Bose and Fermi Polarons in Atom — Ion Hybrid Systems: Charged quasiparticles, dressed by the low-energy excitations of an electron gas, constitute one of the fundamental pillars for understanding quantum many-body effects in various materials. Quantum simulations of quasiparticles arising from atom–ion hybrid systems may provide new insights into unexplored regimes of solid-state physics.In this talk, we focus on ionic polarons, which emerge when charged dopants interact with a Bose–Einstein condensate [1—3] or with a polarized Fermi gas [3]. We demonstrate that even in a comparatively simple setup—charged impurities immersed in a weakly interacting bosonic medium or in an ideal Fermi gas with a tunable atom–ion scattering length—the competition of length scales produces qualitatively different outcomes. In the bosonic case, a highly correlated mesoscopic state emerges, whereas in the fermionic case, a molecular state forms.Using quantum Monte Carlo simulations, we reveal the vastly different polaronic properties of these ionic systems compared to neutral quantum impurities. Unlike neutral impurities, ionic polarons can bind a large number of excitations, leading to a nontrivial interplay between few- and many-body physics. This fundamentally alters the ground-state properties of the polaron. Our results may also shed light on related systems, such as how composite excitons—bound states of an electron and a hole—affect many-body physics when interacting with a two-dimensional electron gas.
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