Kibble-Zurek Scaling from Linear Response Theory - BV FAPESP
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Kibble-Zurek Scaling from Linear Response Theory

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Autor(es):
Naze, Pierre ; Bonanca, Marcus V. S. ; Deffner, Sebastian
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Entropy; v. 24, n. 5, p. 14-pg., 2022-05-01.
Resumo

While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that capture the properties of thermodynamic phase transitions also apply in the quantum case. Concerning the crossing of thermodynamic critical points and describing its non-equilibrium dynamics, the Kibble-Zurek mechanism and linear response theory have been demonstrated to be among the very successful approaches. In the present work, we show that these two approaches are also consistent in the description of quantum phase transitions, and that linear response theory can even inform arguments of the Kibble-Zurek mechanism. In particular, we show that the relaxation time provided by linear response theory gives a rigorous argument for why to identify the "gap" as a relaxation rate, and we verify that the excess work computed from linear response theory exhibits Kibble-Zurek scaling. (AU)

Processo FAPESP: 18/06365-4 - Otimização do trabalho termodinâmico em sistemas fora do equilíbrio
Beneficiário:Pierre Marie Antoine Leite Nazé
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 18/21285-7 - Otimização do trabalho termodinâmico com machine learning control
Beneficiário:Pierre Marie Antoine Leite Nazé
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
Processo FAPESP: 20/02170-4 - Processo termodinâmicos ótimos em sistemas fora do equilíbrio
Beneficiário:Marcus Vinicius Segantini Bonança
Modalidade de apoio: Auxílio à Pesquisa - Regular