# // About me

I am a postdoc at the Perimeter Institute for Theoretical Physics where I develop and apply wavefunction-based numerical methods for quantum many-body systems related to the density matrix renormalization group (DMRG). [See my notes on MPS 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 to combine theoretical insight and numerics based on principled and efficient classes of wavefunctions. For example, while matrix product states can be viewed as an efficient tool for computing low-energy, dynamical, and finite-temperature properties of many-body systems, they are in fact known to capture ground states of any short-range 1d gapped system and can provide a framework for rigorously 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

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

###### 2013-Present

#### 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.
- Performed state-of-the-art simulations of model electronic structure systems, frustrated magnets and topologically ordered nanowires.
- 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 theory, spin wave calculations, high temperature series) to study frustrated magnets.
- Developed code based on the ALPS simulation library to implement a novel semi-classical algorithm for finite temperature quantum 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

2014**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", arxiv:1409.6327

**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