Skip to content

What's the hype about non-Hermitian systems? A personal tour from the search for topological states to the soul of quantum mechanics

Monday 16, 09:30

Luis E. F. Foa Torres
Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile

In the last few years there has been a revived hype around non-Hermitian lattices [1,2,3], systems where non Hermiticity is used to model gains and losses (as in photonic or acoustic systems), non-reciprocal couplings or the effect of interactions, and, in particular the search for topological states in these systems. In this talk I will provide a personal overview on this topic with a focus on how a macroscopic fraction of the states become localized at a boundary [4], now called the non-hermitian skin effect [5], and our recent research aimed at bringing quantum measurements to “classical emulators” [6,7].

References:
[1] R. Lin, T. Tai, L. Li, and C. H. Lee, Frontiers of Physics 18, 53605 (2023).  http://dx.doi.org/10.1007/s11467-023-1309-z
[2] V. M. Martinez Alvarez, J. E. Barrios Vargas, M. Berdakin, and L. E. F. Foa Torres, Eur. Phys. J. Spec. Top. (2018), https://doi.org/10.1140/epjst/e2018-800091-5
[3] L. E. F. Foa Torres, Journal of Physics: Materials 3, 014002 (2020), https://iopscience.iop.org/article/10.1088/2515-7639/ab4092/meta
[4] V. M. Martinez Alvarez, J. E. Barrios Vargas, and L. E. F. Foa Torres, Phys. Rev. B 97, 121401(R) (2018). https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.121401
[5] S. Yao and Z. Wang,  Phys. Rev. Lett. 121, 086803 (2018). https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.086803
[6] L. E. F. Foa Torres and S. Roche, arXiv:2408.04629 (2024). https://arxiv.org/abs/2408.04629
[7] For related research see https://www.foatorres.com/