Probing supersymmetric lattice models with Rydberg atoms

Rydberg atoms and neutral atom arrays have emerged as one of the leading platforms for quantum simulation and computation, allowing for realization of a plethora of spin Hamiltonians and uncovering new phenomena such as quantum many-body scarring. In this talk I will first review the physics of the Rydberg atom arrays and the different regimes in which they are operated. I will then introduce supersymmetric lattice models and discuss how they can be realized using atoms with Rydberg dressed interactions, first focusing on a 1D setting [1]. The supersymmetry of the model guarantees the existence of two degenerate zero-energy ground states. This gives rise to elementary excitations which connect these ground states - the kinks - and their superpartners - the skinks. The (s)kink dynamics provides clear signatures of the underlying supersymmetry, which can be probed through simple experimental observables.

If the time permits, I will then discuss the consequences of supersymmetry beyond 1D, namely in a ladder geometry [2]. There, the supersymmetric models are known to feature an extensive degeneracy, so-called superfrustration, of the ground states, whos nature remains largely unexplored. By deforming the model from supersymmetry, we uncover the nature of these ground states in a rich phase diagram, where the supersymmetric point emerges as a multicritical point connecting between density-wave phases and incommensurate Luttinger liquid with smoothly varying particle densities.

[1] J. Minář, B. van Voorden and K. Schoutens, Phys. Rev. Lett. 128, 050504 (2022)

[2] N. Chepiga, J. Minář and K. Schoutens, SciPost Physics 11, 059 (2021)