Nonlinear evolution as a possible explanation for quantum mechanical statevector reduction

2005/12/19 by Henrik Brusheim-Johansson, Brusheim-Johansson, Henrik
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.quant-ph/0512158

Abstract

A non-local toy-model is proposed for the purpose of modelling the ``wave function collapse'' of a two-state quantum system. The collapse is driven by a nonlinear evolution equation with an extreme sensitivity to absolute phase. It is hypothesized that the phase, or a part of it, is displaying chaotic behaviour. This chaotic behaviour can then be responsible for the indeterminacy we are experiencing for a single quantum system. Through this randomness, we no longer need the statistical ``ensemble'' behaviour to describe a single quantum system. A brief introduction to the ``measurement problem'' is also given.

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