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Information, Chaos, and Black Holes: Bridging Quantum Entanglement and Holographic Spacetime.
Information, Chaos, and Black Holes: Bridging Quantum Entanglement and Holographic Spacetime.
상세정보
- 자료유형
- 학위논문
- Control Number
- 0017162302
- International Standard Book Number
- 9798342718301
- Dewey Decimal Classification Number
- 530
- Main Entry-Personal Name
- Wu, Chih-Hung.
- Publication, Distribution, etc. (Imprint
- [S.l.] : University of California, Santa Barbara., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 335 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- General Note
- Advisor: Dong, Xi.
- Dissertation Note
- Thesis (Ph.D.)--University of California, Santa Barbara, 2024.
- Summary, Etc.
- 요약The AdS/CFT correspondence, as a manifestation of the holographic principle, has provided valuable insights while raising more intriguing questions in our pursuit of quantum gravity. In this dissertation, we explore the interconnections between quantum information and quantum chaos in holography, through the lens of entanglement entropy and black holes. We present a series of studies, each contributing a novel perspective or improvement to our understanding of quantum entanglement and gravitational systems.We begin by introducing a new way for extracting the von Neumann entropy from integer n Renyi entropies using a generating function. This method does not rely on direct analytic continuation in n, and we demonstrate its utility through analytical and numerical examples. With the generating function, we establish the expressivity of von Neumann and Renyi entropies in terms of classical and quantum neural networks, show-casing the potential of machine learning in addressing complex problems in quantum information theory.Furthermore, we utilize the Euclidean gravitational path integral to investigate holographic entanglement entropy under bulk renormalization group flow. This study addresses the consistency of the holographic dictionary, ensuring that different bulk descriptions yield the same boundary entanglement entropy, given its fine-grained nature. We generalize the conical expansion method to examine scenarios involving non-zero spin matter fields in tree-level UV extensions, demonstrating that the UV entropy values concur with those flowed to the IR upon going on-shell. Moreover, we find that the entropy functional consistently aligns under imposition of the equations of motion for the matter fields at low energies, surpassing mere entropy value matching.As an incarnation of holographic entanglement entropy, the bulk extremal surface leads to the subregion duality paradigm. By defining the entanglement wedge associated with a boundary subregion, one can naturally extrapolate entanglement wedge reconstruction to define a notion of operator size in the boundary and determine the butterfly velocity that characterizes the growth of local perturbations from certain extremal surfaces. On the other hand, the study of quantum chaos presents a novel bound to holographic theories through a distinct Lorentzian calculation of the butterfly velocity, determined from a localized shockwave on the horizon of a dual black hole. We demonstrate a general agreement between the two pictures in higher-derivative gravity, revealing deep connections between quantum chaos and entanglement wedge reconstruction and sharply constraining the paradigm.Entanglement wedge reconstruction offers a beautiful resolution to the black hole information paradox through the concept of quantum extremal islands. We delve into the dynamics of black hole evaporation within a less understood non-minimal dilaton gravity framework. By identifying the Weyl-invariant terms in the action, which could be attributed to a state-dependent part of the stress tensor, we constructed a one-parameter family of one-loop actions with unique, regular, and physical stress tensors corresponding to quantum states that describe black hole evaporation. We apply the quantum extremal islands prescription to the back-reacted geometry, successfully reproducing the correct Page curve and thereby affirming the unitarity of the evaporation process, which was unattainable without a consistent one-loop theory.
- Subject Added Entry-Topical Term
- Physics.
- Subject Added Entry-Topical Term
- Nuclear physics.
- Subject Added Entry-Topical Term
- Quantum physics.
- Subject Added Entry-Topical Term
- Theoretical physics.
- Index Term-Uncontrolled
- Black hole information paradox
- Index Term-Uncontrolled
- Entanglement wedge reconstruction
- Index Term-Uncontrolled
- Holography
- Index Term-Uncontrolled
- Quantum entanglement
- Index Term-Uncontrolled
- Quantum gravity
- Added Entry-Corporate Name
- University of California, Santa Barbara Physics
- Host Item Entry
- Dissertations Abstracts International. 86-05B.
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:657605
MARC
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■00520250211151957
■006m o d
■007cr#unu||||||||
■020 ▼a9798342718301
■035 ▼a(MiAaPQ)AAI31329197
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aWu, Chih-Hung.
■24510▼aInformation, Chaos, and Black Holes: Bridging Quantum Entanglement and Holographic Spacetime.
■260 ▼a[S.l.]▼bUniversity of California, Santa Barbara. ▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a335 p.
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Dong, Xi.
■5021 ▼aThesis (Ph.D.)--University of California, Santa Barbara, 2024.
■520 ▼aThe AdS/CFT correspondence, as a manifestation of the holographic principle, has provided valuable insights while raising more intriguing questions in our pursuit of quantum gravity. In this dissertation, we explore the interconnections between quantum information and quantum chaos in holography, through the lens of entanglement entropy and black holes. We present a series of studies, each contributing a novel perspective or improvement to our understanding of quantum entanglement and gravitational systems.We begin by introducing a new way for extracting the von Neumann entropy from integer n Renyi entropies using a generating function. This method does not rely on direct analytic continuation in n, and we demonstrate its utility through analytical and numerical examples. With the generating function, we establish the expressivity of von Neumann and Renyi entropies in terms of classical and quantum neural networks, show-casing the potential of machine learning in addressing complex problems in quantum information theory.Furthermore, we utilize the Euclidean gravitational path integral to investigate holographic entanglement entropy under bulk renormalization group flow. This study addresses the consistency of the holographic dictionary, ensuring that different bulk descriptions yield the same boundary entanglement entropy, given its fine-grained nature. We generalize the conical expansion method to examine scenarios involving non-zero spin matter fields in tree-level UV extensions, demonstrating that the UV entropy values concur with those flowed to the IR upon going on-shell. Moreover, we find that the entropy functional consistently aligns under imposition of the equations of motion for the matter fields at low energies, surpassing mere entropy value matching.As an incarnation of holographic entanglement entropy, the bulk extremal surface leads to the subregion duality paradigm. By defining the entanglement wedge associated with a boundary subregion, one can naturally extrapolate entanglement wedge reconstruction to define a notion of operator size in the boundary and determine the butterfly velocity that characterizes the growth of local perturbations from certain extremal surfaces. On the other hand, the study of quantum chaos presents a novel bound to holographic theories through a distinct Lorentzian calculation of the butterfly velocity, determined from a localized shockwave on the horizon of a dual black hole. We demonstrate a general agreement between the two pictures in higher-derivative gravity, revealing deep connections between quantum chaos and entanglement wedge reconstruction and sharply constraining the paradigm.Entanglement wedge reconstruction offers a beautiful resolution to the black hole information paradox through the concept of quantum extremal islands. We delve into the dynamics of black hole evaporation within a less understood non-minimal dilaton gravity framework. By identifying the Weyl-invariant terms in the action, which could be attributed to a state-dependent part of the stress tensor, we constructed a one-parameter family of one-loop actions with unique, regular, and physical stress tensors corresponding to quantum states that describe black hole evaporation. We apply the quantum extremal islands prescription to the back-reacted geometry, successfully reproducing the correct Page curve and thereby affirming the unitarity of the evaporation process, which was unattainable without a consistent one-loop theory.
■590 ▼aSchool code: 0035.
■650 4▼aPhysics.
■650 4▼aNuclear physics.
■650 4▼aQuantum physics.
■650 4▼aTheoretical physics.
■653 ▼aBlack hole information paradox
■653 ▼aEntanglement wedge reconstruction
■653 ▼aHolography
■653 ▼aQuantum entanglement
■653 ▼aQuantum gravity
■690 ▼a0605
■690 ▼a0753
■690 ▼a0599
■690 ▼a0756
■71020▼aUniversity of California, Santa Barbara▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0035
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162302▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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