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Aspects of Dynamics in Models of Interacting Classical and Quantum Systems
Aspects of Dynamics in Models of Interacting Classical and Quantum Systems
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151400
- ISBN
- 9798382806884
- DDC
- 530
- 저자명
- Shivam, Saumya.
- 서명/저자
- Aspects of Dynamics in Models of Interacting Classical and Quantum Systems
- 발행사항
- [Sl] : Princeton University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 158 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Sondhi, S. L.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2024.
- 초록/해제
- 요약The dynamics of interacting many-body systems are difficult to solve exactly. However, simple models of interactions provide insight into the universal properties of such dynamics. In this dissertation, we identify such model independent properties in some classical and quantum systems. First, we introduce a model of evolution of epidemics with asymptomatic infections and recursive contact tracing. We show the existence of a critical line separating regimes of epidemic growth and suppression. This critical line is shown to share its universality class with standard percolation. Then, we move onto quantum systems. We provide evidence that spectral correlations in translationally invariant random quantum circuits approach those corresponding to a random matrix. In addition, we identify a new universal regime during the approach of the spectral form factor to random matrix values. We also propose a conjecture about the space-time dual version of such circuits : they should approach a non-unitary Ginibre random ensemble. Next, we discuss properties of the states evolving under similar interacting dynamics. Specifically, we consider how estimates of expectation values - obtained using a classical representation of the quantum state - change with time. We also construct a new hybrid classical-quantum representation of a quantum state by measuring some of the qubits. Finally, we propose using the native interactions in a trapped-ion quantum computer to enhance performance in the near-term. This can be done by defining a small number of virtual qubits inside each ion, and should lead to fewer native operations and lower error rates.
- 일반주제명
- Physics
- 일반주제명
- Quantum physics
- 일반주제명
- Condensed matter physics
- 일반주제명
- Theoretical physics
- 키워드
- Quantum chaos
- 키워드
- Trapped-ions
- 키워드
- Epidemic growth
- 기타저자
- Princeton University Physics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798382806884
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■040 ▼aMiAaPQ▼cMiAaPQ
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■1001 ▼aShivam, Saumya.▼0(orcid)0000-0002-7957-153X
■24510▼aAspects of Dynamics in Models of Interacting Classical and Quantum Systems
■260 ▼a[Sl]▼bPrinceton University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a158 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Sondhi, S. L.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2024.
■520 ▼aThe dynamics of interacting many-body systems are difficult to solve exactly. However, simple models of interactions provide insight into the universal properties of such dynamics. In this dissertation, we identify such model independent properties in some classical and quantum systems. First, we introduce a model of evolution of epidemics with asymptomatic infections and recursive contact tracing. We show the existence of a critical line separating regimes of epidemic growth and suppression. This critical line is shown to share its universality class with standard percolation. Then, we move onto quantum systems. We provide evidence that spectral correlations in translationally invariant random quantum circuits approach those corresponding to a random matrix. In addition, we identify a new universal regime during the approach of the spectral form factor to random matrix values. We also propose a conjecture about the space-time dual version of such circuits : they should approach a non-unitary Ginibre random ensemble. Next, we discuss properties of the states evolving under similar interacting dynamics. Specifically, we consider how estimates of expectation values - obtained using a classical representation of the quantum state - change with time. We also construct a new hybrid classical-quantum representation of a quantum state by measuring some of the qubits. Finally, we propose using the native interactions in a trapped-ion quantum computer to enhance performance in the near-term. This can be done by defining a small number of virtual qubits inside each ion, and should lead to fewer native operations and lower error rates.
■590 ▼aSchool code: 0181.
■650 4▼aPhysics
■650 4▼aQuantum physics
■650 4▼aCondensed matter physics
■650 4▼aTheoretical physics
■653 ▼aQuantum chaos
■653 ▼aQuantum tomography
■653 ▼aRandom matrix theory
■653 ▼aTrapped-ions
■653 ▼aEpidemic growth
■690 ▼a0605
■690 ▼a0599
■690 ▼a0611
■690 ▼a0753
■71020▼aPrinceton University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161466▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
