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Q: Fachverband Quantenoptik und Photonik

Q 20: Quantum Many-Body Dynamics

Q 20.7: Talk

Tuesday, March 12, 2024, 12:30–12:45, HS 3118

Antiferromagnetic bosonic t-J models and their quantum simulation — •Timothy J. Harris1,2, Ulrich Schollwöck1,2, Annabelle Bohrdt2,3, and Fabian Grusdt1,21Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, 80333 München, München, Germany — 2Munich Center for Quantum Science and Technology, 80799 München, Germany — 3Institut für Theoretische Physik, Universität Regensburg, 93035 Regensburg, Germany

Understanding the microscopic origins of the competition between spin and charge degrees of freedom is a central challenge at the heart of strongly correlated many-body physics. Recently, the combination of optical tweezer arrays with systems exhibiting strong interactions, such as Rydberg atoms or ultracold polar molecules, has opened the door for quantum simulation platforms to explore a wide variety of spin models. A significant next step will be the combination of such settings with mobile dopants, in order to study the physics of doped quantum magnets. Here we present recent numerical results from large-scale density matrix renormalization group (DMRG) calculations investigating the phase diagram of the bosonic t-J model with cylindrical boundary conditions at low doping. By introducing antiferromagnetic (AFM) couplings between neighbouring spins, we realize competition between the charge motion and magnetic order similar to that observed in high-Tc cuprates.

Keywords: bosonic t – J model; quantum magnetism; quantum simulation; optical lattices; tensor networks

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