Simulation of many-body dynamics using Rydberg excitons

TL;DR

This paper demonstrates how Rydberg excitons in semiconductors can be used to simulate quantum many-body dynamics and solve complex computational problems like the Maximum Independent Set problem.

Contribution

It introduces a method to use Rydberg excitons in cuprous oxide for simulating many-body quantum phases and applying this system to computational problem solving.

Findings

Achieved $ ext{Z}_2$-ordered phase with realistic parameters.

Proposed a system for solving the MIS problem using Rydberg blockade.

Optimized laser parameters for exciton excitation control.

Abstract

The recent observation of high-lying Rydberg states of excitons in semiconductors with relatively high binding energy motivates exploring their applications in quantum nonlinear optics and quantum information processing. Here, we study Rydberg excitation dynamics of a mesoscopic array of excitons to demonstrate its application in simulation of quantum many-body dynamics. We show that the $\mathbb{Z}_2$-ordered phase can be reached using physical parameters available for cuprous oxide (Cu$_2$O) by optimizing driving laser parameters such as duration, intensity, and frequency. In an example, we study the application of our proposed system to solving the Maximum Independent Set (MIS) problem based on the Rydberg blockade effect.