### Research

My research focuses on describing and controlling dynamics of quantum many-body systems. My goal is to address some of the fundamental problems of ultracold atom and condensed matter physics:

1. What are the generic alternatives to thermalization?

2. Interplay of pseudo gauge-fields, topology and dynamics

3. Dynamics of mesoscopic systems and (with and without non-Abelian excitations)

Addressing these fundamental physics questions will have important implications for: (1) understanding the limitations and alternatives to thermodynamics, (2) generating non-Abelian excitations in static ultracold atom systems and building photonic crystals with broken time-reversal symmetry, (3) control over non-Abelian excitations will be useful for building quantum memory and quantum computers.

I received a BA in mathematics and a BS in physics from Rice University in 2002. For my Ph.D. I studied phase-slips in mesoscopic superconductors and superfluids with Prof. Paul Goldbart at the University of Illinois at Urbana Champaign. Following my Ph.D., I became a postdoc at Harvard University, where I mostly concentrated on theory of ultracold atom physics. After Harvard I became a Lee A. DuBridge Prize Postdoc at Caltech, where I worked on the intersection of topological physics and ultracold atom physics. Upon completion of my second postdoc I joined the faculty of the University of Pittsburgh.

### Selected Publications

- "Josephson parametric converter saturation and higher order effects," G. Liu, T.-C. Chien, X. Cao, O. Lanes, E. Alpern,
__D. Pekker__, and M. Hatridge, arXiv:1703.04425v1 - "Encoding the structure of many-body localization with matrix product operators,"
__David Pekker__and Bryan K. Clark, Phys. Rev. B 95, 035116 (2017) - "Finding Matrix Product State Representations of Highly Excited Eigenstates of Many-Body Localized Hamiltonians," Xiongjie Yu,
__David Pekker__, and Bryan K. Clark, Phys. Rev. Lett. 118, 017201 (2017) - "Tunable Electron-Electron Interactions in LaAlO
_{3}/SrTiO_{3}Nanostructures," Guanglei Cheng, Michelle Tomczyk, Alexandre B. Tacla, Hyungwoo Lee, Shicheng Lu, Josh P. Veazey, Mengchen Huang, Patrick Irvin, Sangwoo Ryu, Chang-Beom Eom, Andrew Daley,__David Pekker__, and Jeremy Levy, Phys. Rev. X 6, 041042 (2016) - "Dissipationless transport of electrons and Cooper pairs in an electron waveguide," Anil Annadi, Shicheng Lu, Hyungwoo Lee, Jung-Woo Lee, Guanglei Cheng, Anthony Tylan-Tyler, Megan Briggeman, Michelle Tomczyk, Mengchen Huang,
__David Pekker__, Chang-Beom Eom, Patrick Irvin, Jeremy Levy, arXiv:1611.05127

- "Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires," Liang Jiang, Takuya Kitagawa, Jason Alicea, A. R. Akhmerov,
__David Pekker__, Gil Refael, J. Ignacio Cirac, Eugene Demler, Mikhail D. Lukin, and Peter Zoller, Phys. Rev. Lett. 106, 220402 (2011) - "The ‘Higgs’ amplitude mode at the two-dimensional superfluid/Mott insulator transition," Manuel Endres, Takeshi Fukuhara,
__David Pekker__, Marc Cheneau, Peter Schauβ, Christian Gross, Eugene Demler, Stefan Kuhr & Immanuel Bloch, Nature 487, 454 (2012) - "Observation of Elastic Doublon Decay in the Fermi-Hubbard Model," Niels Strohmaier, Daniel Greif, Robert Jördens, Leticia Tarruell, Henning Moritz, Tilman Esslinger, Rajdeep Sensarma,
__David Pekker__, Ehud Altman, and Eugene Demler, Phys. Rev. Lett. 104, 080401 (2010) - "Quantum Interference Device Made by DNA Templating of Superconducting Nanowires," David S. Hopkins,
__David Pekker__, Paul M. Goldbart, Alexey Bezryadin, Science 308, 1762 (2005) - "Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality,"
__David Pekker__, Gil Refael, Ehud Altman, Eugene Demler, and Vadim Oganesyan, Phys. Rev. X 4, 011052 (2014)