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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

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Trapping massless Dirac particles in a rotating saddle.

Johan Nilsson¹

¹Department of Physics, University of Gothenburg, 412 96 Gothenburg, Sweden.

Physical Review Letters

|August 29, 2014

Summary

Rotating saddle potentials create localized states for electrons in graphene. These unique eigenstates exhibit extended lifetimes, even with system imperfections, offering insights into quantum particle behavior.

Area of Science:

Condensed Matter Physics
Quantum Mechanics

Background:

Rotating potentials can induce bounded motion for particles with parabolic dispersion.
Forces in rotating frames include potential, centrifugal, and Coriolis forces.

Purpose of the Study:

To investigate the behavior of massless Dirac particles in rotating saddle-shaped potentials.
To determine if such potentials lead to spatially localized eigenstates.

Main Methods:

Analysis of particle motion in two-dimensional rotating saddle-shaped potentials.
Application of the potential to massless Dirac particles, specifically electrons in graphene.

Main Results:

Spatially localized eigenstates are observed near the saddle center at specific energies.

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Nonoverlapping support in the oscillator basis for coexisting states.

Localized states demonstrate a substantial lifetime in the presence of imperfections.

Conclusions:

Rotating saddle potentials can effectively localize Dirac particles in specific energy ranges.
The observed localization and extended lifetime have implications for quantum systems and materials like graphene.