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  Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Villani, M., Albareda Piquer, G., Destefani, C., Cartoixà, X., & Oriols, X. (2021). Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators. Entropy, 23(4): 408. doi:10.3390/e23040408.

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entropy-23-00408.pdf (Publisher version), 13MB
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entropy-23-00408.pdf
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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2021
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© by the authors. Licensee MDPI, Basel, Switzerland.

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https://dx.doi.org/10.3390/e23040408 (Publisher version)
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 Creators:
Villani, M.1, Author
Albareda Piquer, G.2, 3, Author              
Destefani, C.1, Author
Cartoixà, X.1, Author
Oriols, X.1, Author
Affiliations:
1Department of Electronic Engineering, Universitat Autònoma de Barcelona, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Institute of Theoretical and Computational Chemistry, Universitat de Barcelona, ou_persistent22              

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Free keywords: quantum dissipation; Bohmian mechanics; collision; conditional wave function; decoherence; open systems; many-body problem
 Abstract: Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).

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Language(s): eng - English
 Dates: 2021-02-042021-03-242021-03-302021-04
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.3390/e23040408
 Degree: -

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Project name : -
Grant ID : 881603
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)

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Title: Entropy
  Abbreviation : Entropy
Source Genre: Journal
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Publ. Info: Basel : MDPI
Pages: - Volume / Issue: 23 (4) Sequence Number: 408 Start / End Page: - Identifier: ISSN: 1099-4300
CoNE: https://pure.mpg.de/cone/journals/resource/110978984445793