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Quantum Entanglement and Dynamics of Low-Dimensional Quantum Many-Body Systems- [electronic resource]
Quantum Entanglement and Dynamics of Low-Dimensional Quantum Many-Body Systems- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214100438
- ISBN
- 9798379604523
- DDC
- 530
- 저자명
- Fan, Ruihua.
- 서명/저자
- Quantum Entanglement and Dynamics of Low-Dimensional Quantum Many-Body Systems - [electronic resource]
- 발행사항
- [S.l.]: : Harvard University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(271 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- 주기사항
- Advisor: Vishwanath, Ashvin.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 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.
- 일반주제명
- Quantum physics.
- 일반주제명
- Physics.
- 키워드
- Quantum dynamics
- 기타저자
- Harvard University Physics
- 기본자료저록
- Dissertations Abstracts International. 84-12B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214100438
■006m o d
■007cr#unu||||||||
■020 ▼a9798379604523
■035 ▼a(MiAaPQ)AAI30491003
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aFan, Ruihua.▼0(orcid)0000-0003-0511-2581
■24510▼aQuantum Entanglement and Dynamics of Low-Dimensional Quantum Many-Body Systems▼h[electronic resource]
■260 ▼a[S.l.]:▼bHarvard University. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(271 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 84-12, Section: B.
■500 ▼aAdvisor: Vishwanath, Ashvin.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aEntanglement 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.
■590 ▼aSchool code: 0084.
■650 4▼aCondensed matter physics.
■650 4▼aQuantum physics.
■650 4▼aPhysics.
■653 ▼aConformal field theory
■653 ▼aQuantum dynamics
■653 ▼aQuantum entanglement
■653 ▼aQuantum error correction
■653 ▼aTopological phases
■690 ▼a0611
■690 ▼a0599
■690 ▼a0605
■71020▼aHarvard University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g84-12B.
■773 ▼tDissertation Abstract International
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16932288▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
