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Related Experiment Video

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Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

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Published on: August 17, 2017

Localized and extended states in a disordered trap.

Luca Pezzé¹, Laurent Sanchez-Palencia

¹Laboratoire Charles Fabry de l'Institut d'Optique, CNRS and Université Paris-Sud, Palaiseau, France.

Physical Review Letters

|March 17, 2011

Summary

We investigated Anderson localization in disordered systems with traps, finding coexisting localized and extended states. Extended states arise from trap confinement, while localized states stem from disorder, offering insights for quantum gases.

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Area of Science:

Quantum physics
Condensed matter physics

Background:

Anderson localization describes the suppression of wave function propagation in disordered systems.
Inhomogeneous traps introduce spatial variations in potential energy landscapes.
Understanding the interplay between disorder and confinement is crucial for controlling quantum states.

Purpose of the Study:

To investigate the phenomenon of Anderson localization in a system with both a disordered potential and an inhomogeneous trap.
To analyze the nature of energy states (localized vs. extended) within this combined potential.
To propose experimental methods for observing these phenomena in quantum gases.

Main Methods:

Theoretical modeling of a disordered potential coupled with an inhomogeneous trap.
Analysis of the system's energy spectrum to identify localized and extended states.
Investigating the influence of the trap and disorder on the properties of these states.

Main Results:

The energy spectrum exhibits coexistence of localized and extended states at intermediate energies.
Extended states are primarily influenced by trap confinement and minimally by disorder.
Localized states are dominated by the disordered potential, with trap effects causing energy shifts.

Conclusions:

The combined presence of disorder and inhomogeneous traps leads to a unique coexistence of localized and extended states.
These findings are relevant for controlling quantum states in disordered quantum gases.
A practical experimental scheme is proposed for observing this coexistence.