Entanglement structure and the emergence of spacetime / Matthew P. DeCross.

Format:

Book

Thesis/Dissertation

Author/Creator:

DeCross, Matthew P., author.

Contributor:

Balasubramanian, Vijay, degree supervisor.

University of Pennsylvania. Department of Physics and Astronomy, degree granting institution.

Language:

English

Subjects (All):

Theoretical physics.

Quantum physics.

Physics.

Physics and Astronomy--Penn dissertations.

Penn dissertations--Physics and Astronomy.

Local Subjects:

Theoretical physics.

Quantum physics.

Physics.

Physics and Astronomy--Penn dissertations.

Penn dissertations--Physics and Astronomy.

Genre:

Academic theses.

Physical Description:

1 online resource (182 pages)

Contained In:

Dissertations Abstracts International 82-12B.

Place of Publication:

[Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2021.

Language Note:

English

System Details:

Mode of access: World Wide Web.

text file

Summary:

We explore connections between macroscopic wormholes, quantum entanglement, quantum circuit complexity, and quantum chaos in the context of the anti-de Sitter / conformal field theory (AdS/CFT) correspondence. We first describe the construction of a single-boundary wormhole geometry in type IIB supergravity, which has a dual interpretation in terms of entanglement between sectors of a Higgsed Super Yang-Mills theory. The construction involves a CPT twist in the gluing of the wormhole to the exterior throats that gives a global monodromy to some coordinates while preserving orientability. We argue that the solution can be made long-lived by appropriate choice of parameters, and comment on mechanisms for generating traversability. We also describe a construction of a double wormhole between two universes. Motivated by the study of entanglement structures that support wormhole topologies, we study how the quantum circuit complexity in field theory quantifies the difficulty of distributing entanglement among multiple parties. We develop an Euler-Arnold formalism for computing complexity based on Nielsen's geometrization of gate counting. Applying this formalism to Gaussian states of the harmonic oscillator that possess a multiparty entanglement structure analogous to multiboundary wormhole configurations, we find a scaling with entropy that resembles a result for the interior volume of holographic multiboundary wormholes. We also study the complexity of time evolution, which was recently conjectured to be related to properties of wormhole interiors. This complexity grows linearly at early times until the minimal geodesic on the unitary manifold encounters an obstruction in the form of a conjugate point or geodesic loop. By explicitly locating these obstructions through analytical and numerical techniques, we demonstrate a complexity hierarchy: the complexity of time evolution is upper bounded by O(√N) in free theories, O(poly(N)) in interacting integrable theories, and O(eN) in chaotic theories. We discuss the interpretation of these results in AdS/CFT, where wormhole solutions demonstrate quantum chaotic behavior.

Notes:

Source: Dissertations Abstracts International, Volume: 82-12, Section: B.

Advisors: Balasubramanian, Vijay; Committee members: Jonathan Heckman; Elliot Lipeles; Philip Nelson; Mark Trodden.

Department: Physics and Astronomy.

Ph.D. University of Pennsylvania 2021.

Local Notes:

School code: 0175

ISBN:

9798738646089

Access Restriction:

Restricted for use by site license.

This item must not be sold to any third party vendors.