Finite-time stochastic reduction models

Abstract

A new energy-based stochastic extension of the Schrodinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all finite-dimensional quantum systems, is presented and used to verify explicitly that reduction of the state vector to an energy eigenstate occurs. A time-change technique is introduced to construct a `clock' variable that relates the asymptotic and the finite-time collapse models by means of a nonlinear transformation.

4 Pages

References in corpus (2)

• Dynamical Reduction Models
• Continuous quantum measurement and Itô formalism

Cited by in corpus (6)

• Quantum noise and stochastic reduction
• Signal processing with Levy information
• Exactly solvable quantum state reduction models with time-dependent coupling
• Lévy Models for Collapse of the Wave Function
• Estimating the reduction time of quantum states
• Generalised Liouville Processes and their Properties