# Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain

## TL;DR

This paper theoretically analyzes subradiant states in a one-dimensional two-level atom chain, revealing their fermionic nature and connecting multiply-excited states to the Tonks-Girardeau limit, while also identifying new correlated states.

## Contribution

It provides a theoretical framework for singly- and multiply-excited subradiant states and links their behavior to the Tonks-Girardeau model, introducing new correlated states.

## Key findings

- Subradiant states exhibit fermionic behavior.
- Multiply-excited subradiant states relate to the Tonks-Girardeau limit.
- Discovery of a new family of correlated states.

## Abstract

Recently, the subradiant states of one-dimensional two-level atom chains coupled to light modes were found to have decay rates obeying a universal scaling, and an unexpected fermionic character of the multiply-excited subradiant states was discovered. In this Letter, we theoretically obtain the singly-excited subradiant states, and by eliminating the superradiant modes, we demonstrate a relation between the multiply-excited subradiant states and the Tonks-Girardeau limit of the Lieb-Liniger model which explains the fermionic behavior. In addition, we identify a new family of states with correlations different from the fermionic ansatz.