Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session W28: Quantum Simulation of the Doped 2D FermiHubbard ModelInvited Live Streamed

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Sponsoring Units: DAMOP DCMP Chair: Tilman Esslinger Room: McCormick Place W190A 
Thursday, March 17, 2022 3:00PM  3:36PM 
W28.00001: String Patterns in the Doped Hubbard Model Invited Speaker: Christie S Chiu Quantum simulation is rapidly emerging as a powerful technique to understand the physics of strongly correlated materials. Quantum gas microscopy of ultracold fermionic atoms in an optical lattice is perfectly suited to study the FermiHubbard model, a model widely believed to capture the physics of hightemperature superconductivity. We realize a FermiHubbard antiferromagnet and investigate the interplay between hole motion and spin order through doping the antiferromagnet. In addition to using conventional observables such as the spin correlation function and the staggered magnetization, we explore the potential for new patternbased microscopic observables for quantum simulation of strongly correlated materials. 
Thursday, March 17, 2022 3:36PM  4:12PM 
W28.00002: Coupling a Mobile Hole to an Antiferromagnetic Spin Background Invited Speaker: Markus Greiner

Thursday, March 17, 2022 4:12PM  4:48PM 
W28.00003: Spectroscopic probes for doped quantum magnets  new directions Invited Speaker: Annabelle Bohrdt Singleparticle spectral functions, which are usually measured using photoemission experiments in electron systems, contain direct information about fractionalization and the quasiparticle excitation spectrum. In this talk, I will present recent developments that enable angleresolved photoemission spectroscopy (ARPES) of the FermiHubbard model using ultra cold atoms in optical lattices. 
Thursday, March 17, 2022 4:48PM  5:24PM 
W28.00004: From Polaronic Metals to Hole Pairing  Exploring FermiHubbard Systems using Quantum Gas Microscopy Invited Speaker: Immanuel Bloch More than 30 years ago, Richard Feynman outlined his vision of a quantum simulator for carrying out complex calculations on physical problems. Today, his dream is a reality in laboratories around the world. This has become possible by using complex experimental setups of thousands of optical elements, which allow atoms to be cooled to Nanokelvin temperatures, where they almost come to rest. Recent experiments with quantum gas microscopes allow for an unprecedented view and control of artificial quantum matter in new parameter regimes and with new probes. In our atomic fermionic quantum gas microscope, we can detect both charge and spin degrees of freedom simultaneously, thereby gaining maximum information on the intricate interplay between the two in the Fermi Hubbard model. In my talk, I will show how we can reveal hidden magnetic order, directly image individual magnetic polarons, probe the fractionalisation of spin and charge in dynamical experiments, reveal the crossover from a polaronic metal to a Fermi liquid when continuously increasing the doping in the system. Finally, I wil present latest results on the observation of hole pairing and density wave formation in mixed dimensional Fermi Hubbard ladders. For the first time we thereby have access to directly probe microscopic correlation properties of quantum matter and to explore its real space resolved dynamical features also far from equilibrium. 
Thursday, March 17, 2022 5:24PM  6:00PM 
W28.00005: Magnetic polarons in and outof equilibrium in strongly interacting antiferromagnets Invited Speaker: Georg Bruun We develop a nonperturbative theoretical framework to describe the microscopic properties of magnetic polarons formed by holes hopping in an antiferromagnetic background on a square lattice. Based on the selfconsistent Born approximation, we obtain a complete description of the polaron wave function by solving a set of Dysonlike equations that permit to compute relevant spinhole correlation functions. We apply this new method to analyze the spatial structure of the magnetic polaron, which is shown to have a remarkably high symmetry and a surprising misalignment between its orientation and the crystal momentum. Our theory is then generalised to the outofequilibrium case, and we derive an expression for the timedependent nonperturbative wavefunction of the hole after it is initially created at a given lattice site. Using this wave function, we calculate the holedynamics and find excellent agreement with recent experimental results both for short and for long times. We end by discussing magnetic polarons in other lattice geometries. 
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