Tunable Supersolids of Rydberg Excitations Described by Quantum Evolutions on Graphs

TL;DR

This paper demonstrates the creation of tunable supersolid states of Rydberg excitations in 2D optical lattices through laser pulses, providing a new theoretical approach for analyzing strongly interacting quantum systems.

Contribution

It introduces a novel theoretical method to accurately simulate the dynamics of strongly interacting quantum systems with known initial states.

Findings

Supersolid states can be dynamically generated from Mott insulators.

The structure of supersolids is tunable via laser parameters.

The developed method approximates quantum evolution analytically with polynomial complexity.

Abstract

We show that transient supersolid quantum states of Rydberg-excitations can be created dynamically from a Mott insulator of ground state atoms in a 2D optical-lattices by irradiating it with short laser pulses. The structure of these supersolids is tunable via the choice of laser parameters. We calculate first, second and fourth order correlation functions as well as the pressure to characterize the supersolid states. Our study is based on the development of a general theoretical tool for obtaining the dynamics of strongly interacting quantum systems whose initial state is accurately known. We show that this method allows to accurately approximate the evolution of quantum systems analytically with a number of operations growing polynomially.