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Single-particle approach to many-body relaxation dynamics

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dc.contributor.author Pelc, Marta
dc.contributor.author Dams, David
dc.contributor.author Ghosh, Abhishek
dc.contributor.author Kosik, Miriam
dc.contributor.author Muller, Marvin M.
dc.contributor.author Bryant, Garnett
dc.contributor.author Rockstuhl, Carsten
dc.contributor.author Ayuela, Andres
dc.contributor.author Słowik, Karolina
dc.date.accessioned 2024-02-06T20:03:02Z
dc.date.available 2024-02-06T20:03:02Z
dc.date.issued 2024-02-06
dc.identifier.uri http://repozytorium.umk.pl/handle/item/6975
dc.description.abstract This study addresses the challenge of modeling relaxation dynamics in quantum many-body systems, specifically focusing on electrons in graphene nanoflakes. While quantum many-body techniques effectively describe dynamics up to a few particles, these approaches become computationally intractable for large systems. Larger systems may be tackled with a single-particle approach that, however, struggles to incorporate relaxation effects. Existing relaxation models encounter issues such as an inability to capture system complexity and violation of the Pauli principle. In this work, we propose a novel single-particle model that accounts for various relaxation effects at the crossroads of quantum optics and solid-state photonics, that overcomes the limitations of previous models. Our approach is rooted in the quantum-optical Lindblad model, where relaxation rates are deactivated once the target levels saturate due to the Pauli principle. This approach is referred to as the saturated-Lindblad model. To validate the predictions of the saturated-Lindblad model, we confront them against phenomenological and many-body physics models in low-dimensional systems, including atomic chains and graphene nanoflakes. Remarkably, the saturated-Lindblad model exhibits excellent agreement with few-body calculations, distinguishing itself from other existing approaches. Moreover, by assigning different relaxation rates to different transitions, we successfully reproduce cascade de-excitation dynamics and predict emission spectra. The saturated-Lindblad model offers the ability to describe dynamics in systems of practical sizes, encompassing a wide range of structures that can be effectively captured within the single-particle description.
dc.description.sponsorship This research was funded by: National Science Centre, Poland (Project No. 2020/39/I/ST3/00526), German Research Foundation within the Project (RO 3640/14-1 under project number - 465163297), German Research Foundation within the Project (RO 3640/8-1 under project number 378579271), Spanish Ministry of Science and Innovation grants PID2019-105488GB-I00 and TED2021-132074B-C32, European Commission projects MIRACLE (ID 964450), NaturSea-PV (ID 101084348), and NRG-STORAGE (GA 870114), Basque Government, project no. IT-1569-22 .
dc.language.iso eng
dc.rights Attribution 4.0 Poland
dc.rights.uri https://creativecommons.org/licenses/by/4.0/deed.pl
dc.subject relaxation dynamics
dc.subject Lindblad model
dc.subject many-body
dc.subject graphene flakes
dc.subject SSH chains
dc.title Single-particle approach to many-body relaxation dynamics
dc.type info:eu-repo/semantics/article


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