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Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise
We outline formal and physical similarities between the quantum dynamics of open systems and the mesoscopic description of classical systems affected by weak noise. The main tool of our interest is the dissipative Wigner equation, which, for suitable timescales, becomes analogous to the Fokker–Planc...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10047867/ https://www.ncbi.nlm.nih.gov/pubmed/36981299 http://dx.doi.org/10.3390/e25030411 |
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author | Lippolis, Domenico Shudo, Akira |
author_facet | Lippolis, Domenico Shudo, Akira |
author_sort | Lippolis, Domenico |
collection | PubMed |
description | We outline formal and physical similarities between the quantum dynamics of open systems and the mesoscopic description of classical systems affected by weak noise. The main tool of our interest is the dissipative Wigner equation, which, for suitable timescales, becomes analogous to the Fokker–Planck equation describing classical advection and diffusion. This correspondence allows, in principle, to surmise a finite resolution, other than the Planck scale, for the quantized state space of the open system, particularly meaningful when the latter underlies chaotic classical dynamics. We provide representative examples of the quantum-stochastic parallel with noisy Hopf cycles and Van der Pol-type oscillators. |
format | Online Article Text |
id | pubmed-10047867 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-100478672023-03-29 Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise Lippolis, Domenico Shudo, Akira Entropy (Basel) Article We outline formal and physical similarities between the quantum dynamics of open systems and the mesoscopic description of classical systems affected by weak noise. The main tool of our interest is the dissipative Wigner equation, which, for suitable timescales, becomes analogous to the Fokker–Planck equation describing classical advection and diffusion. This correspondence allows, in principle, to surmise a finite resolution, other than the Planck scale, for the quantized state space of the open system, particularly meaningful when the latter underlies chaotic classical dynamics. We provide representative examples of the quantum-stochastic parallel with noisy Hopf cycles and Van der Pol-type oscillators. MDPI 2023-02-24 /pmc/articles/PMC10047867/ /pubmed/36981299 http://dx.doi.org/10.3390/e25030411 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Lippolis, Domenico Shudo, Akira Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title | Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title_full | Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title_fullStr | Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title_full_unstemmed | Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title_short | Towards the Resolution of a Quantized Chaotic Phase-Space: The Interplay of Dynamics with Noise |
title_sort | towards the resolution of a quantized chaotic phase-space: the interplay of dynamics with noise |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10047867/ https://www.ncbi.nlm.nih.gov/pubmed/36981299 http://dx.doi.org/10.3390/e25030411 |
work_keys_str_mv | AT lippolisdomenico towardstheresolutionofaquantizedchaoticphasespacetheinterplayofdynamicswithnoise AT shudoakira towardstheresolutionofaquantizedchaoticphasespacetheinterplayofdynamicswithnoise |