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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

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

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Autor(es):
Padmanabhan, Pramod ; Rey, Soo-Jong ; Teixeira, Daniel ; Trancanelli, Diego
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; n. 5 MAY 25 2017.
Citações Web of Science: 8
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: 14/18634-9 - Dualidade gravitação/Teoria de Gauge
Beneficiário:Victor de Oliveira Rivelles
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 15/17885-0 - Testes de precisão da correspondência AdS/CFT
Beneficiário:Diego Trancanelli
Linha de fomento: Auxílio à Pesquisa - Regular
Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
Beneficiário:Nathan Jacob Berkovits
Linha de fomento: Auxílio à Pesquisa - Temático