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Symmetry, Topology and Entanglement in Quantum Many-Body Systems.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Symmetry, Topology and Entanglement in Quantum Many-Body Systems./
作者:	Liu, Shang.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
面頁冊數:	285 p.
附註:	Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
Contained By:	Dissertations Abstracts International83-02B.
標題:	Physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28496460
ISBN:	9798534672565

Symmetry, Topology and Entanglement in Quantum Many-Body Systems.
Liu, Shang.

Symmetry, Topology and Entanglement in Quantum Many-Body Systems. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 285 p.

Source: Dissertations Abstracts International, Volume: 83-02, Section: B.

Thesis (Ph.D.)--Harvard University, 2021.

This item must not be sold to any third party vendors.

Symmetry, topology and entanglement are three indispensable concepts for our understanding of quantum many-body systems. In this dissertation, we demonstrate the use and interplay of these concepts with four distinct topics. The first part focuses on two-dimensional (2D) symmetry protected topological (SPT) phases with lattice rotation symmetries. We start by discussing a prototypical example that exhibits interesting topological responses, and then investigate general aspects of rotation protected topology. In the second part, we report on a Hartree-Fock calculation of possible symmetry-broken phases in magic angle bilayer graphene at charge neutrality, assuming that the valley U(1) symmetry is preserved. Our solutions include both correlated insulators and nematic topological semimetals, whose relative stability can be tuned by weak strains. In the third part, inspired by the recent studies on gapless SPT states, we examine the fate of magnetic impurities at 2+1D quantum critical points. We introduced a series of large-N solvable impurity models which, as a consequence of topology, demonstrate intermediate coupling fixed points. In the last part, we develop a diagrammatic method to compute the entanglement properties of random mixed states which are obtained by partial tracing random pure states and are relevant for a variety of problems ranging from chaotic quantum dynamics to black hole physics.

ISBN: 9798534672565Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Two-dimensional symmetry protected topological phases

Symmetry, Topology and Entanglement in Quantum Many-Body Systems.
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