Wave Function Collapse in a Mesoscopic Device

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 $t_1-t_2-(|x_1|-|x_2|)/v_{\mathrm{F}}$, with $v_{\mathrm{F}}$ 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.

7 pages, 2 fugures

References in corpus (4)

• Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Interaction effects on counting statistics and the transmission distribution
• Current Fluctuations and Electron-Electron Interactions in Coherent Conductors

Cited by in corpus (2)

• Pauli-Heisenberg Blockade of Electron Quantum Transport
• Measurement of high order current correlators