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  Stochastic Schrödinger Equations and Conditional States: A General Non-Markovian Quantum Electron Transport Simulator for THz Electronics

Pandey, D., Colomés, E., Albareda Piquer, G., & Oriols, X. (2019). Stochastic Schrödinger Equations and Conditional States: A General Non-Markovian Quantum Electron Transport Simulator for THz Electronics. Entropy, 21(12): 1148. doi:10.3390/e21121148.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-451D-E Version Permalink: http://hdl.handle.net/21.11116/0000-0005-456B-6
Genre: Journal Article

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entropy-21-01148.pdf (Publisher version), 4MB
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entropy-21-01148.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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2019
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https://dx.doi.org/10.3390/e21121148 (Publisher version)
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 Creators:
Pandey, D.1, Author
Colomés, E.1, Author
Albareda Piquer, G.1, 2, 3, Author              
Oriols, X.1, Author
Affiliations:
1Departament d’Enginyeria Electrònica, 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: conditional states; conditional wavefunction; Markovian and Non-Markovian dynamics; stochastic Schrödinger equation; quantum electron transport
 Abstract: A prominent tool to study the dynamics of open quantum systems is the reduced density matrix. Yet, approaching open quantum systems by means of state vectors has well known computational advantages. In this respect, the physical meaning of the so-called conditional states in Markovian and non-Markovian scenarios has been a topic of recent debate in the construction of stochastic Schrödinger equations. We shed light on this discussion by acknowledging the Bohmian conditional wavefunction (linked to the corresponding Bohmian trajectory) as the proper mathematical object to represent, in terms of state vectors, an arbitrary subset of degrees of freedom. As an example of the practical utility of these states, we present a time-dependent quantum Monte Carlo algorithm to describe electron transport in open quantum systems under general (Markovian or non-Markovian) conditions. By making the most of trajectory-based and wavefunction methods, the resulting simulation technique extends to the quantum regime, the computational capabilities that the Monte Carlo solution of the Boltzmann transport equation offers for semi-classical electron devices.

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Language(s): eng - English
 Dates: 2019-10-252019-11-212019-11-252019-12
 Publication Status: Published in print
 Pages: 25
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.3390/e21121148
 Degree: -

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Title: Entropy
  Abbreviation : Entropy
Source Genre: Journal
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Publ. Info: Basel : MDPI
Pages: 25 Volume / Issue: 21 (12) Sequence Number: 1148 Start / End Page: - Identifier: ISSN: 1099-4300
CoNE: https://pure.mpg.de/cone/journals/resource/110978984445793