dc.contributor.author Tilloy, Antoine dc.contributor.author Wiseman, Howard M dc.date.accessioned 2021-12-17T03:38:53Z dc.date.available 2021-12-17T03:38:53Z dc.date.issued 2021 dc.identifier.issn 2521-327X dc.identifier.doi 10.22331/q-2021-11-29-594 dc.identifier.uri http://hdl.handle.net/10072/411012 dc.description.abstract Spontaneous collapse models and Bohmian mechanics are two different solutions to the measurement problem plaguing orthodox quantum mechanics. They have, a priori nothing in common. At a formal level, collapse models add a non-linear noise term to the Schrödinger equation, and extract definite measurement outcomes either from the wave function (e.g. mass density ontology) or the noise itself (flash ontology). Bohmian mechanics keeps the Schrödinger equation intact but uses the wave function to guide particles (or fields), which comprise the primitive ontology. Collapse models modify the predictions of orthodox quantum mechanics, whilst Bohmian mechanics can be argued to reproduce them. However, it turns out that collapse models and their primitive ontology can be exactly recast as Bohmian theories. More precisely, considering (i) a system described by a non-Markovian collapse model, and (ii) an extended system where a carefully tailored bath is added and described by Bohmian mechanics, the stochastic wave-function of the collapse model is exactly the wave-function of the original system conditioned on the Bohmian hidden variables of the bath. Further, the noise driving the collapse model is a linear functional of the Bohmian variables. The randomness that seems progressively revealed in the collapse models lies entirely in the initial conditions in the Bohmian-like theory. Our construction of the appropriate bath is not trivial and exploits an old result from the theory of open quantum systems. This reformulation of collapse models as Bohmian theories brings to the fore the question of whether there exists unromantic' realist interpretations of quantum theory that cannot ultimately be rewritten this way, with some guiding law. It also points to important foundational differences between true' (Markovian) collapse models and non-Markovian models. dc.description.peerreviewed Yes dc.description.sponsorship Silicon Valley Community Foundation_Foundational Questions Institute dc.language English dc.publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften dc.relation.ispartofpagefrom 594 dc.relation.ispartofjournal Quantum dc.relation.ispartofvolume 5 dc.subject.fieldofresearch Quantum physics dc.subject.fieldofresearchcode 5108 dc.subject.keywords Science & Technology dc.subject.keywords Physical Sciences dc.subject.keywords Quantum Science & Technology dc.subject.keywords Physics, Multidisciplinary dc.subject.keywords Physics dc.title Non-Markovian wave-function collapse models are Bohmian-like theories in disguise dc.type Journal article dc.type.description C1 - Articles dcterms.bibliographicCitation Tilloy, A; Wiseman, HM, Non-Markovian wave-function collapse models are Bohmian-like theories in disguise, Quantum, 2021, 5 dc.date.updated 2021-12-17T00:03:10Z gro.rights.copyright © The Author(s) 2021. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. gro.hasfulltext Full Text gro.griffith.author Wiseman, Howard M.
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