{ "id": "1910.13100", "version": "v1", "published": "2019-10-29T06:07:28.000Z", "updated": "2019-10-29T06:07:28.000Z", "title": "Subradiance of multilevel fermionic atoms in arrays with filling $n \\geq 2$", "authors": [ "A. PiƱeiro Orioli", "A. M. Rey" ], "comment": "15+8 pages, 9 figures", "categories": [ "quant-ph", "cond-mat.quant-gas", "physics.atom-ph" ], "abstract": "We investigate the subradiance properties of $n\\geq 2$ multilevel fermionic atoms loaded into the lowest motional level of a single trap (e.g.~a single optical lattice site or an optical tweezer). As pointed out in our previous work [arXiv:1907.05541], perfectly dark subradiant states emerge from the interplay between fermionic statistics and dipolar interactions. While in [arXiv:1907.05541] we focused on the $n=2$ case, here we provide an in-depth analysis of the single-site dark states for generic filling $n$, and show a tight connection between generic dark states and total angular momentum eigenstates. We show how the latter can also be used to understand the full eigenstate structure of the single-site problem, which we analyze numerically. Apart from this, we discuss two possible schemes to coherently prepare dark states using either a Raman transition or an external magnetic field to lift the Zeeman degeneracy. Although the analysis focuses on the single-site problem, we show that multi-site dark states can be trivially constructed in any geometry out of product states of single-site dark states. Finally, we discuss some possible implementations with alkaline-earth(-like) atoms such as $^{171}$Yb or $^{87}$Sr loaded into optical lattices, where they could be used for potential applications in quantum metrology and quantum information.", "revisions": [ { "version": "v1", "updated": "2019-10-29T06:07:28.000Z" } ], "analyses": { "keywords": [ "multilevel fermionic atoms", "single-site dark states", "subradiance", "single-site problem", "total angular momentum eigenstates" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }