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Amanda Young

Profile picture for Amanda Young

Contact Information

361 Altgeld
1409 W. Green Street
Urbana, IL 61801
Assistant Professor

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 2016-2023, 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., & 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

Warzel, S., & Young, A. (2023). A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential. Annales Henri Poincare, 24(1), 133-178. https://doi.org/10.1007/s00023-022-01210-z

Nachtergaele, B., Sims, R., & Young, A. (2022). Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States. Annales Henri Poincare, 23(2), 393-511. https://doi.org/10.1007/s00023-021-01086-5

Warze1, S., & Young, A. (2022). The spectral gap of a fractional quantum Hall system on a thin torus. Journal of Mathematical Physics, 63(4), Article 041901. https://doi.org/10.1063/5.0084677

Nachtergaele, B., Warzel, S., & Young, A. (2021). Low-complexity eigenstates of a ν = 1/3 fractional quantum Hall system. Journal of Physics A: Mathematical and Theoretical, 54(1), Article 01LT01. https://doi.org/10.1088/1751-8121/abca73

View all publications on Illinois Experts