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Aspects of Universality in Many-Body Systems
Aspects of Universality in Many-Body Systems
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151147
- ISBN
- 9798382720098
- DDC
- 530
- 저자명
- Qi, Marvin.
- 서명/저자
- Aspects of Universality in Many-Body Systems
- 발행사항
- [Sl] : University of Colorado at Boulder, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 198 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-11, Section: B.
- 주기사항
- Advisor: Hermele, Michael;Lucas, Andrew.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2024.
- 초록/해제
- 요약Universality is a feature of many-body physics where systems with different microscopic degrees of freedom and dynamics nevertheless exhibit identical behavior at macroscopic scales. In this dissertation, we investigate new aspects of universality in both equilibrium (zero-temperature) and dynamical settings.For gapped, zero-temperature quantum many-body systems, universality is intimately related to quantum phases of matter: systems in the same phase have the same universal properties. The first part of this thesis is dedicated to a generalization of quantum phases called parametrized quantum phases. We construct a topological invariant of one-dimensional parametrized quantum systems (without symmetry) which captures the universal data of the parametrized phase. When the topological invariant is nontrivial, we show that there is an obstruction to representing the parametrized system with a globally continuous family of matrix product states.The second part of this thesis concerns hydrodynamics, the universal theory governing the dynamics of relaxation toward equilibrium. We propose and analyze new hydrodynamic universality classes for theories with unusual symmetries motivated from the physics of fractons. We develop a hydrodynamic description of higher-rank gauge theories in terms of higher-form symmetries. We then turn to the anomalous hydrodynamics of a vector conserved charge in the presence of triangular point group symmetry, which features an analogue of the chiral anomaly.
- 일반주제명
- Physics
- 일반주제명
- Condensed matter physics
- 일반주제명
- Quantum physics
- 키워드
- Hydrodynamics
- 키워드
- Gauge theories
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 85-11B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211151147
■006m o d
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■020 ▼a9798382720098
■035 ▼a(MiAaPQ)AAI31235053
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aQi, Marvin.▼0(orcid)0000-0003-1123-1157
■24510▼aAspects of Universality in Many-Body Systems
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a198 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-11, Section: B.
■500 ▼aAdvisor: Hermele, Michael;Lucas, Andrew.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2024.
■520 ▼aUniversality is a feature of many-body physics where systems with different microscopic degrees of freedom and dynamics nevertheless exhibit identical behavior at macroscopic scales. In this dissertation, we investigate new aspects of universality in both equilibrium (zero-temperature) and dynamical settings.For gapped, zero-temperature quantum many-body systems, universality is intimately related to quantum phases of matter: systems in the same phase have the same universal properties. The first part of this thesis is dedicated to a generalization of quantum phases called parametrized quantum phases. We construct a topological invariant of one-dimensional parametrized quantum systems (without symmetry) which captures the universal data of the parametrized phase. When the topological invariant is nontrivial, we show that there is an obstruction to representing the parametrized system with a globally continuous family of matrix product states.The second part of this thesis concerns hydrodynamics, the universal theory governing the dynamics of relaxation toward equilibrium. We propose and analyze new hydrodynamic universality classes for theories with unusual symmetries motivated from the physics of fractons. We develop a hydrodynamic description of higher-rank gauge theories in terms of higher-form symmetries. We then turn to the anomalous hydrodynamics of a vector conserved charge in the presence of triangular point group symmetry, which features an analogue of the chiral anomaly.
■590 ▼aSchool code: 0051.
■650 4▼aPhysics
■650 4▼aCondensed matter physics
■650 4▼aQuantum physics
■653 ▼aCondensed matter theory
■653 ▼aMany body physics
■653 ▼aHydrodynamics
■653 ▼aMacroscopic scales
■653 ▼aGauge theories
■690 ▼a0605
■690 ▼a0599
■690 ▼a0611
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-11B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160994▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
