# // About me

I am a researcher at UC Irvine where I develop
and apply tensor network numerical methods for quantum many-body systems.

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

My research concerns systems where electron interactions dominate kinetic-energy effects, in which case the electrons are said to be strongly correlated. Such materials are not well described by band theory, including most density functional approximations. Purely analytical approaches for these systems may be inconclusive or only give qualitative guidance.

An exciting alternative is numerics based on theoretically justified and efficient classes of wavefunctions, such as matrix product states. These wavefunctions not only provide tools for computing low-energy, dynamical, and finite-temperature properties of many-body systems, but are also proven to capture ground states of any short-range 1d gapped system and provide a framework for classifying one-dimensional gapped phases.

On the personal side I enjoy outdoor sports (running, skiing, golf, paddleboarding); playing guitar and piano; and traveling to interesting cities.

Download my CV

# // Experience

#### Research Scientist — UC Irvine

###### 2013-Present

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

###### 2013-2016

- Showed a simple 2d parafermion lattice model hosts a non-trivial phase supporting Fibonacci anyons
- Performed highly cited calculations of universal entanglement terms in critical systems due to boundary corners
- Significantly expanded user base of ITensor software 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

2015**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" arxiv:1509.00468

**E.M. Stoudenmire**, Lucas O. Wagner, Kieron Burke, and Steven R. White, "One Dimensional Mimicking of Electronic Structure: The Case for Exponentials" arxiv:1504.05620

**E.M. Stoudenmire**, and Dmitry A. Abanin, "Is Many-Body Localization Possible in the Absence of Disorder?", arxiv:1501.00477

**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