Exploring Quantum Many-body Systems in Programmable Trapped Ion Quantum Simulators
Dissertation Committee Chair: Professor Christopher R. Monroe
Committee:
Professor Alexey V. Gorshkov
Professor Zohreh Davoudi
Professor Norbert M. Linke
Professor Christopher Jarzynski
Engineering optical lattices for ultracold atoms with spatial features and periodicity below the diffraction limit & Dual-species optical tweezer arrays for Rubidium and Ytterbium for Rydberg-interaction-mediated quantum simulations
Dissertation Committee Chair: Prof. Steven Rolston (co-advisor)
Committee:
Prof. Trey Porto (co-chair/co-advisor)
Prof. Ian Spielman
Prof. Nathan Schine
Prof. Ronald Walsworth
Abstract: This dissertation is based on two independent projects.
Quantum Circuits for Chiral Topological Order
Dissertation Committee Chair: Mohammad Hafezi
Committee:
Alexey Gorshkov
Maissam Barkeshli
Ian Spielman
Andrew Childs
Constructing an ergodic theory of quantum information dynamics
Dissertation Committee Chair: Victor Galitski
Committee:
Paulo Bedaque
Alexey Gorshkov
Christopher Jarzynski
Nicole Yunger Halpern
Spectral Statistics, Hydrodynamics, and Quantum Chaos
Dissertation Committee Chair: Brian Swingle, Victor Galitski
Committee:
Maissam Barkeshli
Jay Sau
Jonathan Rosenberg (Dean’s representative)
Controlling quantum ergodicity in molecules large and small: From C60 to ultracold alkali dimers
Abstract: Quantum ergodicity refers to the remarkable ability of quantum systems to explore their entire state space allowed by symmetry. Mechanisms for violating ergodicity are of fundamental interest in statistical and molecular physics and can offer novel insights into decoherence phenomena in complex molecular qubits. I will discuss the recent experimental observation of ergodicity breaking in rapidly rotating C60 fullerene molecules as a function of rotational angular momentum [1].
Harnessing Quantum Systems for Sensing, Simulation, and Optimization
Dissertation Committee Chair: Zohreh Davoudi
Committee:
Alexey Gorshkov
Andrew Childs (Dean’s Representative)
Yi-Kai Liu
Ronald Walsworth
A DMRG Study of Excitons in the 2D t-J Model
Abstract: Antiferromagnetic materials with microscopic behavior resembling that of the Fermi-Hubbard model are expected to host excitons, or bound electron-hole pairs. In order to investigate such behavior, we have optimized states of the t-J model in the single-particle-single-hole sector using the density matrix renormalization group (DMRG).
QCVV: Making Quantum Computers Less Broken
Abstract: Quantum computing hardware capabilities have grown tremendously over the past decade, as evidenced by demonstrations of both quantum advantage and error-corrected logical qubits. These breakthroughs have been driven, in part, by advances in quantum characterization, verification, and validation (QCVV). I will discuss how QCVV provides a hardware-agnostic framework for assessing the performance of quantum computers; I will describe in detail how specific QCVV protocols (such as gate set tomography and robust phase estimation) have been used to characterize and sig
Electron-Photon Exchange-Correlation Functional in the Weak and Strong Light–Matter Coupling Regimes
Abstract: The intersection of quantum electrodynamics (QED) and density-functional theory (DFT) has opened up exciting opportunities in controlling quantum matter through light-matter coupling. This frontier, however, is beset with computational challenges, especially in the weak and strong coupling regimes. Building upon previous research, we present the results of nonperturbative QED functional in the long-wavelength limit, centered solely on the matter Hilbert space.