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  Identifying weak values with intrinsic dynamical properties in modal theories

Pandey, D., Sampaio, R., Ala-Nissila, T., Albareda Piquer, G., & Oriols, X. (2021). Identifying weak values with intrinsic dynamical properties in modal theories. Physical Review A, 103(5): 052219. doi:10.1103/PhysRevA.103.052219.

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PhysRevA.103.052219.pdf (Publisher version), 284KB
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https://dx.doi.org/10.1103/PhysRevA.103.052219 (Publisher version)
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https://arxiv.org/abs/1812.10257 (Preprint)
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 Creators:
Pandey, D.1, 2, Author
Sampaio, R.3, Author
Ala-Nissila, T.3, 4, Author
Albareda Piquer, G.5, 6, Author              
Oriols, X.1, Author
Affiliations:
1Department of Electronic Engineering, Universitat Autònoma de Barcelona, ou_persistent22              
2Department of Photonics Engineering, Technical University of Denmark, ou_persistent22              
3QTF Centre of Excellence, Department of Applied Physics, Aalto University, ou_persistent22              
4Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, ou_persistent22              
5Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
6Institute of Theoretical and Computational Chemistry, Universitat de Barcelona, ou_persistent22              

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 Abstract: The so-called eigenvalue-eigenstate link states that no property can be associated to a quantum system unless it is in an eigenstate of the corresponding operator. This precludes the assignation of properties to unmeasured quantum systems in general. This arbitrary limitation of orthodox quantum mechanics generates many puzzling situations such as for example the impossibility to uniquely define a work distribution, an essential building block of quantum thermodynamics. Alternatively, modal theories (e.g., Bohmian mechanics) provide an ontology that always allows one to define intrinsic properties, i.e., properties of quantum systems that are detached from any possible measuring context. We prove here that Aharonov, Albert, and Vaidman's notion of a weak value can always be identified with an intrinsic dynamical property of a quantum system defined in a certain modal theory. Furthermore, the fact that weak values are experimentally accessible (as an ensemble average of weak measurements which are postselected by a strong measurement) strengthens the idea that understanding the intrinsic (unperturbed) dynamics of quantum systems is possible and useful in a given modal theory. As examples of the physical soundness of these intrinsic properties, we discuss three intrinsic Bohmian properties, viz., the dwell time, the work distribution, and the quantum noise at high frequencies.

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Language(s): eng - English
 Dates: 2021-02-122020-10-212021-05-142021-05-282021-05
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevA.103.052219
arXiv: 1812.10257
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Project name : -
Grant ID : 881603
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)
Project name : -
Grant ID : 765426
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)
Project name : -
Grant ID : 752822
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

Source 1

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Title: Physical Review A
  Other : Physical Review A: Atomic, Molecular, and Optical Physics
  Other : Phys. Rev. A
Source Genre: Journal
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Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 103 (5) Sequence Number: 052219 Start / End Page: - Identifier: ISSN: 1050-2947
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012_2