Contact Information
1409 W. Green Street
Urbana, IL 61801
Biography
After receiving my PhD from UC Davis in 2016, I was a Postdoctoral Research Associate at the University of Arizona from 2016-2019. I then held a jointly appointed postdoc at the Munich Center for Quantum Science and Technology and the Technical University of Munich from 2019-2023, after which I moved to the University of Illinois Urbana-Champaign.
Research Interests
Analysis, Mathematical Physics
Research Description
My research interests lie in the classification of quantum phases matter, and in particular using analytical methods to investigate spectral and dynamical properties of ground states for quantum lattice models. Some specific topics I work on include:
- Proving the existence of nonvanishing spectral gaps for key quantum lattice models.
- Developing novel methods for proving spectral gaps.
- Investigating stable properties of quantum phases.
- Quasi-locality estimates for quantum lattice models.
Education
PhD Mathematics, UC Davis, 2016
Additional Campus Affiliations
IQUIST - Member
Recent Publications
Lucia, A., Moon, A., & Young, A. (2024). Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. Annales Henri Poincare, 25(8), 3603-3648. https://doi.org/10.1007/s00023-023-01398-8
Nachtergaele, B., Sims, R., & Young, A. (2024). Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems. Letters in Mathematical Physics, 114(1). https://doi.org/10.1007/s11005-023-01767-8
Young, A. (2024). On a bulk gap strategy for quantum lattice models. Reviews in Mathematical Physics, 36(9), Article 2460007. https://doi.org/10.1142/S0129055X24600079
Young, A. (2024). Quantum Spin Systems. In Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 (Vol. 1-5, pp. V1:111-V1:124). Elsevier. https://doi.org/10.1016/B978-0-323-95703-8.00049-5
Lucia, A., & Young, A. (2023). A nonvanishing spectral gap for AKLT models on generalized decorated graphs. Journal of Mathematical Physics, 64(4), Article A147. https://doi.org/10.1063/5.0139706