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Exploring Topological Phases in Quantum Many-Body Physics.
Exploring Topological Phases in Quantum Many-Body Physics.
- 자료유형
- 학위논문
- Control Number
- 0017164103
- International Standard Book Number
- 9798346532682
- Dewey Decimal Classification Number
- 530
- Main Entry-Personal Name
- Teng, Yanting.
- Publication, Distribution, etc. (Imprint
- [S.l.] : Harvard University., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 275 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- General Note
- Advisor: Sachdev, Subir.
- Dissertation Note
- Thesis (Ph.D.)--Harvard University, 2024.
- Summary, Etc.
- 요약Interactions among atoms can lead to emergent phenomena, one of the most fascinating being topological order. Topological phases are important in understanding high-temperature superconductors and fault-tolerant quantum computing. Quantum spin liquids, a key example of topologically ordered phases, exhibit unique properties such as long-range entanglement in the ground state and support of anyonic excitations, making them an exciting focus in the study of strongly correlated systems.This thesis explores the detection and learning of topological phases in quantum many-body systems, including quantum spin models, cuprate superconductors and ultracold atomic platform of Rydberg atom arrays. Guided by the experiments on Kitaev materials, we begin by using spinon mean-field theory of quantum spin liquids to explain the transition from a quantized thermal Hall effect to an unquantized values. Making closer connections to experiments in cuprates, we include additional interactions with phonons present in the system. We examine how spinon-phonon interactions, characterized by symmetry analysis, give rise to a chiral phonon Hall viscosity and can also contribute to the thermal Hall effect.In the second part, we turn to Rydberg atom arrays, which have recently been shown to realize a Z2 quantum spin liquid phase-an elusive state in conventional solid-state materials. We study how Rydberg interactions and lattice geometries lead to the emergence of Z2 gauge theories and distinct classes of topological quantum spin liquids. Finally, we study a variational tensor network tomography method for learning topological states from randomized measurements on Rydberg atom arrays. We demonstrate its efficiency in characterizing complex two-dimensional states that could be realized in future experiments.
- Subject Added Entry-Topical Term
- Physics.
- Subject Added Entry-Topical Term
- Quantum physics.
- Index Term-Uncontrolled
- Spinon-phonon interactions
- Index Term-Uncontrolled
- Rydberg atom arrays
- Index Term-Uncontrolled
- Anyonic excitations
- Added Entry-Corporate Name
- Harvard University Physics
- Host Item Entry
- Dissertations Abstracts International. 86-05B.
- Electronic Location and Access
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- Control Number
- joongbu:657532