Dynamics of interacting bosons in a double well potential-harmonic versus chirp modulation

TL;DR

This paper investigates how external periodic driving influences the tunneling dynamics of interacting bosons in a double well potential, revealing routes to chaos and methods to suppress it using chirped signals.

Contribution

It demonstrates how different modulation strategies lead to chaos or order in bosonic tunneling, highlighting the role of amplitude, phase, and chirp in controlling dynamics.

Findings

Large amplitude driving induces chaos with different routes depending on tuning.

Chirp frequency can suppress chaos, restoring orderly Rabi-like oscillations.

Abstract

We present effects of an external driving on the tunneling dynamics of interacting bosons confined in a double well potential. At large values of a periodic driving potential, the dynamics become chaotic, with a distinct difference between tuning of the amplitude or the phase of the driving term with regard to the route leading to chaos. For example, we find that a controlled increase in the amplitude of the driving term with a fixed phase leads to quasiperiodic route to chaos. While tuning of the frequency with a fixed (large) amplitude leads to a crisis induced intermittency route to a chaotic dynamics, where the system intermittently visits different attractors in the phase space. Surprisingly, a chirp frequency superposed on a harmonic signal suppresses the chaotic motion, thereby yielding an orderly dynamics, pretty similar to a (damped) Rabi oscillation.