Tunneling dynamics of correlated bosons in a double well potential

TL;DR

This paper investigates the quantum tunneling dynamics of a few correlated bosons in a double well potential using the Bose Hubbard model, highlighting how interaction sign, strength, and initial conditions influence their oscillations.

Contribution

It provides a detailed analysis of tunneling behaviors for both attractive and repulsive interactions, including the effects of initial population imbalances and particle number parity.

Findings

Distinct tunneling oscillation features for different interaction signs and strengths

Sensitivity of dynamics to initial population imbalances, especially with odd particle numbers

Unique behaviors observed when initial population difference is unity

Abstract

The quantum dynamics of a few bosons in a double well potential is studied using a Bose Hubbard model. We consider both signs for the on-site interparticle interaction and also investigated the situations where they are large and small. Interesting distinctive features are noted for the tunneling oscillations of these bosons corresponding to the above scenarios. Further, the sensitivity of the particle dynamics to the initial conditions has been studied. It is found that corresponding to an odd number of particles, such as three (or five), an initial condition of having unequal number of particles in the wells has interesting consequences, which is most discernible when the population difference between the wells is unity.