{ "id": "2212.08237", "version": "v1", "published": "2022-12-16T02:10:20.000Z", "updated": "2022-12-16T02:10:20.000Z", "title": "Quantum sensing of temperature close to absolute zero in a Bose-Einstein condensate", "authors": [ "Ji-Bing Yuan", "Bo Zhang", "Ya-Ju Song", "Shi-Qing Tang", "Xin-Wen Wang", "Le-Man Kuang" ], "comment": "9 pages,9 figures", "categories": [ "quant-ph" ], "abstract": "We propose a theoretical scheme for quantum sensing of temperature close to absolute zero in a quasi-one-dimensional Bose-Einstein condensate (BEC). In our scheme, a single-atom impurity qubit is used as a temper-ature sensor. We investigate the sensitivity of the single-atom sensor in estimating the temperature of the BEC. We demonstrate that the sensitivity of the temperature sensor can saturate the quantum Cramer-Rao bound by means of measuring quantum coherence of the probe qubit. We study the temperature sensing performance by the use of quantum signal-to-noise ratio (QSNR). It is indicated that there is an optimal encoding time that the QSNR can reach its maximum in the full-temperature regime. In particular, we find that the QSNR reaches a finite upper bound in the weak coupling regime even when the temperature is close to absolute zero, which implies that the sensing-error-divergence problem is avoided in our scheme. Our work opens a way for quantum sensing of temperature close to absolute zero in the BEC.", "revisions": [ { "version": "v1", "updated": "2022-12-16T02:10:20.000Z" } ], "analyses": { "keywords": [ "absolute zero", "temperature close", "quantum sensing", "quasi-one-dimensional bose-einstein condensate", "quantum signal-to-noise ratio" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }