Realization of a fractional quantum Hall state with ultracold atoms
- URL: http://arxiv.org/abs/2210.10919v2
- Date: Sat, 29 Oct 2022 09:49:22 GMT
- Title: Realization of a fractional quantum Hall state with ultracold atoms
- Authors: Julian L\'eonard, Sooshin Kim, Joyce Kwan, Perrin Segura, Fabian
Grusdt, C\'ecile Repellin, Nathan Goldman, and Markus Greiner
- Abstract summary: Emblematic instances are fractional quantum Hall states, where the interplay of magnetic fields and strong interactions gives rise to fractionally charged quasi-particles.
Here, we realize a fractional quantum Hall (FQH) state with ultracold atoms in an optical lattice.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Strongly interacting topological matter exhibits fundamentally new phenomena
with potential applications in quantum information technology. Emblematic
instances are fractional quantum Hall states, where the interplay of magnetic
fields and strong interactions gives rise to fractionally charged
quasi-particles, long-ranged entanglement, and anyonic exchange statistics.
Progress in engineering synthetic magnetic fields has raised the hope to create
these exotic states in controlled quantum systems. However, except for a recent
Laughlin state of light, preparing fractional quantum Hall states in engineered
systems remains elusive. Here, we realize a fractional quantum Hall (FQH) state
with ultracold atoms in an optical lattice. The state is a lattice version of a
bosonic $\nu=1/2$ Laughlin state with two particles on sixteen sites. This
minimal system already captures many hallmark features of Laughlin-type FQH
states: we observe a suppression of two-body interactions, we find a
distinctive vortex structure in the density correlations, and we measure a
fractional Hall conductivity of $\sigma_\text{H}/\sigma_0= 0.6(2)$ via the bulk
response to a magnetic perturbation. Furthermore, by tuning the magnetic field
we map out the transition point between the normal and the FQH regime through a
spectroscopic probe of the many-body gap. Our work provides a starting point
for exploring highly entangled topological matter with ultracold atoms.
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