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Learning in the quantum universe
I will present recent progress in building a rigorous theory to understand how scientists, machines, and future quantum computers could learn models of our quantum universe. The talk will begin...
Nov 23, 2022
Locality bounds on quantum dynamics with measurements
In non-relativistic systems, the Lieb-Robinson Theorem imposes an emergent speed limit (independent of the relativistic limit set by c), establishing locality under unitary quantum dynamics and constraining the time needed...
Nov 08, 2022
Entanglement entropy in (1+1)-d with defects
In this talk I will explore perspectives of quantum entanglement in (1+1)-d systems in presence of defects. The talk consists of two parts. In the first part, I will talk...
Nov 01, 2022
Unlocking the Universe with quantum materials
Just seven years after their first detection, gravitational waves (GWs) have revealed the first glimpses of a previously hidden dark Universe. Using the GW signature of distant compact-object collisions, we...
Nov 16, 2022
A Universal Operator Growth Hypothesis
Thanks to the Lanczos algorithm, the Hamiltonian dynamics of any operator can be written as a hopping problem on a semi-infinite one-dimensional chain. Our hypothesis states that the hopping strength...
Oct 15, 2019
Integrable line defects and 4d Chern-Simons theory
I discuss an application of a recent construction of 2d integrable field theories from 4d Chern-Simons theory by Costello and Yamazaki. After a review of the construction, I consider integrable...
Oct 17, 2019
Symmetry indicators for topological materials
Many free-fermion topological phases can be diagnosed by analyzing a suitable collection of symmetry data. While the Fu-Kane parity criterion for topological insulators is an early example, the systematic generalization...
Oct 22, 2019
Equivariant localization and Atiyah-Segal completion for Hochschild and cyclic homology
There is a close relationship between derived loop spaces, a geometric object, and Hochschild homology, a categorical invariant, made possible by derived algebraic geometry, thus allowing for both intuitive insights...
Oct 24, 2019
3D Mirror Symmetry and HOMFLY-PT Homology
A recent construction of HOMFLY-PT knot homology by Oblomkov-Rozansky has its physical origin in “B-twisted” 3D N=4 gauge theory, with adjoint and fundamental matter. Mathematically, the construction uses certain categories...
Oct 31, 2019
Hydrodynamics and (Pre)Thermalization in Floquet Systems
A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed ‘density matrix truncation’ (DMT)...
Nov 01, 2019