Realizing the Frenkel-Kontorova model with Rydberg-dressed atoms

TL;DR

This paper proposes a method to implement the Frenkel-Kontorova model using Rydberg-dressed atoms, enabling the study of phase transitions with realistic interatomic potentials in a controllable quantum system.

Contribution

It introduces a novel platform using Rydberg-dressed atoms to realize the Frenkel-Kontorova model with different interaction potentials, including detailed phase diagram analysis.

Findings

Numerical phase diagrams for springlike and long-range potentials.

Identification of Aubry-like and commensurate-incommensurate phase transitions.

Discussion of feasible experimental implementations.

Abstract

We propose a method to realize the Frenkel-Kontorova model using an array of Rydberg dressed atoms. Our platform can be used to study this model with a range of realistic interatomic potentials. In particular, we concentrate on two types of interaction potentials: a springlike potential and a repulsive long-range potential. We numerically calculate the phase diagram for such systems and characterize the Aubry-like and commensurate-incommensurate phase transitions. Experimental realizations of this system that are possible to achieve using current technology are discussed.