Landau-Zener transition stabilized by the enhanced quantum Zeno effect in the bosonic system

TL;DR

This paper demonstrates that strong quantum Zeno effects can stabilize Landau-Zener transitions in bosonic systems, significantly enhancing measurement sensitivity and achieving polynomial speedup with many bosons, especially in Bose-Einstein condensates.

Contribution

It introduces a model of quantum Zeno stabilization in bosonic systems and shows how different relaxation types improve measurement and speedup in large systems.

Findings

Both discrete and continuous quantum Zeno measurements stabilize the Landau-Zener transition.

σ^x-type relaxation enhances measurement sensitivity and speedup.

Large bosonic systems like Bose-Einstein condensates can achieve several orders of magnitude speedup.

Abstract

We study the Landau-Zener transition with the quantum Zeno effect in an open dissipative system populated by a large number of bosons. Given the quantum Zeno effect is strong enough, both discrete and continuous quantum Zeno measurements are found to stabilize the Landau-Zener transition. Both the $\sigma^x$-type longitudinal relaxation and $\sigma^z$-type transverse relaxation in the bosonic system are analyzed as a model of continuous quantum Zeno measurements. While both of them improve the signal-to-noise ratio in terms of the ground state population, the $\sigma^x$-type relaxation can further boost measurement sensitivity and thus lead to a polynomial speedup with the number of bosons in the system. For a system that contains a large number of bosons such as in a Bose-Einstein condensate with more than $10^4$ bosons, this equates to several orders of magnitude speedup.