Rydberg dressed spin-1/2 Fermi gases in one dimension

TL;DR

This paper theoretically explores the rich phase diagram of Rydberg dressed spin-1/2 Fermi gases in one dimension, revealing quantum phase transitions and phase separation phenomena driven by interactions and Rydberg dressing.

Contribution

It introduces a theoretical framework combining bosonization and strong coupling analysis to describe emergent phases in Rydberg dressed Fermi gases in 1D.

Findings

Demonstrates quantum phase transitions between Luttinger liquids at weak coupling.

Identifies phase separation with Luttinger liquid 'puddles' at strong coupling.

Suggests experimental detection in ultracold Rydberg atom gases.

Abstract

The emergent phases of strongly correlated spin-1/2 Fermi gases of Rydberg dressed atoms in a one dimensional optical lattice are theoretically investigated. At weak coupling a bosonization description is used to demonstrate the ability to drive alternating quantum phase transitions between distinct Luttinger liquids. At strong coupling the ground state develops non-trivial phase separation exhibiting Luttinger liquid ''puddles'' separated by magnetic domain walls due to the interplay of the incommensurate filling and the Rydberg core length scale. These phases can be detected in ultracold gases of Rydberg atoms made from $^6$Li.