{ "id": "2302.09964", "version": "v1", "published": "2023-02-20T13:18:36.000Z", "updated": "2023-02-20T13:18:36.000Z", "title": "Photon condensation, Van Vleck paramagnetism, and chiral cavities", "authors": [ "Alberto Mercurio", "Gian Marcello Andolina", "Francesco M. D. Pellegrino", "Omar Di Stefano", "Pablo Jarillo-Herrero", "Claudia Felser", "Frank H. L. Koppens", "Salvatore Savasta", "Marco Polini" ], "comment": "14 pages, 3 figures", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "We introduce a gauge-invariant model of planar, square molecules coupled to a quantized spatially-varying cavity electromagnetic vector potential $\\hat{\\bm A}({\\bm r})$. Specifically, we choose a temporally {\\it chiral} cavity hosting a uniform magnetic field $\\hat{\\bm B}$, as this is the simplest instance in which a transverse spatially-varying $\\hat{\\bm A}({\\bm r})$ is at play. We show that when the molecules are in the Van Vleck paramagnetic regime, an equilibrium quantum phase transition to a photon condensate state occurs.", "revisions": [ { "version": "v1", "updated": "2023-02-20T13:18:36.000Z" } ], "analyses": { "keywords": [ "van vleck paramagnetism", "photon condensation", "chiral cavities", "photon condensate state occurs", "spatially-varying cavity electromagnetic vector potential" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }