Quantum phase transitions and localization in semigroup Fredkin spin chain

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Title
Quantum phase transitions and localization in semigroup Fredkin spin chain
Author(s)
Pramod Padmanabhan; Fumihiko Sugino; Korepin V.
Publication Date
2019-03
Journal
QUANTUM INFORMATION PROCESSING, v.18, no.3, pp.69 -
Publisher
SPRINGER
Abstract
We construct an extended quantum spin chain model by introducing new degrees of freedom to the Fredkin spin chain. The new degrees of freedom called arrow indices are partly associated with the symmetric inverse semigroup S13. Ground states of the model fall into three different phases, and quantum phase transition takes place at each phase boundary. One of the phases exhibits logarithmic violation of the area law of entanglement entropy and quantum criticality, whereas the other two obey the area law. As an interesting feature arising by the extension, there are excited states due to disconnections with respect to the arrow indices. We show that these states are localized without disorder. © 2019, Springer Science+Business Media, LLC, part of Springer Nature
URI
https://pr.ibs.re.kr/handle/8788114/5682
ISSN
1570-0755
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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