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Topological Phases, Entanglement and Boson Condensation

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서명/저자사항Topological Phases, Entanglement and Boson Condensation.
개인저자He, Huan City.
단체저자명Princeton University. Physics.
발행사항[S.l.]: Princeton University., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항241 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781085640237
학위논문주기Thesis (Ph.D.)--Princeton University, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Bernevig, Bodgan Andrei.
이용제한사항This item must not be sold to any third party vendors.
요약This dissertation investigates the boson condensation of topological phases and the entanglement entropies of exactly solvable models.First, the bosons in a "parent" (2+1)D topological phase can be condensed to obtain a "child" topological phase. We prove that the boson condensation formalism necessarily has a pair of modular matrix conditions: the modular matrices of the parent and the child topological phases are connected by an integer matrix. These two modular matrix conditions serve as a numerical tool to search for all possible boson condensation transitions from the parent topological phase, and predict the child topological phases. As applications of the modular matrix conditions, (1) we recover the Kitaev's 16-fold way, which classies 16 dierent chiral superconductors in (2+1)D
일반주제명Condensed matter physics.
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