Journal
PHYSICAL REVIEW RESEARCH
Volume 4, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.4.023191
Keywords
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Categories
Funding
- Fundacao para a Ciencia e a Tecnologia (FCT-Portugal) [PD/BD/114335/2016, CEECIND/00401/2018]
- Quantum Flagship Grant PhoQus of the European Union [820392]
- Spanish Ministry of Education and Vocational Training (MEFP) through the Beatriz Galindo program [BEAGAL18/00203]
- ERC AdG NOQIA
- Agencia Estatal de Investigacion (MCIN/AEI) [CEX2019-000910-S, PID2019-106901GB-I00, PCI2019-111828-2, RTC2019-007196-7]
- Fundacio Cellex
- Fundacio Mir-Puig
- Generalitat de Catalunya through the European Social Fund FEDER and CERCA program (AGAUR) [2017 SGR 134, U16-011424]
- ERDF
- EU [899794]
- National Science Centre, Poland [2016/20/W/ST4/00314]
- European Union [101029393, 847648, ID100010434, LCF/BQ/PI19/11690013, LCF/BQ/PI20/11760031, LCF/BQ/PR20/11770012, LCF/BQ/PR21/11840013]
- Swiss National Science Foundation (NCCR SwissMAP)
- Fundação para a Ciência e a Tecnologia [PD/BD/114335/2016] Funding Source: FCT
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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.
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.
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