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 enhance the chiral currents. Our numerical simulations are performed for atoms with two and three internal spin states.
Highlights
One of the most noticeable hallmarks of topological insulators is the presence of robust gapless edge modes [1]
In this work we focus on one-dimensional systems with a finite synthetic dimension coupled to a synthetic gauge field, i.e. frustrated ladders
By means of density-matrix renormalization group (DMRG) simulations, we have studied the impact of atom–atom repulsive interactions on the quantum Hall-like chiral currents recently detected in [4, 5]
Summary
One of the most noticeable hallmarks of topological insulators is the presence of robust gapless edge modes [1] Their first experimental observation goes back to the discovery of the quantum Hall effect [2], where the existence of chiral edge states is responsible for the striking transport properties of the Hall bars. The crucial requirement is that each of them has to be coupled to two other states in a sequential way through, for example, proper Raman transitions induced by laser beams. In this situation, it is even possible to generate gauge fields in synthetic lattices [18]
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