Investigations on spontaneous wavefunction collapse by a non-unitary, linear noise field

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Investigations on spontaneous wavefunction collapse by a non-unitary, linear noise field

Type: Master thesis
Title: Investigations on spontaneous wavefunction collapse by a non-unitary, linear noise field
Author: Carmiggelt, Joris Jip
Issue Date: 2018-10-31
Keywords: Collapse of the wavefunction
Numerical quantum state modelling
Statistical physics
Abstract: We performed numerical simulations to verify a model of spontaneous collapse of the wavefunction by an infinitesimally small, non-unitary noise field. This noise field breaks time reversal and translation symmetry of the Hamiltonian and depends only linearly on the wavefunction itself. We found that the probabilty of collapse from a uniform wavefunction goes to infinity in the limit of continuous space and depends on B^{2}m. Here B is the strength of the noise and m the mass of the system. Furthermore, we investigated the stability of a collapsed state and found that this depends on the shape of the noise distribution: an asymmetrical, positive distribution seems to enhance the stabilty. We finally performed analytical calculations to further understand this dependency and the role of normalisation of the wavefunction in our model.
Supervisor: Oosterkamp, Tjerk
Faculty: Faculty of Science
Department: Physics (Master)
Specialisation: Casimir Pre-PhD
ECTS Credits: 8
Handle: http://hdl.handle.net/1887/66243
 

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