자료유형  

 학위논문

Control Number  

0016932288

International Standard Book Number  

9798379604523

Dewey Decimal Classification Number  

530

Main Entry-Personal Name  

Fan, Ruihua.

Publication, Distribution, etc. (Imprint  

[S.l.] : Harvard University., 2023

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2023

Physical Description  

1 online resource(271 p.)

General Note  

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

General Note  

Advisor: Vishwanath, Ashvin.

Dissertation Note  

Thesis (Ph.D.)--Harvard University, 2023.

Restrictions on Access Note  

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

Summary, Etc.  

요약Entanglement as a fundamental aspect of quantum mechanics plays a crucial role in many-body systems. Quantum dynamics, due to the intricate interplay between the locality of the interaction and the non-local nature of entanglement, greatly enriches the phenomena and brings the subject to the next complexity. In this dissertation, I will investigate entanglement and dynamics in low-dimensional systems from various perspectives. Chapter 1 examines the relationship between entanglement and topology in gapped quantum systems. We introduce a new framework called entanglement response, which offers a new perspective on the previously conjectured modular commutator formula that extracts the chiral central charge. Moreover, by incorporating global symmetries, we derive a new formula for the quantum Hall conductance. Chapter 2 extends our analysis of entanglement to mixed states. In particular, we inquire how entanglement can be used to define topological order in mixed states that are obtained by applying local decoherence to gapped ground states. This problem is naturally related to the active error correction, as we will address. Chapter 3 focuses on the dynamics of one-dimensional conformal field theories under specially engineered Floquet driving. We show that the Floquet dynamics support a heating phase that exhibits robust superuniversal features that rely only on conformal invariance. This heating phase is also shown to be useful in efficiently cooling. Chapter 4 delves into the entanglement dynamics of one-dimensional random unitary circuit doped with projective measurement. We focus on the limit where the measurement happens with a small probability. We will offer an explanation of the stability of the steady state by invoking the idea of quantum error correction. 

Subject Added Entry-Topical Term  

Condensed matter physics.

Subject Added Entry-Topical Term  

Quantum physics.

Subject Added Entry-Topical Term  

Physics.

Index Term-Uncontrolled  

Conformal field theory

Index Term-Uncontrolled  

Quantum dynamics

Index Term-Uncontrolled  

Quantum entanglement

Index Term-Uncontrolled  

Quantum error correction

Index Term-Uncontrolled  

Topological phases

Added Entry-Corporate Name  

Harvard University 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:639347