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Pramod Padmanabhan
복잡계 이론물리 연구단
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Supersymmetric many-body systems from partial symmetries — integrability, localization and scrambling

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Title
Supersymmetric many-body systems from partial symmetries — integrability, localization and scrambling
Author(s)
Pramod Padmanabhan; Soo-Jong Rey; Teixeira D.; Trancanelli D.
Publication Date
2017-05
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2017, no.5, pp.136 -
Publisher
SPRINGER
Abstract
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 Rényi entropy to the OTOC on a thermal state in terms of partial symmetries. © 2017, The Author(s)
URI
https://pr.ibs.re.kr/handle/8788114/3713
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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10.1007_JHEP05(2017)136.pdfDownload

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