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Dephasing versus collapse: lessons from the tight-binding model with noise

Hofmann, Marco ; Drossel, Barbara (2023)
Dephasing versus collapse: lessons from the tight-binding model with noise.
In: New Journal of Physics, 2021, 23 (10)
doi: 10.26083/tuprints-00020618
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Dephasing versus collapse: lessons from the tight-binding model with noise
Language: English
Date: 21 November 2023
Place of Publication: Darmstadt
Year of primary publication: 19 October 2021
Place of primary publication: London
Publisher: IOP Publishing
Journal or Publication Title: New Journal of Physics
Volume of the journal: 23
Issue Number: 10
Collation: 16 Seiten
DOI: 10.26083/tuprints-00020618
Corresponding Links:
Origin: Secondary publication DeepGreen

Condensed matter physics at room temperature usually assumes that electrons in conductors can be described as spatially narrow wave packets—in contrast to what the Schrödinger equation would predict. How a finite-temperature environment can localize wave functions is still being debated. Here, we represent the environment by a fluctuating potential and investigate different unravellings of the Lindblad equation that describes the one-dimensional tight-binding model in the presence of such a potential. While all unravellings show a fast loss of phase coherence, only part of them lead to narrow wave packets, among them the quantum-state diffusion unravelling. Surprisingly, the decrease of the wave packet width for the quantum state diffusion model with increasing noise strength is slower than that of the phase coherence length. In addition to presenting analytical and numerical results, we also provide phenomenological explanations for them. We conclude that as long as no feedback between the wave function and the environment is taken into account, there will be no unique description of an open quantum system in terms of wave functions. We consider this to be an obstacle to understanding the quantum-classical transition.

Uncontrolled Keywords: quantum-to-classical transition, Lindblad master equation, localization, dephasing, quantum state diffusion
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-206182
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute for Condensed Matter Physics
Date Deposited: 21 Nov 2023 10:44
Last Modified: 09 Jan 2024 08:54
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/20618
PPN: 514510781
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