Wehrl entropy production rate across a dynamical quantum phase transition

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dc.creatorGoes, Bruno Ortega
dc.creatorLandi, Gabriel Teixeira
dc.creatorSolano, E.
dc.creatorSanz, Mikel
dc.creatorCéleri, Lucas Chibebe
dc.date.accessioned2023-05-04T12:53:41Z
dc.date.available2023-05-04T12:53:41Z
dc.date.issued2020
dc.description.resumoThe quench dynamics of many-body quantum systems may exhibit non-analyticities in the Loschmidt echo, a phenomenon known as dynamical phase transition (DPT). Despite considerable research into the underlying mechanisms behind this phenomenon, several open questions still remain. Motivated by this, we put forth a detailed study of DPTs from the perspective of quantum phase space and entropy production, a key concept in thermodynamics. We focus on the Lipkin-Meshkov-Glick model and use spin coherent states to construct the corresponding Husimi-Q quasi-probability distribution. The entropy of the Q-function, known as Wehrl entropy, provides a measure of the coarse-grained dynamics of the system and, therefore, evolves non-trivially even for closed systems. We show that critical quenches lead to a quasi-monotonic growth of the Wehrl entropy in time, combined with small oscillations. The former reflects the information scrambling characteristic of these transitions and serves as a measure of entropy production. On the other hand, the small oscillations imply negative entropy production rates and, therefore, signal the recurrences of the Loschmidt echo. Finally, we also study a Gaussification of the model based on a modified Holstein-Primakoff approximation. This allows us to identify the relative contribution of the low energy sector to the emergence of DPTs. The results presented in this article are relevant not only from the dynamical quantum phase transition perspective, but also for the field of quantum thermodynamics, since they point out that the Wehrl entropy can be used as a viable measure of entropy production.pt_BR
dc.identifier.citationGOES, B. O.; LANDI, G. T.; SOLANO, E.; SANZ, M. CÉLERI, L. C. Wehrl entropy production rate across a dynamical quantum phase transition. Physical Review Research, Washington, v. 2, e033419, 2020. DOI: 10.1103/PhysRevResearch.2.033419. Disponível em: https://arxiv.org/abs/2004.01126. Acesso em: 2 maio 2023.pt_BR
dc.identifier.doihttps://doi.org/10.1103/PhysRevResearch.2.033419
dc.identifier.issne- 2643-1564
dc.identifier.urihttp://repositorio.bc.ufg.br/handle/ri/22459
dc.language.isoengpt_BR
dc.publisher.countryEstados unidospt_BR
dc.publisher.departmentInstituto de Física - IF (RG)pt_BR
dc.rightsAcesso Abertopt_BR
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleWehrl entropy production rate across a dynamical quantum phase transitionpt_BR
dc.typeArtigopt_BR

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