Resumen:
|
[EN] We propose experimentally feasible means for nondestructive thermometry of homogeneous Bose-Einstein condensates in different spatial dimensions (d is an element of {1 , 2, 3}). Our impurity-based protocol suggests ...[+]
[EN] We propose experimentally feasible means for nondestructive thermometry of homogeneous Bose-Einstein condensates in different spatial dimensions (d is an element of {1 , 2, 3}). Our impurity-based protocol suggests that the fundamental error bound on thermometry at the subnanokelvin domain depends highly on the dimension, in that the higher the dimension the better the precision. Furthermore, suboptimal thermometry of the condensates by using measurements that are experimentally feasible is explored. We specifically focus on measuring position and momentum of the impurity that belong to the family of Gaussian measurements. We show that, generally, experimentally feasible measurements are far from optimal, except in one dimension, where position measurements are indeed optimal. This makes realistic experiments perform very well at few nanokelvin temperatures for all dimensions, and at subnanokelvin temperatures in the one-dimensional scenario. These results take a significant step towards experimental realization of probe-based quantum thermometry of Bose-Einstein condensates, as it deals with them in one, two, and three dimensions and uses feasible measurements applicable in current experimental setups.
[-]
|
Agradecimientos:
|
M.M.K. acknowledges support from Fundacao para a Ciencia e a Tecnologia (FCT-Portugal) through Grant No. PD/BD/114335/2016. H.T. acknowledges Fundacao para a Ciencia e a Tecnologia (FCT Portugal) through Con-tract No ...[+]
M.M.K. acknowledges support from Fundacao para a Ciencia e a Tecnologia (FCT-Portugal) through Grant No. PD/BD/114335/2016. H.T. acknowledges Fundacao para a Ciencia e a Tecnologia (FCT Portugal) through Con-tract No CEECIND/00401/2018, and the financial support through the Quantum Flagship Grant PhoQus (Grant No. 820392) of the European Union. M.A.G.M. acknowledges funding from the Spanish Ministry of Education and Vocational Training (MEFP) through the Beatriz Galindo program 2018 (BEAGAL18/00203) . ICFO group acknowl-edges support from: ERC AdG NOQIA; Agencia Estatal de Investigacion (R&D project CEX2019-000910-S, funded by MCIN/AEI/10.13039/501100011033, Plan Na-tional FIDEUA PID2019-106901GB-I00, FPI, QUANTERA MAQS PCI2019-111828-2, Proyectos de I+D+I ?Retos Co-laboraci?n? QUSPIN RTC2019-007196-7) ; Fundacio Cellex; Fundacio Mir-Puig; Generalitat de Catalunya through the European Social Fund FEDER and CERCA program (AGAUR Grant No. 2017 SGR 134, QuantumCAT \ U16-011424, co-funded by ERDF Operational Program of Catalonia 2014-2020) ; EU Horizon 2020 FET-OPEN OPTOlogic (Grant No 899794) ; National Science Centre, Poland (Symfonia Grant No. 2016/20/W/ST4/00314) ; European Union?s Horizon 2020 research and innova-tion programme under the Marie-Sk?odowska-Curie Grant Agreement No. 101029393 (STREDCH) and No. 847648 (?La Caixa? Junior Leaders fellowships ID100010434: LCF/BQ/PI19/11690013, LCF/BQ/PI20/11760031, LCF/BQ/PR20/11770012, LCF/BQ/PR21/11840013) . M.M. acknowl-edges financial support from the Swiss National Science Foundation (NCCR SwissMAP) . M.M.K. acknowledges Rey group at JILA for the hospitality and for providing the work-ing conditions.
[-]
|