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Grüneisen parameter as an entanglement compass and the breakdown of the Hellmann-Feynman theorem

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Autor(es):
Squillante, Lucas ; Ricco, Luciano S. ; Ukpong, Aniekan Magnus ; Lagos-Monaco, Roberto E. ; Seridonio, Antonio C. ; de Souza, Mariano
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW B; v. 108, n. 14, p. 5-pg., 2023-10-06.
Resumo

The Gruneisen ratio Gamma, i.e., the singular part of the ratio of thermal expansion to the specific heat, has been broadly employed to explore both finite T and quantum critical points (QCPs). For a genuine quantum phase transition (QPT), thermal fluctuations are absent and thus the thermodynamic Gamma cannot be employed. We propose a quantum analog to Gamma that computes entanglement as a function of a tuning parameter lambda and show that QPTs take place only for systems in which the ground-state energy depends on lambda nonlinearly. Furthermore, we demonstrate the breakdown of the Hellmann-Feynman theorem in the thermodynamic limit at any QCP. We showcase our approach using the quantum one-dimensional Ising model with a transverse field and Kane's quantum computer. The slowing down of the dynamics and thus the "creation of mass" close to any QCP/QPT is also discussed. (AU)

Processo FAPESP: 11/22050-4 - Investigação das propriedades termodinâmicas e de transporte de sistemas eletrônicos fortemente correlacionados
Beneficiário:Valdeci Pereira Mariano de Souza
Modalidade de apoio: Auxílio à Pesquisa - Regular