On Disagreement About Nonperturbative Corrections in Triple-Well Potential

Abstract

We examine in detail nonperturbative corrections for low lying energies of a symmetric triplewell potential with non-equivalent vacua, for which there have been disagreement about asymptotic formulas and controversy over the validity of the dilute gas approximation. We carry out investigations from various points of view, including not only a numerical comparison of the nonperturbative corrections with the exact values but also the prediction on the large order behavior of the perturbation series, consistency with the perturbative corrections, and comparison with the WKB approximation. We show that all the results support our formulas previously obtained from the valley method calculation beyond the dilute gas approximation.

Tunneling dynamics in exactly-solvable models with triple-well potentials

“…However, the detailed consideration of tunneling dynamics is becoming important in condensed matter physics, where the possibility of constructing new atomtronic devices based on cold atoms is being intensively explored. Therefore, studying the subtleties of tunneling dynamics in multi-well potentials requires using models with controllable characteristics, while the studies of space-time dynamics in tunneling processes requires going beyond 1 See, however, [24], [25], [26] (and Refs. therein) for other types of approches.…”