Conditioned quantum motion of an atom in a continuously monitored 1D lattice

TL;DR

This paper investigates how continuous local measurements influence the quantum motion of an atom in a 1D lattice, revealing regimes from wave-like oscillations to Zeno effects through spectral analysis.

Contribution

It introduces a detailed analysis of measurement-conditioned quantum trajectories and links dynamical regimes to spectral features of measurement noise.

Findings

Identification of quasi-coherent wave packet oscillations

Observation of Zeno-type dynamics under strong measurements

Correlation between spectral properties and dynamical regimes

Abstract

We consider a quantum particle on a one dimensional lattice subject to weak local measurements and study its stochastic dynamics conditioned on the measurement outcomes. Depending on the measurement strength our analysis of the quantum trajectories reveals dynamical regimes reach- ing from quasi-coherent wave packet oscillations to a Zeno-type dynamics. We analyse how these dynamical regimes are directly reflected in the spectral properties of the noisy measurement records.