Wave Function Collapse in a Mesoscopic Device

TL;DR

This paper investigates the wave function collapse phenomenon in a mesoscopic device by analyzing current-current correlations, revealing unique non-local temporal and spatial signatures that could be experimentally observed.

Contribution

It introduces a novel approach to detect wave function collapse through non-local current correlations in mesoscopic conductors with a scattering center.

Findings

Non-local current-current correlator exhibits unique dependence on retarded variables.

Wave function collapse signatures are observable at specific positions.

The study provides a method to experimentally detect wave function collapse in solid state devices.

Abstract

We determine the non-local in time and space current-current cross correlator $<\hat{I}(x_1,t_1) \hat{I}(x_2,t_2)>$ in a mesoscopic conductor with a scattering center at the origin. Its excess part appearing at finite voltage exhibits a unique dependence on the retarded variable $t_1-t_2-(|x_1|-|x_2|)/ v_{\rm\scriptscriptstyle F}$, with $v_{\rm\scriptscriptstyle F}$ the Fermi velocity. The non-monotonic dependence of the retardation on $x_1$ and its absence at the symmetric position $x_1 = -x_2$ is a signature of the wave function collapse, which thus becomes amenable to observation in a mesoscopic solid state device.