**Time/Venue** **Monday, November 14 at 11 am in **Physics South 325

and via Zoom:

https://berkeley.zoom.us/j/99523499113pwd=REovb3pyam03WXQwbEhrU3dqNHZvdz09

Meeting ID: 995 2349 9113 Passcode: 600704**Host** Joel Moore **Title **Spin-liquid states on the pyrochlore lattice and Rydberg atoms

simulator**Abstract** The XXZ model on the three-dimensional frustrated pyrochlore

lattice describes a family of rare-earth materials showing signatures of

fractionalization and no sign of ordering in the neutron-scattering

experiments. The phase diagram of such XXZ model is believed to host

several spin-liquid states with fascinating properties, such as emergent

U(1) electrodynamics with emergent photon and possible

confinement-deconfinement transition. Unfortunately, numerical studies

of such lattice are hindered by three-dimensional geometry and absence

of obvious small parameters.

In this talk, I will present my work [Phys. Rev. X 11, 041021] on the

variational study of the pyrochlore XXZ model using the RVB-inspired and

Neural-Network-inspired ansätze. They yield energies better than known

results of DMRG at finite bond dimension. With these wave functions, we

study the properties of frustrated phase at the Heisenberg point, and

observe signatures of long-range dimer correlations.

Lastly, I will sketch the prospects of using the Programmable Rydberg

Simulator platform for the study of these spin-liquid states. I will

construct two possible embeddings of the pyrochlore XXZ model onto the

Rydberg atoms simulator, employing the notion of spin ice and

perturbative hexagon flip processes.

# Special 290S/290K Quantum Materials Seminar speaker Nikita Astrakhantsev (Uni Zürich) Monday, November 14 at 11 am in Physics South 325

This entry was posted in QM Seminar. Bookmark the permalink.