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
Artikel, Zweitveröffentlichung, Verlagsversion
 | Es ist eine neuere Version dieses Eintrags verfügbar. |
Kurzbeschreibung (Abstract)
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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2023 |
| Autor(en): | Hofmann, Marco ; Drossel, Barbara |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Dephasing versus collapse: lessons from the tight-binding model with noise |
| Sprache: | Englisch |
| Publikationsjahr: | 21 November 2023 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 19 Oktober 2021 |
| Ort der Erstveröffentlichung: | London |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | New Journal of Physics |
| Jahrgang/Volume einer Zeitschrift: | 23 |
| (Heft-)Nummer: | 10 |
| Kollation: | 16 Seiten |
| DOI: | 10.26083/tuprints-00020618 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/20618 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | 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. |
| Freie Schlagworte: | quantum-to-classical transition, Lindblad master equation, localization, dephasing, quantum state diffusion |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-206182 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Physik Kondensierter Materie (IPKM) |
| Hinterlegungsdatum: | 21 Nov 2023 10:44 |
| Letzte Änderung: | 27 Nov 2023 10:35 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Dephasing versus collapse: lessons from the tight-binding model with noise. (deposited 21 Nov 2023 10:44) [Gegenwärtig angezeigt]
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