Group seminar at MPQ and Zoom: Programming waveguide QED and optical-lattice Fermi-Hubbard quantum simulators

March 17, 2025

Alejandro Gonzalez-Tudela, CSIC Madrid,Spain
Group seminar at MPQ lecture hall and Zoom
Monday, 17 March, 11:00 am (MEZ)

In this talk, I will review two recent works related on how to harness programmable simulators based on waveguide QED [1] and fermionic optical lattices [2].
First, I will briefly show how the tunable-range interactions appearing in waveguide QED can be used to construct wavefunction ansätze that approximate the ground state of quantum spin models.
Second, I will devote most of my talk to discuss our recent work [2] where we propose several protocols that harness the latest experimental advances in programmable optical lattices to simulate fermionic Hamiltonians relevant in condensed-matter physics. In particular, we construct variational circuits for ground-state preparation and apply them to local and extended Fermi-Hubbard models with and without doping, showing considerable improvements with respect to adiabatic state preparation. Furthermore, we will discuss some algorithms specifically tailored for analog quantum simulators that use data gathered from the device to accurately investigate properties of the ground state of Fermi-Hubbard Hamiltonians.

[1] C Tabares, A Muñoz de Las Heras, L Tagliacozzo, D Porras, A. González-Tudela. Physical Review Letters 131 (7), 073602 (2023).

[2] C. Tabares, C. Kokail, P. Zoller, D. González-Cuadra and A. González-Tudela, arXiv:2502.05067 (2025).