# // About me

I am a research scientist at UC Irvine where I develop
and apply tensor network computational methods, primarily for quantum many-body systems.

[See my notes on matrix product states and DMRG.]

Tensor networks are a technique to compress exponentially large collections of parameters (e.g. wavefunction amplitudes or elements of matrices acting on tensor product spaces) by replacing them with a linear-size collection of hidden or virtual parameters contained in a contracted network of low-order tensors.

Download my CV

# // Experience

#### Research Scientist — UC Irvine

###### Feb 2016-Present

- Scalable "sliced basis" approach for applying DMRG to quantum chemistry
- Proposed a machine learning framework based on powerful tensor network techniques developed in physics. Video and talk slides.

#### Postdoctoral Researcher — Perimeter Institute for Theoretical Physics

###### 2013-Jan 2016

- Showed an isotropic, nearest-neighbor 2d parafermion lattice model hosts a non-trivial phase supporting Fibonacci anyons
- Performed highly cited calculations of universal entanglement terms in critical systems arising from sharp corners
- Significantly expanded the user base of the ITensor library and developed an ambitious new version 2.0 design

#### Postdoctoral Researcher — UC Irvine

#### Groups of Steven R. White and Kieron Burke

###### 2010-2013

- Discovered a method for parallelizing the density matrix renormalization group in real space.
- Co-developed an open source library for tensor product wavefunction algorithms. Website: http://itensor.org/.

#### Graduate Student Researcher — UC Santa Barbara

#### Advisor: Leon Balents

###### 2005-2010

- Applied a variety of analytical methods (bosonization, mean-field, spin wave, high temperature series, Monte Carlo) to study frustrated magnets.
- Collaborated with Steven R. White on a new method for simulating finite temperature quantum systems (the METTS algorithm).

# // Education

2005-2010 Ph.D. in Physics, UC Santa Barbara. Advisor: Leon Balents 2000-2005 BS in Physics, Georgia Institute of Technology. Highest honors. 2000-2005 BS in Mathematics, Georgia Institute of Technology. Highest honors.# // Publications

2017**E.M. Stoudenmire**"Matrix product state techniques for two-dimensional systems at finite temperature" 1705.05578

**Edwin M. Stoudenmire**, Qiming Sun, Igor S. Tupitsyn, Steven R. White, Dominika Zgid, Shiwei Zhang "Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods" 1705.01608

**E.M. Stoudenmire**and Steven R. White "Sliced Basis Density Matrix Renormalization Group for Electronic Structure"

*Phys. Rev. Lett.*,

**119**: 046401

**E.M. Stoudenmire**and David J. Schwab "Supervised Learning with Quantum-Inspired Tensor Networks" Advances in Neural Information Processing Systems, 29 4799

**E.M. Stoudenmire**, Jean-Marie Stephan, Trithep Devakul, Rajiv R.P. Singh, and Roger Melko, "Unusual Corrections to Scaling and Convergence of Universal Renyi Properties at Quantum Critical Points"

*Phys. Rev. B*,

**93**: 085120

**E.M. Stoudenmire**, Lucas O. Wagner, Kieron Burke, and Steven R. White, "One Dimensional Mimicking of Electronic Structure: The Case for Exponentials"

*Phys. Rev. B*,

**91**: 235141

**E.M. Stoudenmire**, and Dmitry A. Abanin, "Many-body localization in disorder-free systems: The importance of finite-size constraints"

*Ann. Phys.*

**362**714

**E.M. Stoudenmire**, David J. Clarke, Roger S. K. Mong, and Jason Alicea, "Assembling Fibonacci Anyons From a Z

_{3}Parafermion Lattice Model",

*Phys. Rev. B*,

**91**: 235112 [

**Editor's suggestion**]

**E.M. Stoudenmire**, Peter Gustainis, Ravi Johal, Stefan Wessel, and Roger G. Melko, "Corner Contributions to the Entanglement Entropy of Strongly-Interacting O(2) Quantum Critical Systems in 2+1 Dimensions",

*Phys. Rev. B*,

**90**: 235106

**E.M. Stoudenmire**, Kieron Burke, and Steven R. White, "Kohn-Sham Calculations with the Exact Functional",

*Phys. Rev. B*,

**90**: 045109 [

**Editor's suggestion**]

**E.M. Stoudenmire**, Paul Fendley, Rajiv R.P. Singh, Roger G. Melko, "Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions",

*J. Stat. Mech.*P06009

**E.M. Stoudenmire**, Kieron Burke, and Steven R. White, "Guaranteed Convergence of the Kohn-Sham Equations",

*Phys. Rev. Lett.*

**111**: 093003 [

**Editor's suggestion**]

**E.M. Stoudenmire**and Steven R. White, "Real-Space Parallel Density Matrix Renormalization Group",

*Phys. Rev. B*

**87**: 115137

**E.M. Stoudenmire**, Kaden R.A. Hazzard, Ana Maria Rey and Alexey Gorshkov, "Topological phases in polar-molecule quantum magnets",

*Phys. Rev. B*

**87**: 081106(R)

**E.M. Stoudenmire**, Lucas O. Wagner, Steven R. White and Kieron Burke, "One-dimensional continuum electronic structure with the density matrix renormalization group and its implications for density functional theory",

*Phys. Rev. Lett.*

**109**: 056402

**E.M. Stoudenmire**, Steven R. White and Kieron Burke, "Reference electronic structure calculations in one dimension",

*Phys. Chem. Chem. Phys.*

**14**: 8581

**E.M. Stoudenmire**and Steven R. White, "Studying two-dimensional systems with the density matrix renormalization group",

*Annual Reviews of Condensed Matter Physics*

**3**: 111

**E.M. Stoudenmire**, Jason Alicea, Oleg A. Starykh and Matthew P.A. Fisher, "Interaction effects in topological superconducting wires supporting majorana fermions",

*Phys. Rev. B*

**84**: 014503

[

**Editor's suggestion**, Synopsis Article]

**E.M. Stoudenmire**and Steven R. White, "Minimally entangled typical thermal state algorithms",

*New J. Phys.*

**12**: 055026

**E.M. Stoudenmire**, Simon Trebst and Leon Balents, "Quadrupolar correlations and spin freezing in S=1 triangular lattice antiferromagnets",

*Phys. Rev. B*

**79**: 214436

**E.M. Stoudenmire**and Leon Balents, "Ordered phases of the anisotropic kagome lattice antiferromagnet in a field",

*Phys. Rev. B*

**77**: 174414

**E.M. Stoudenmire**and C.A.R. Sá de Melo, "Magnetoresistive effects in ferromagnet-superconductor multilayers"

*J. Appl. Phys.*

**97**: 10J108