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Anderson localization of solitons
Krzysztof Sacha1, Cord A Müller, Dominique Delande
1Instytut Fizyki imienia Mariana Smoluchowskiego and Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059 Kraków, Poland.
Physical Review Letters
|April 7, 2010
Summary
A bright soliton, a quantum state of atoms, exhibits Anderson localization when moving through a disordered potential. This phenomenon, where the soliton
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter physics
Background:
- Quasi-one-dimensional atomic ensembles with attractive interactions form bright solitons at low temperatures.
- External potentials can influence soliton dynamics, primarily affecting center-of-mass motion rather than shape.
Purpose of the Study:
- To investigate the quantum motion of bright solitons in spatially correlated disordered potentials.
- To determine if Anderson localization occurs for bright solitons and characterize its properties.
Main Methods:
- Theoretical analysis of bright soliton dynamics in disordered potentials.
- Modeling quantum motion and localization phenomena.
Main Results:
- Bright solitons display Anderson localization in spatially correlated disordered potentials.
- The observed localization length can significantly exceed the soliton's physical size.
Conclusions:
- Anderson localization is a key feature of bright soliton quantum motion in disordered environments.
- The predicted large localization lengths suggest potential for experimental observation.
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