How fast is the wave function collapse?

TL;DR

This paper introduces a new non-linear quantum equation model that describes wave function collapse as a finite-time process, providing experimental bounds and suggesting experimental setups for probing collapse dynamics.

Contribution

It proposes a novel complex quantum Hamilton-Jacobi formulation extending Schrödinger's equation to model wave function collapse as a finite-time phenomenon.

Findings

Collapse time bounds from 0.1 ms to 0.1 ps

Dimensionless measure for collapse sensitivity

Potential experimental probes with BECs, neutrons, and ultrafast optics

Abstract

Using complex quantum Hamilton-Jacobi formulation, a new kind of non-linear equations is proposed that have almost classical structure and extend the Schroedinger equation to describe the collapse of the wave function as a finite-time process. Experimental bounds on the collapse time are reported (of order 0.1 ms to 0.1 ps) and its convenient dimensionless measure is introduced. This parameter helps to identify the areas where sensitive probes of the possible collapse dynamics can be done. Examples are experiments with Bose-Einstein condensates, ultracold neutrons or ultrafast optics.