentials, is challenging.
Existing methods for finding solitons in complex potentials can be computationally intensive or fail.

Purpose of the Study:

To present a novel method for soliton transformation between potential wells.
To demonstrate the efficiency and reliability of this transformation technique.
To enable the generation of stable solitons in complex potentials where traditional methods struggle.

Main Methods:

Gradually manipulating the depths of potential wells along the propagation direction.
Ensuring smooth gradients in potential depth manipulation.
Verifying soliton stability within the regions of the potential wells.

Main Results:

A novel method for soliton transformation between different potential wells was successfully developed.
Transformed solitons were compared with iteratively obtained ones, proving the method's efficiency and reliability.
Stable solitons were obtained in complex potentials where iterative methods failed.

Conclusions:

The controllable soliton transformation method is efficient and reliable.
This technique facilitates the generation of stable solitons in challenging potential landscapes.
The method offers significant potential for applications in all-optical switching and optical information processing.