Second order tunneling of two interacting bosons in a driven triple well

TL;DR

This paper studies the quantum tunneling behavior of two interacting bosons in a driven triple-well system, revealing a second-order tunneling process and providing analytical Floquet quasienergy bands relevant for experimental control.

Contribution

It introduces a detailed analytical and numerical analysis of second-order tunneling of interacting bosons under high-frequency driving, highlighting a far-resonant regime with coherent destruction of tunneling.

Findings

Identification of a far-resonant strongly-interacting regime

Analytical Floquet quasienergy bands with second-order corrections

Confirmation of results through numerical simulations

Abstract

We investigate quantum tunneling of two repulsive bosons in a triple-well potential subject to a high-frequency driving field. By means of the multiple-time-scale asymptotic analysis, we evidence a far-resonant strongly-interacting regime in which the selected coherent destruction of tunneling can occur between the paired states and unpaired states, and the dominant tunneling of the paired states is a second order process. Two Floquet quasienergy bands of the both kinds of states are given analytically, where a fine structure up to the second order corrections is displayed. The analytical results are confirmed numerically based on the exact model, and may be particularly relevant to controlling correlated tunneling in experiments.