Intro to Computing in Physics
In the fall, I will be teaching a course on computing in physics. Please watch here for details.
Graduate Quantum Mechanics 2
In this course, we will develop a conceptual understanding of quantum phenomena as well as develop expertise at solving quantum problems. We will cover a number of topics including finding eigenstates using perturbation theory and the variational method, time dependent pertrubation theory and the quantization of EM field, scattering,, numerical methods for quantum physics, and many-body physics. The heart and soul of this course are the problem sets. It is by doing problems that you will learn quantum mechanics.
Graduate Quantum Mechanics
In this course, we will attempt to develop a conceptual understanding of quantum phenomena as well as develop expertise at solving quantum problems. We will cover a number of traditional topics as well as modern material including quantum computing, numerical methods, and entanglement. The heart and soul of this course are the problem sets.
An algorithmic perspective on strongly correlated systems
The most interesting and difficult problems in physics are where emergent phenomena arise that appear fundamentally different from their constituent pieces. This course focuses on an algorithmic perspective on these problems. We cover both the methods to simulate them as well as understanding how an algorithmic perspective, such as tensor networks, have given a new framework for thinking about this physics. Algorithms that will be covered include the density matrix renormalization group, tensor networks, quantum Monte Carlo, and dynamical mean field theory. Physics examples will include area laws (we will cover the proof that entanglement is bounded in 1D gapped systems); a perspective on ADS/CFT via quantum error correcting codes and perfect tensors; understanding how the sign structure influences the physics of systems; and quantum computing.
Atomic Scale Simulations
This course is designed to teach you the algorithms and approach for doing simulations at the atomic level.
(Undergraduate) Quantum Mechanics I
The Physics 486-487 sequence provides an introduction to quantum physics for majors and grad students in Physics, ECE, Materials Science, Chemistry, etc. The course starts by introducing the basic concepts of quantum mechanics: What is a quantum state and what are the rules that specify how it can change and ends by realizing that exactly computing properties of states is hard and sophisticated approximations are required. In between we will see both the exotic parts of quantum mechanics and how to demystify many of these aspects.
Spring 2014 (1 student); Fall 2014; Spring 2015 (1 student); Fall 2015 (3 students); Spring 2016 (2 students); Summer 2016 (1 student); Fall 2017 (2 students)
PSSCMP 2016: Many-body Localization and Frustrated Magnetism
Princeton Center for Complex Materials Summer School on Condensed Matter Physics
MBL and Frustrated Magnetism notes plus video.
Summer School on Emergent Phenomena in Quantum Materials 2015
EPIQS 2015 Cornell University
Video 1: A variational approach to strongly correlated systems.
Video 2: Beyond explicitly representable variational ansatz
Boulder School 2010: Computational and Conceptual Approaches to Quantum Many-Body Systems
Boulder Summer School
I taught at the Boulder Summer School on Computational and Condensed Matter and Material Physics. I lectured on Variational, Diffusion, and Fixed Node quantum Monte Carlo.
VMC Lectures and DMC Lectures
VMC Video and DMC Video
Continuum QMC Methods
Co-organizer and Lecturer (9 hours)
Trieste Advanced School on Quantum Monte Carlo Methods in Physics and Chemistry
Tutorials on Variational Monte Carlo, Path Integral Monte Carlo and PIMC++
Quantum Monte Carlo from Minerals and Materials to Molecules Summer School