Microscopy of the interacting Harper-Hofstadter model in the two-body limit.

Abstract:

:The interplay between magnetic fields and interacting particles can lead to exotic phases of matter that exhibit topological order and high degrees of spatial entanglement. Although these phases were discovered in a solid-state setting, recent innovations in systems of ultracold neutral atoms-uncharged atoms that do not naturally experience a Lorentz force-allow the synthesis of artificial magnetic, or gauge, fields. This experimental platform holds promise for exploring exotic physics in fractional quantum Hall systems, owing to the microscopic control and precision that is achievable in cold-atom systems. However, so far these experiments have mostly explored the regime of weak interactions, which precludes access to correlated many-body states. Here, through microscopic atomic control and detection, we demonstrate the controlled incorporation of strong interactions into a two-body system with a chiral band structure. We observe and explain the way in which interparticle interactions induce chirality in the propagation dynamics of particles in a ladder-like, real-space lattice governed by the interacting Harper-Hofstadter model, which describes lattice-confined, coherently mobile particles in the presence of a magnetic field. We use a bottom-up strategy to prepare interacting chiral quantum states, thus circumventing the challenges of a top-down approach that begins with a many-body system, the size of which can hinder the preparation of controlled states. Our experimental platform combines all of the necessary components for investigating highly entangled topological states, and our observations provide a benchmark for future experiments in the fractional quantum Hall regime.

journal_name

Nature

journal_title

Nature

authors

Tai ME,Lukin A,Rispoli M,Schittko R,Menke T,Dan Borgnia,Preiss PM,Grusdt F,Kaufman AM,Greiner M

doi

10.1038/nature22811

subject

Has Abstract

pub_date

2017-06-21 00:00:00

pages

519-523

issue

7659

eissn

0028-0836

issn

1476-4687

pii

nature22811

journal_volume

546

pub_type

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