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SAMOP 2023 – scientific programme

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QI: Fachverband Quanteninformation

QI 13: Quantum Simulation

QI 13.8: Talk

Tuesday, March 7, 2023, 12:45–13:00, F428

Confinement in doped Z2 lattice gauge theories — •Simon Linsel1,2, Lukas Homeier1,2,3, Annabelle Bohrdt3,4, and Fabian Grusdt1,21Ludwig-Maximilians-Universität München, Munich. Germany — 2Munich Center for Quantum Science and Technology (MCQST), Munich, Germany — 3Harvard University, Cambridge, MA, USA — 4ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, MA, USA

In proof-of-principle experiments, ultracold atoms have demonstrated that Z2 lattice gauge theories with dynamical matter can be studied in quantum simulators, and realistic proposals for large-scale realizations exist. Here we study the deconfinement of charges in such models, with a strong focus on observables directly accessible from snapshots generated by quantum simulators. We demonstrate that in the τx-basis the confined phase is characterized by localized hole pairs connected by (short) strings while deconfinement implies a global net of strings spanning over the entire lattice: We probe deconfinement with Monte Carlo simulations using percolation-inspired order parameters. Moreover, we simulate a Hamiltonian in two dimensions that is experimentally realistic. For small doping, there is a thermal deconfinement phase transition. For large doping, charges are always confined in the thermodynamic limit. For a related three-dimensional model, a thermal deconfinement phase transition exists for arbitrary doping. We map out the phase diagram and calculate the critical exponents. We speculate whether the use of percolation-inspired order parameters can be extended to the Fradkin-Shenker model and related models.

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