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Quantum Dynamics With Exotic Symmetries
Quantum Dynamics With Exotic Symmetries
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151420
- ISBN
- 9798384059844
- DDC
- 530
- 서명/저자
- Quantum Dynamics With Exotic Symmetries
- 발행사항
- [Sl] : University of Colorado at Boulder, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 189 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
- 주기사항
- Advisor: Nandkishore, Rahul.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2024.
- 초록/해제
- 요약Symmetries have a long history of importance in physics, especially in the study of dynamics and in quantum many-body systems. From Noether's theorem describing conserved quantities and Landau's program of spontaneous symmetry breaking, to higher-form symmetries in quantum memories and multipole symmetries in Hilbert-space fragmentation, symmetries have provided routes to constraining quantum dynamics. In particular, they can often lead to physical systems being able to store information.In this thesis we present some ways that exotic and modern notions of symmetry can lead to interesting nontrivial quantum dynamics. In the first half, consisting of three chapters, we present a series of projects on higher-form symmetry-protected self-correcting quantum memories and single-shot quantum error correction. We generalize symmetry-protected quantum memories to paramagnetic and Walker-Wang bulks, along with topologically ordered bulks. With the topologically ordered bulk, the symmetry need only be enforced on a boundary. We then construct a new presentation of a single-shot quantum memory and highlight its close connection to symmetry-protected quantum memories.The second half of this thesis consists of two chapters, in which we address two problems related to Hilbert-space shattering and exotic symmetries. First, we study the dynamics of dipole-conserving systems in the hydrodynamics regime. The existence of this regime assumes that the shattering does not play a role, but nevertheless the dipole symmetries have a nontrivial affect on the dispersion relations. Second, we construct a model of shattering that is robust to arbitrary local symmetric perturbations, or to generic perturbations within a prethermal timescale. This model relies on a higher-form symmetry for its robustness.
- 일반주제명
- Condensed matter physics
- 일반주제명
- Quantum physics
- 일반주제명
- Theoretical physics
- 키워드
- Quantum dynamics
- 키워드
- Quantum memories
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 86-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008250123s2024 us c eng d■001000017161605
■00520250211151420
■006m o d
■007cr#unu||||||||
■020 ▼a9798384059844
■035 ▼a(MiAaPQ)AAI31294039
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aStahl, Charles Nicholas.▼0(orcid)0000-0002-9809-5575
■24510▼aQuantum Dynamics With Exotic Symmetries
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a189 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-03, Section: B.
■500 ▼aAdvisor: Nandkishore, Rahul.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2024.
■520 ▼aSymmetries have a long history of importance in physics, especially in the study of dynamics and in quantum many-body systems. From Noether's theorem describing conserved quantities and Landau's program of spontaneous symmetry breaking, to higher-form symmetries in quantum memories and multipole symmetries in Hilbert-space fragmentation, symmetries have provided routes to constraining quantum dynamics. In particular, they can often lead to physical systems being able to store information.In this thesis we present some ways that exotic and modern notions of symmetry can lead to interesting nontrivial quantum dynamics. In the first half, consisting of three chapters, we present a series of projects on higher-form symmetry-protected self-correcting quantum memories and single-shot quantum error correction. We generalize symmetry-protected quantum memories to paramagnetic and Walker-Wang bulks, along with topologically ordered bulks. With the topologically ordered bulk, the symmetry need only be enforced on a boundary. We then construct a new presentation of a single-shot quantum memory and highlight its close connection to symmetry-protected quantum memories.The second half of this thesis consists of two chapters, in which we address two problems related to Hilbert-space shattering and exotic symmetries. First, we study the dynamics of dipole-conserving systems in the hydrodynamics regime. The existence of this regime assumes that the shattering does not play a role, but nevertheless the dipole symmetries have a nontrivial affect on the dispersion relations. Second, we construct a model of shattering that is robust to arbitrary local symmetric perturbations, or to generic perturbations within a prethermal timescale. This model relies on a higher-form symmetry for its robustness.
■590 ▼aSchool code: 0051.
■650 4▼aCondensed matter physics
■650 4▼aQuantum physics
■650 4▼aTheoretical physics
■653 ▼aQuantum dynamics
■653 ▼aGeneric perturbations
■653 ▼aNoether's theorem
■653 ▼aHydrodynamics regime
■653 ▼aQuantum memories
■690 ▼a0611
■690 ▼a0599
■690 ▼a0753
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-03B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161605▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
