Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids

Autor(es)

Canella, G. A. ^[1] ; Franca, V. V. ^[1]

Afiliação do(s) autor(es)

^[1] Sao Paulo State Univ, Inst Chem, BR-14800090 Araraquara, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SCIENTIFIC REPORTS; v. 9, OCT 25 2019.
• Citações Web of Science: 0

Resumo

We use entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. Entanglement is found to have remarkable signatures of the SIT driven by i) the disorder strength V, ii) the concentration of impurities C and iii) the particle density n. Our results reveal the absence of a critical potential intensity on the SIT driven by V, i.e. any small V suffices to decrease considerably the degree of entanglement: it drops similar to 50% for V = -0.25t. We also find that entanglement is non-monotonic with the concentration C, approaching to zero for a certain critical value CC. This critical concentration is found to be related to a special type of localization, here named as fully-localized state, which can be also reached for a particular density n(C). Our results show that the SIT driven by n or C has distinct nature whether it leads to the full localization or to the ordinary one: it is a first-order quantum phase transition only when leading to full localization. In contrast, the SIT driven by V is never a first-order quantum phase transition independently on the type of localization reached. (AU)

• Processo FAPESP: 13/15982-3 - Teoria do funcional da densidade e aplicações em sólidos e átomos frios
• Beneficiário: Vivian Vanessa França Henn
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores