Cluster Luttinger Liquids of Rydberg-dressed Atoms in Optical Lattices

TL;DR

This paper explores novel quantum liquid phases in one-dimensional Rydberg-dressed atomic gases, revealing new features beyond traditional Luttinger liquids through analytical and numerical methods, with experimental relevance.

Contribution

It introduces a new class of critical quantum liquids arising from frustration and clustering in Rydberg-dressed atoms, extending the Luttinger liquid paradigm.

Findings

Identification of stable critical quantum liquids with new features

Demonstration of experimental signatures in Rydberg-dressed atoms

Analysis of frustration and cluster formation effects

Abstract

We investigate the zero-temperature phases of bosonic and fermionic gases confined to one dimension and interacting via a class of finite-range soft-shoulder potentials (i.e. soft-core potentials with an additional hard-core onsite interaction). Using a combination of analytical and numerical methods, we demonstrate the stabilization of critical quantum liquids with qualitatively new features with respect to the Tomonaga-Luttinger liquid paradigm. These features result from frustration and cluster formation in the corresponding classical ground-state. Characteristic signatures of these liquids are accessible in state-of-the-art experimental setups with Rydberg-dressed ground-state atoms trapped in optical lattices.