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Dissipative Spectral Form Factor in Chaotic, Localized, and Integrable Open Quantum Systems: A New Measure for Open Quantum Chaos
Dissipative Spectral Form Factor in Chaotic, Localized, and Integrable Open Quantum Systems: A New Measure for Open Quantum Chaos
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103504
- ISBN
- 9798280747029
- DDC
- 530
- 저자명
- Li, Jiachen.
- 서명/저자
- Dissipative Spectral Form Factor in Chaotic, Localized, and Integrable Open Quantum Systems: A New Measure for Open Quantum Chaos
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 169 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Ryu, Shinsei.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약We introduce the dissipative spectral form factor (DSFF), a novel diagnostic for spectral correlations in non-Hermitian and non-unitary matrices, motivated by the need to characterize quantum chaos in open quantum systems.The DSFF extends the concept of the spectral form factor (SFF) to systems with complex spectra, capturing correlations between the real and imaginary components of eigenvalues across arbitrary energy and time scales.We derive the exact form of the DSFF for the complex Ginibre ensemble (GinUE) from the random matrix theory (RMT), serving as a minimal model of chaotic open quantum systems (COQS). Remarkably, the DSFF shape coincides with those of the real and quaternion-real Ginibre ensembles, exhibiting a universal quadratic ramp-plateau structure and exact rotational symmetry in complex time τ-distinct from the linear ramp behavior in closed systems governed by Gaussian ensembles.Using the DSFF, we numerically analyze the spectral statistics of fifteen representative COQS, including random Kraus circuits and random Lindbladians across various symmetry classes, as well as Lindbladians from paradigmatic models such as SYK, XXZ, and the transverse field Ising model. We demonstrate that, in the presence of many-body interactions, RMT-like DSFF behavior emerges generically, but only after a system-size-dependent timescale τdev, which we interpret as a non-Hermitian analog of the many-body Thouless time.To uncover universal features otherwise obscured by non-uniform spectral densities, we develop an unfolding and filtering procedure tailored to open quantum systems.Finally, we contrast the DSFF behavior in chaotic systems with that of integrable and many-body localized (MBL) open systems, such as the XX model and disordered MBL regimes, which exhibit qualitatively different spectral statistics, thereby highlighting the DSFF's sensitivity to underlying dynamical regimes.
- 일반주제명
- Condensed matter physics
- 일반주제명
- Quantum physics
- 일반주제명
- Theoretical physics
- 키워드
- Quantum chaos
- 기타저자
- Princeton University Physics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103504
■006m o d
■007cr#unu||||||||
■020 ▼a9798280747029
■035 ▼a(MiAaPQ)AAI32002502
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aLi, Jiachen.
■24510▼aDissipative Spectral Form Factor in Chaotic, Localized, and Integrable Open Quantum Systems: A New Measure for Open Quantum Chaos
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a169 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Ryu, Shinsei.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aWe introduce the dissipative spectral form factor (DSFF), a novel diagnostic for spectral correlations in non-Hermitian and non-unitary matrices, motivated by the need to characterize quantum chaos in open quantum systems.The DSFF extends the concept of the spectral form factor (SFF) to systems with complex spectra, capturing correlations between the real and imaginary components of eigenvalues across arbitrary energy and time scales.We derive the exact form of the DSFF for the complex Ginibre ensemble (GinUE) from the random matrix theory (RMT), serving as a minimal model of chaotic open quantum systems (COQS). Remarkably, the DSFF shape coincides with those of the real and quaternion-real Ginibre ensembles, exhibiting a universal quadratic ramp-plateau structure and exact rotational symmetry in complex time τ-distinct from the linear ramp behavior in closed systems governed by Gaussian ensembles.Using the DSFF, we numerically analyze the spectral statistics of fifteen representative COQS, including random Kraus circuits and random Lindbladians across various symmetry classes, as well as Lindbladians from paradigmatic models such as SYK, XXZ, and the transverse field Ising model. We demonstrate that, in the presence of many-body interactions, RMT-like DSFF behavior emerges generically, but only after a system-size-dependent timescale τdev, which we interpret as a non-Hermitian analog of the many-body Thouless time.To uncover universal features otherwise obscured by non-uniform spectral densities, we develop an unfolding and filtering procedure tailored to open quantum systems.Finally, we contrast the DSFF behavior in chaotic systems with that of integrable and many-body localized (MBL) open systems, such as the XX model and disordered MBL regimes, which exhibit qualitatively different spectral statistics, thereby highlighting the DSFF's sensitivity to underlying dynamical regimes.
■590 ▼aSchool code: 0181.
■650 4▼aCondensed matter physics
■650 4▼aQuantum physics
■650 4▼aTheoretical physics
■653 ▼aDissipative spectral
■653 ▼aMany-body physics
■653 ▼aNon-hermitian physics
■653 ▼aQuantum chaos
■653 ▼aDynamical regimes
■690 ▼a0611
■690 ▼a0599
■690 ▼a0753
■71020▼aPrinceton University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357387▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
