Squeezing in driven bimodal Bose-Einstein Condensates: Erratic driving versus noise

TL;DR

This paper investigates how erratic driving and noise influence quantum squeezing in a two-site Bose-Hubbard model, revealing significant differences in squeezing behavior and distribution due to rare events.

Contribution

It provides a detailed comparison of the effects of erratic driving versus noise on squeezing, highlighting the role of distribution characteristics in quantum dynamics.

Findings

Quantum Zeno effect suppresses squeezing beyond short times

Erratic driving causes different squeezing distributions compared to noise

Squeezing factor exhibits log-normal distribution with rare event significance

Abstract

We study the interplay of squeezing and phase randomization near the hyperbolic instability of a two-site Bose-Hubbard model in the Josephson interaction regime. We obtain results for the quantum Zeno suppression of squeezing, far beyond the previously found short time behavior. More importantly, we contrast the expected outcome with the case where randomization is induced by erratic driving with the same fluctuations as the quantum noise source, finding significant differences. These are related to the distribution of the squeezing factor, which has log-normal characteristics: hence its average is significantly different from its median due to the occurrence of rare events.