Observing trajectories with weak measurements in quantum systems in the semiclassical regime

TL;DR

This paper introduces a scheme using consecutive weak measurements of position to observe quantum system trajectories in the semiclassical regime, enabling extraction of weak trajectories from measurement pointers.

Contribution

The paper presents a novel method for tracking quantum trajectories via weak measurements, bridging quantum and classical descriptions in the semiclassical regime.

Findings

Weak trajectories can be extracted from measurement pointers.

The scheme is demonstrated on a time-dependent model system.

Properties of weak trajectories are characterized and illustrated.

Abstract

We propose a scheme allowing to observe the evolution of a quantum system in the semiclassical regime along the paths generated by the propagator. The scheme relies on performing consecutive weak measurements of the position. We show how weak trajectories" can be extracted from the pointers of a series of measurement devices having weakly interacted with the system. The properties of these "weak trajectories" are investigated and illustrated in the case of a time-dependent model system.