Effect of Landau-Zener tunneling by the varying sweeping rate of external field

TL;DR

This paper investigates how the rate of change in an external field influences Landau-Zener tunneling across multiple energy levels, revealing how unsteady variation can enable controlled state transitions within finite time.

Contribution

It introduces an approximate method to analyze Landau-Zener tunneling with varying sweep rates across many levels, highlighting the impact of unsteady field variation on tunneling rates.

Findings

Varying sweep rates significantly alter LZ tunneling rates.

Unsteady field variation enables periodic transitions to higher energy states.

The approach provides insights into controlling quantum state transitions.

Abstract

We study the effect of Landau-Zener (LZ) tunneling caused by the varying sweeping rate of external field, formulating and approximately solving the problem with many levels of the LZ tunneling rate. Comparing with the steadily vary about sweeping field, the LZ tunneling rate will be essentially changed because of the unsteady variation of the sweeping field in time. Thus could help us to make the particles with in lower states transit periodically to upper states within the finite time.