Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes

TL;DR

This paper investigates how repulsive interactions influence chiral edge currents in synthetic ladders created with ultracold fermionic gases, revealing stabilization and enhancement of quantum Hall-like phenomena.

Contribution

It demonstrates, through density-matrix renormalization group simulations, that repulsive interactions stabilize and enhance chiral edge currents in synthetic dimensions with multiple spin states.

Findings

Repulsive interactions stabilize quantum Hall-like helical regions.

Interactions enhance chiral edge currents.

The study relates edge current properties to measurable momentum distributions.

Abstract

Synthetic ladders realized with one-dimensional alkaline-earth(-like) fermionic gases and subject to a gauge field represent a promising environment for the investigation of quantum Hall physics with ultracold atoms. Using density-matrix renormalization group calculations, we study how the quantum Hall-like chiral edge currents are affected by repulsive atom-atom interactions. We relate the properties of such currents to the asymmetry of the spin resolved momentum distribution function, a quantity which is easily addressable in state-of-art experiments. We show that repulsive interactions significantly stabilize the quantum Hall-like helical region and enhance the chiral currents. Our numerical simulations are performed for atoms with two and three internal spin states.