Topological interactions mediated by Hermitian and non-Hermitian topological light

Topology and quantum optics are two fields whose interplay can give rise to new physics [1]. Fractional decay

in a topological continuum and topological dependent atom-atom interactions mediated by topological

light are just few examples of a pletora of unconventional phenomena [2]. In parallel to this, non-Hermitian

Hamiltonians, often used to describe nanophotonic platforms [3], have been shown to possess topological

properties with no Hermitian counterpart [4]. In this talk I will present the relation between the Hermitian

(or non-Hermitian) topology of a photonic lattice and the topological nature of the atom-atom Hamiltonian

mediated by such lattice.

[1] https://www.benasque.org/2021tmqo/,

[2] M. Bello, G. Platero, J. I. Cirac, A. González-Tudela. Sci. Adv. 2019,

[3] F. Roccati, S. Lorenzo, G. Calajò, G. M. Palma, A. Carollo, F. Ciccarello. Optica 2022,

[4] E. J. Bergholtz, J. C. Budich, F. K. Kunst. Rev. Mod. Phys. 2021,