Supersymmetric many-body systems from partial symmetries - integrability, localization and scrambling

Autor(es)

Padmanabhan, Pramod ; Rey, Soo-Jong ; Teixeira, Daniel ; Trancanelli, Diego

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 5, p. 40-pg., 2017-05-25.

Resumo

Partial symmetries are described by generalized group structures known as symmetric inverse semigroups. We use the algebras arising from these structures to realize supersymmetry in (0+1) dimensions and to build many-body quantum systems on a chain. This construction consists in associating appropriate supercharges to chain sites, in analogy to what is done in spin chains. For simple enough choices of supercharges, we show that the resulting states have a finite non-zero Witten index, which is invariant under perturbations, therefore defining supersymmetric phases of matter protected by the index. The Hamiltonians we obtain are integrable and display a spectrum containing both product and entangled states. By introducing disorder and studying the out-of-time-ordered correlators (OTOC), we find that these systems are in the many-body localized phase and do not thermalize. Finally, we reformulate a theorem relating the growth of the second Renyi entropy to the OTOC on a thermal state in terms of partial symmetries. (AU)

• Processo FAPESP: 15/17885-0 - Testes de precisão da correspondência AdS/CFT
• Beneficiário: Diego Trancanelli
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/18634-9 - Dualidade gravitação/Teoria de Gauge
• Beneficiário: Victor de Oliveira Rivelles
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais