Research

I develop and apply computational methods, primarily based on tensor networks and applied quantum many-body systems. Tensor networks represent high-order tensors through contracted networks of lower-order tensors, enabling exponential parameter reduction while preserving accuracy. Applications span quantum systems, classical statistical mechanics, and machine learning.

Tensor Networks & DMRG

Matrix product states, density matrix renormalization group, and extensions to two-dimensional, dynamical, and finite-temperature systems.

Quantum Many-Body Physics

Quantum many-body systems, especially strongly correlated electron systems.

Machine Learning

Tensor network algorithms for learning, connections between quantum physics and machine learning models.

Scientific Software

Design and development of the ITensor library for tensor network computations in Julia and C++.

Selected Articles

Software

ITensor

ITensor is an open-source library for tensor network calculations. It provides a high-level interface inspired by tensor diagram notation, making it easy to develop and run algorithms such as DMRG, TDVP, and TEBD. Available in both Julia and C++.

Lecture Notes

Contact

Email: mstoudenmire@flatironinstitute.org

Address:
Flatiron Institute
Center for Computational Quantum Physics
162 Fifth Avenue
New York, NY 10010