자료유형  

 학위논문

Control Number  

0016932060

International Standard Book Number  

9798379704278

Dewey Decimal Classification Number  

530

Main Entry-Personal Name  

Zhang, Carolyn Chuchu.

Publication, Distribution, etc. (Imprint  

[S.l.] : The University of Chicago., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(111 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

General Note  

Advisor: Levin, Michael A.

Dissertation Note  

Thesis (Ph.D.)--The University of Chicago, 2023.

Restrictions on Access Note  

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

Summary, Etc.  

요약We present a collection of three short stories on the applications of simple toy models in different topics in condensed matter theory. These stories describe examples of new toy models and methods for solving them exactly, as well as limitations of certain kinds of toy models. The models we construct provide to a refined understanding of complex physical phenomena, by distilling the phenomena down to their minimal ingredients.The first story describes an exactly solvable model for an unusual kind of phase transition called a deconfined quantum critical point (DQCP). While these kinds of quantum critical points have been hypothesized and intensely studied from field theory and numerical perspectives, their exact nature is still disputed. Our model provides the first example of a DQCP that can be solved exactly on the lattice, and gives a clear picture of the physical mechanism behind the transition. The second story presents a simple, exactly solvable model for a transition in the entanglement dynamics of a quantum system. Like DQCPs, entanglement transitions have been explored mainly through numerical work and field theory approximations, with very limited exact results. We present both the model and a novel means of solving it - by a mapping to Mobius transformations. The third story is about limitations of exactly solvable models. We show that, although these models can be constructed for broad classes of topological phases of matter, they cannot be constructed for certain phases - namely those with a nonzero Hall conductance.

Subject Added Entry-Topical Term  

Condensed matter physics.

Subject Added Entry-Topical Term  

Theoretical physics.

Subject Added Entry-Topical Term  

Physics.

Index Term-Uncontrolled  

Entanglement

Index Term-Uncontrolled  

Quantum criticality

Index Term-Uncontrolled  

Quantum dynamics

Index Term-Uncontrolled  

Topological phases

Index Term-Uncontrolled  

Physical mechanism

Added Entry-Corporate Name  

The University of Chicago Physics

Host Item Entry  

Dissertations Abstracts International. 84-12B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:643671