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Entanglement and Geometry
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Entanglement and Geometry. |
| 개인저자 | Akers, Christopher. |
| 단체저자명 | University of California, Berkeley. Physics. |
| 발행사항 | [S.l.]: University of California, Berkeley., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 150 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-06B. Dissertation Abstract International |
| ISBN | 9781392369944 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-06, Section: B.
Advisor: Bousso, Raphael. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | There is now strong evidence of a deep connection between entanglement in quantum gravity and the geometry of spacetime. In this dissertation, we study multiple facets of this connection. We start by quantifying the entanglement of a scalar quantum field theory as a function of the curvature of its background. We then shift our focus to the AdS/CFT duality, and we prove multiple logical relationships between geometric statements in AdS and entropic statements in the CFT. Many of these proofs work in the presence of quantum corrections, and we prove under which geometric conditions entanglement wedge nesting continues to imply the quantum null energy condition (QNEC) when the CFT is on an arbitrary curved background. We also demonstrate that the non-gravitational limit of the quantum focusing conjecture implies the QNEC, given the same geometric conditions. Next, we prove the connection between the boundary of the future of a surface and the null geodesics originating orthogonally from that surface. This theorem is important for proving that the area of holographic screens increases monotonically. Finally, we derive the holographic prescription for computing Renyi entropies of a CFT with the formalism of quantum error-correction. In the process, we provide evidence that the quantum gravity degrees of freedom related to the AdS geometry are maximally-mixed. |
| 일반주제명 | Theoretical physics. Quantum physics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
