A5045190754- Quantum many-body systems
- Particle Accelerators and Free-Electron Lasers
- Superconducting Materials and Applications
- Physics of Superconductivity and Magnetism
- Particle accelerators and beam dynamics
- Topological Materials and Phenomena
- Topological and Geometric Data Analysis
- Theoretical and Computational Physics
- Black Holes and Theoretical Physics
- Quantum Computing Algorithms and Architecture
- Particle Detector Development and Performance
- Medical Imaging Techniques and Applications
- Markov Chains and Monte Carlo Methods
- Advanced Neuroimaging Techniques and Applications
- Quantum and electron transport phenomena
- Distributed and Parallel Computing Systems
- Graphene research and applications
University of California, Santa Barbara
2023-2024
Perimeter Institute
2019-2022
University of Waterloo
2019-2022
Generative modeling with machine learning has provided a new perspective on the data-driven task of reconstructing quantum states from set qubit measurements. As increasingly large experimental devices are built in laboratories, question how these techniques scale number qubits is becoming crucial. We empirically study scaling restricted Boltzmann machines (RBMs) applied to reconstruct ground-state wavefunctions one-dimensional transverse-field Ising model projective measurement data. define...
We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate special nature shortest-period CDW state, which is obtained when separation between nodes equals exactly half primitive reciprocal lattice vector. Its topological properties are shown to be distinct from all other states. make connection this observation three-dimensional fractional quantum Hall was recently proposed exist magnetic semimetals.
Topologically ordered phases of matter display a number unique characteristics, including ground states that can be interpreted as patterns closed strings in the case general ${\mathbb{Z}}_{2}$ string liquids. In this paper, we consider problem detecting and distinguishing Ising spin configurations sampled from classical gauge theory. We address using framework persistent homology, which computes size frequency loop structures via formation geometric complexes. Implemented numerically on...
We construct a class of solvable models for 2+1D quantum critical points by attaching 1+1D conformal field theories (CFTs) to fluctuating domain walls forming “loop soup”. Specifically, our local Hamiltonian attaches gapless spin chains the triangular lattice Ising antiferromagnet. The macroscopic degeneracy between antiferromagnetic configurations is split Casimir energy each decorating CFT, which usually negative and thus favors short loop phase with finite gap. However, we found set 1D...
We construct a class of solvable models for 2+1D quantum critical points by attaching 1+1D conformal field theories (CFTs) to fluctuating domain walls forming ``loop soup''. Specifically, our local Hamiltonian attaches gapless spin chains the triangular lattice Ising antiferromagnet. The macroscopic degeneracy between antiferromagnetic configurations is split Casimir energy each decorating CFT, which usually negative and thus favors short loop phase with finite gap. However, we found set 1D...