Nonlinearity induced destruction of resonant tunneling in the Wannier-Stark problem

TL;DR

This paper investigates how increasing atom-atom interactions in a Bose-Einstein condensate within a tilted optical lattice disrupts resonant tunneling, providing detailed numerical insights into the nonlinear effects on quantum tunneling phenomena.

Contribution

It demonstrates that nonlinearity from atom interactions systematically destroys resonant tunneling peaks in the Wannier-Stark problem.

Findings

Atom-atom interactions affect coherent tunneling.

Resonant tunneling peaks are destroyed by nonlinearity.

Numerical results detail the dynamics over many Bloch periods.

Abstract

We present detailed numerical results on the dynamics of a Bose-Einstein condensate in a tilted periodic optical lattice over many Bloch periods. We show that an increasing atom-atom interaction systematically affects coherent tunneling, and eventually destroys the resonant tunneling peaks.