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dc.contributor.authorTilloy, Antoine
dc.contributor.authorWiseman, Howard M
dc.date.accessioned2021-12-17T03:38:53Z
dc.date.available2021-12-17T03:38:53Z
dc.date.issued2021
dc.identifier.issn2521-327X
dc.identifier.doi10.22331/q-2021-11-29-594
dc.identifier.urihttp://hdl.handle.net/10072/411012
dc.description.abstractSpontaneous 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.peerreviewedYes
dc.description.sponsorshipSilicon Valley Community Foundation_Foundational Questions Institute
dc.languageEnglish
dc.publisherVerein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
dc.relation.ispartofpagefrom594
dc.relation.ispartofjournalQuantum
dc.relation.ispartofvolume5
dc.subject.fieldofresearchQuantum physics
dc.subject.fieldofresearchcode5108
dc.subject.keywordsScience & Technology
dc.subject.keywordsPhysical Sciences
dc.subject.keywordsQuantum Science & Technology
dc.subject.keywordsPhysics, Multidisciplinary
dc.subject.keywordsPhysics
dc.titleNon-Markovian wave-function collapse models are Bohmian-like theories in disguise
dc.typeJournal article
dc.type.descriptionC1 - Articles
dcterms.bibliographicCitationTilloy, A; Wiseman, HM, Non-Markovian wave-function collapse models are Bohmian-like theories in disguise, Quantum, 2021, 5
dc.date.updated2021-12-17T00:03:10Z
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.hasfulltextFull Text
gro.griffith.authorWiseman, Howard M.


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