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Universal scaling in far-from-equilibrium quantum systems: An equivalent differential approach

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Autor(es):
Madeira, Lucas ; Garcia-Orozco, ArnolD. ; Moreno-Armijos, Michelle A. ; Fritsch, Amilson R. ; Bagnato, Vanderlei S.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA; v. 121, n. 30, p. 8-pg., 2024-07-23.
Resumo

Recent progress in out-of-equilibrium closed quantum systems has significantly advanced the understanding of mechanisms behind their evolution toward thermalization. Notably, the concept of nonthermal fixed points (NTFPs)-responsible for the emergence of spatiotemporal universal scaling in far-from-equilibrium systems- has played a crucial role in both theoretical and experimental investigations. In this work, we introduce a differential equation that has the universal scaling associated with NTFPs as a solution. The advantage of working with a differential equation, rather than only with its solution, is that we can extract several insightful properties not necessarily present in the solution alone. How the differential equation is derived allows physical interpretation of the universal exponents in terms of the time dependence of the amplitude of the distributions and their momentum scaling. Employing two limiting cases of the equation, we determined the universal exponents related to the scaling using the distributions near just two momentum values. We established a solid agreement with previous investigations by validating this approach with three distinct physical systems. This consistency highlights the universal nature of scaling due to NTFPs and emphasizes the predictive capabilities of the proposed differential equation. Moreover, under specific conditions, the equation predicts a power-law related to the ratio of the two universal exponents, leading to implications concerning particle and energy transport. This suggests that the observed power-laws in far-from-equilibrium turbulent fluids could be related to the universal scaling due to NTFPs, potentially offering insights into the study of turbulence. (AU)

Processo FAPESP: 22/00697-0 - Estudo de sistemas quânticos fora do equilíbrio: geração da turbulência e a detecção de pontos fixos não térmicos
Beneficiário:Amilson Rogelso Fritsch
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 14/50857-8 - INCT 2014 - de Óptica Básica e Aplicada às Ciências da Vida
Beneficiário:Vanderlei Salvador Bagnato
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 23/04451-9 - Computação de alto desempenho aplicada em fluidos quânticos
Beneficiário:Lucas Madeira
Modalidade de apoio: Bolsas no Brasil - Programa Capacitação - Treinamento Técnico
Processo FAPESP: 13/07276-1 - CEPOF - Centro de Pesquisa em Óptica e Fotônica
Beneficiário:Vanderlei Salvador Bagnato
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs