Quantum microscopy of strongly correlated phases in the Fermi-Hubbard model

Timon Hilker

doi:10.1117/12.2616951

9 March 2022 Quantum microscopy of strongly correlated phases in the Fermi-Hubbard model

Timon Hilker

Proceedings Volume PC12015, Quantum Computing, Communication, and Simulation II; PC120150F (2022) https://doi.org/10.1117/12.2616951
Event: SPIE OPTO, 2022, San Francisco, California, United States

Abstract

Ultracold neutral atoms in optical lattices have become a powerful platform for the simulation of complex quantum systems. With our quantum gas microscope, we measure snapshots of the quantum many-body wavefunction by fully resolving the position and spin of each atom. I will present the application of this method to two quantum phases: The Haldane spin-1 phase is the prototype of a symmetry-protected topological phase, whose spin order is hidden in conventional two-point correlation functions. On our images, we can evaluate the characteristic string-correlator of this state and directly see the associated edge states of the system. In an antiferromagnetic background, holes get dressed by a surrounding cloud of ferromagnetic correlations. We study these magnetic polarons, which are a building block of the intricate physics of cuprates, by mapping out the spatial structure of the spin environment of individual holes. Upon increased doping, we observe the transition from this unusual polaronic metal to a Fermi Liquid and provide quantum-simulated results of the Fermi-Hubbard model as a benchmark for different theoretical approaches.

Conference Presentation

Citation Download Citation

Timon Hilker "Quantum microscopy of strongly correlated phases in the Fermi-Hubbard model", Proc. SPIE PC12015, Quantum Computing, Communication, and Simulation II, PC120150F (9 March 2022); https://doi.org/10.1117/12.2616951

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