{ "id": "1510.01723", "version": "v1", "published": "2015-10-06T19:43:34.000Z", "updated": "2015-10-06T19:43:34.000Z", "title": "Entanglement of Free Fermions and Bosons at Finite Temperature", "authors": [ "JoaquĆ­n E. Drut", "William J. Porter" ], "comment": "8 pages, 4 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.quant-gas", "hep-th", "quant-ph" ], "abstract": "We generalize techniques previously used to compute ground-state properties of one-dimensional noninteracting quantum gases to obtain exact results at finite temperature. We compute the order-n R\\'enyi entanglement entropy to all orders in the fugacity in one, two, and three spatial dimensions. In all spatial dimensions, we provide closed-form expressions for its virial expansion up to next-to-leading order. In all of our results, we find explicit volume scaling in the high-temperature limit.", "revisions": [ { "version": "v1", "updated": "2015-10-06T19:43:34.000Z" } ], "analyses": { "keywords": [ "finite temperature", "free fermions", "spatial dimensions", "order-n renyi entanglement entropy", "one-dimensional noninteracting quantum gases" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151001723D", "inspire": 1396362 } } }