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QI: Fachverband Quanteninformation

QI 32: Quantum Sensing and Metrology

QI 32.14: Talk

Friday, March 22, 2024, 13:15–13:30, HFT-FT 131

Gradient Magnetometry with Bose-Einstein Condensates — •Iagoba Apellaniz1,2,3 and Géza Tóth1,2,4,5,61Department of Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain — 2EHU Quantum Center, University of the Basque Country UPV/EHU, Leioa, Spain — 3Department of Applied Mathematics, University of the Basque Country UPV/EHU, E-48013 Bilbao, Spain — 4Donostia International Physics Center (DIPC), P.O. Box 1072, E-20080 San Sebastián, Spain — 5IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain — 6Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary

We study gradient magnetometry with BECs. We obtain the precision bounds for estimating the gradient of the magnetic field based on the quantum Fisher information [1]. For a single BEC the precision bound cannot surpass the so called shot noise limit. On the other hand, if one considers two spatially separated ensembles [2], the Heisenberg scaling can be achieved. We present a method to quantify these precision bounds based on the quantum states.

[1] I. Apellaniz et al., Phys. Rev. A, 97 053603 (2018)

[2] G. Vitagliano et al., Quantum 7, 914 (2023)

Keywords: Quantum metrology; Dicke; GHZ; Bose-Einstein

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