Multipartite correlations in topological liquids
Abstract: I will discuss entanglement quantities in two-dimensional topologically-ordered phases that can potentially capture correlations beyond what bipartite entanglement entropy can. Specifically, I will present the calculations of the reflected entropy and entanglement negativity for topological ground states when we consider two spatial sub regions. I will also discuss applications of these ideas to one-dimensional quantum lattice many-body systems.
Location: ATL 4402
Software architectures for real-time quantum control systems
Real-time control software and hardware is essential for operating modern quantum systems. In particular, the software plays a crucial role in bridging the gap between applications and real-time operations on the quantum system. Unfortunately, real-time control software is an often underexposed area, and many well-known software engineering techniques have not propagated to this field. As a result, control software is often hardware-specific at the cost of flexibility and portability.
Topological order and error correction on fractal geometries: fractal surface codes
In this talk, I will focus on topological order and error correction on fractal geometries. Firstly, I will present a no-go theorem that Z_N topological order cannot survive on any fractal embedded in two spatial dimensions and then show that for fractal lattice models embedded in 3D or higher spatial dimensions, Z_N topological order survives if the boundaries on the holes condense only loop or membrane excitations. Next, I will discuss fault-tolerant logical gates in the Z_2 version of these fractal models, which we name as fractal surface codes, using their c
Optical conductivity and orbital magnetization of Floquet vortex states
Motivated by recent experimental demonstrations of Floquet topological insulators, there have been several theoretical proposals for using structured light, either spatial or spectral, to create other properties such as flat band and vortex states. In particular, the generation of vortex states in a massive Dirac fermion insulator irradiated by light carrying nonzero orbital angular momentum (OAM) has been proposed recently. Here, we evaluate the orbital magnetization and optical conductivity as physical observables for such a system.
Quantum science with photons and atoms
Abstract: Can a material be made of light? Can quantum mechanics help us measure time? These are two questions in quantum science that I directly address using the tools of atomic physics and quantum optics. We first explore the requirements to make a quantum Hall material made of light. We trap photons inside of a curved-mirror non-planar optical resonator to confine the transverse motion of photons and imbue them with an effective mass and an effective magnetic field for photons.
Quantum Device Benchmarking from Many-Body Quantum Chaos
Recently, there has been remarkable progress towards the development of large-scale quantum devices through advances in quantum science and technology. This progress opens new doors for proof-of-principle demonstrations of quantum simulations as well as practically useful applications, such as quantum-enhanced metrology and quantum networking.
Applied Fractons
Abstract: Fractons are a class of quasiparticles that cannot freely propagate through space. They were first introduced in a model of quantum (almost) self-correcting memory. Later it became clear that fractons, as well as, adjacent ideas such as tensor gauge theories and multipole or subsystem conservation laws provide a language to describe some known and some new phenomena. In this talk I will explain what fractons are, what kind of systems are known to support them and what kind of problems they will help to elucidate in the future.
Location: ATL 4402
On Theoretical Analyses of Quantum Systems: Modeling, Simulating, and Machine Learning
Dissertation Committee Chair: Prof. Zohreh Davoudi
Committee:
Prof. Ian Spielman
Prof. Jacob Taylor
Prof. Norbert Linke
Prof. Xiaodi Wu
Prof. Justyna Zwolak
An Exact Map Between the TBG (and multilayers) and Topological Heavy Fermions
Abstract: Magic-angle (θ=1.05∘) twisted bilayer graphene (MATBG) has shown two seemingly contradictory characters: the localization and quantum-dot-like behavior in STM experiments, and delocalization in transport experiments. We construct a model, which naturally captures the two aspects, from the Bistritzer-MacDonald (BM) model in a first principle spirit. A set of local flat-band orbitals (f) centered at the AA-stacking regions are responsible to the localization.