Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders

TL;DR

This paper maps out the phase diagram of Rydberg-dressed atoms on a two-leg triangular ladder, revealing various quantum phases and transitions through analytical and numerical methods.

Contribution

It introduces a comprehensive analysis of the phase diagram for Rydberg-dressed atoms on a triangular ladder, combining bosonization, semi-classical, and numerical techniques.

Findings

Identification of spin density wave and Luttinger liquid phases

Discovery of cluster Luttinger liquid and charge density wave phases

Confirmation of phase transitions via exact diagonalization and DMRG

Abstract

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to such a setup, we investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg and nearest-neighbors interactions without hopping between the legs. For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase. Such liquids transition to a 'spin-locked' cluster Luttinger liquid at strong interactions along each leg, as predicted by cluster bosonization. Interestingly, the competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5, that we address via semi-classical perturbative approach. Exact diagonalization and density matrix renormalization group simulations confirm the predictions and further characterize the phases and their transitions.