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

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.

Main: 6 pages, 5 figures; Supplemental Material: 11pages, 5 figures; v2: processing corrections

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Cited by in corpus (10)

• Critical lines and ordered phases in a Rydberg-blockade ladder
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Tunable quantum criticality in multicomponent Rydberg arrays
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Resonant stroboscopic Rydberg dressing: electron-motion coupling and multi-body interactions
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering