Dynamic Localization of Interacting Particles in an Anharmonic Potential

TL;DR

This paper studies how anharmonicity and interactions influence the localization or delocalization of quantum particles in a potential, using classical models and quantum simulations for a comprehensive analysis.

Contribution

It introduces a classical model to describe localization phenomena and compares it with quantum simulations based on the Gross-Pitaevskii Equation.

Findings

Localization depends on interaction strength and sign.

Classical and quantum models show qualitative agreement.

Localization can be controlled by tuning anharmonicity and interactions.

Abstract

We investigate the effect of anharmonicity and interactions on the dynamics of an initially Gaussian wavepacket in a weakly anharmonic potential. We note that depending on the strength and sign of interactions and anharmonicity, the quantum state can be either localized or delocalized in the potential. We formulate a classical model of this phenomenon and compare it to quantum simulations done for a self consistent potential given by the Gross-Pitaevskii Equation.