Crystalline Topological Invariants in Invertible Fermionic States and Fractional Chern Insulators
Dissertation Committee Chair: Maissam Barkeshli
Committee:
Victor Galitski
Victor Yakovenko
Avik Dutt
Jonathan Rosenberg
Observation of string breaking on a (2+1)D Rydberg quantum simulator
Abstract: Fundamental forces of nature are described by gauge theories, and the interactions of matter with gauge fields lead to intriguing phenomena like the confinement of quarks in quantum chromodynamics. Separating a confined quark-anti-quark pair incurs an energy cost that grows linearly with their separation, eventually leading to the production of additional particles by an effect that is called string-breaking. In this talk, I will discuss how similar phenomenology can be probed using Rydberg atom arrays.
Quantum Vortices of Photons
Abstract: Vortices appear in optics as phase twists in the electromagnetic field resulting from light-matter interactions. Quantum vortices, characterized by phase singularities in the wavefunction, are typically associated with strongly interacting many-particle systems. However, the emergence of vortices through the effective interaction of light with itself, a phenomenon requiring strong optical nonlinearity, was previously limited to the classical regime until recent advancements.
Complexity-constrained quantum thermodynamics
Abstract: Irreversible quantum computation requires thermodynamic work. In principle, one can often evade work costs by implementing reversible transformations. In practice, complexity---the difficulty of realizing a quantum process---poses an obstacle: a realistic agent can perform only a limited number of gates and so not every reversible transformation. Hence an agent, if unable to complete a task unitarily, may expend work on an irreversible process, such as erasure, to finish the job.
Strongly correlated excitons in moiré semiconductors
Dissertation Committee Chair: Mohammad Hafezi
Committee:
Jay Deep Sau
You Zhou
Aaron Sternbach
Ian B. Spielman
Christopher Jarzynski (Dean’s representative)
Modeling Superconducting Circuits for Quantum Computing and Quantum Sensing Applications
Dissertation Committee Chair: Christopher J. Lobb
Committee:
Jacob M. Taylor
Victor M. Galitski
Saikat Guha
Alicia J. Kollar
Quantum codes as robust phases of matter
Abstract: There is a deep connection between quantum error correction and phases of matter for spatially local codes in finite dimensions. I will show how this analogy extends to more general settings: quantum codes with check soundness are absolutely stable phases of matter. These codes include constant-rate quantum low-density parity-check codes, which shows that the third law of thermodynamics is false: there exist absolutely stable phases of matter with constant entropy density at zero temperature.
Rapid quantum ground state preparation via dissipative dynamics
Abstract: Inspired by natural cooling processes, dissipation has become a promising approach for preparing low-energy states of quantum systems. However, the potential of dissipative protocols remains unclear beyond certain commuting Hamiltonians.
Microwave Control of Rydberg-Rydberg Interactions
Abstract: Experimental control over the strength and angular dependence of interactions between atoms is a key capability for advancing quantum technologies. Here, we use microwave dressing to manipulate and enhance Rydberg-Rydberg interactions in an atomic ensemble. By resonantly coupling opposite parity Rydberg states, we create eigenstates with first-order dipole-dipole interactions. We study the modification of the interactions by measuring the statistics of the light retrieved from the ensemble.
Science of Deep Learning: From Initialization to Emergent Structures
Dissertation Committee Chair: Maissam Barkeshli
Committee:
Andrey Gromov (advisor)
Victor Albert
Tom Goldstein
Christopher Jarzynski (Dean’s representative)