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Q: Fachverband Quantenoptik und Photonik
Q 63: Poster – Quantum Information (joint session QI/Q)
Q 63.62: Poster
Donnerstag, 13. März 2025, 17:00–19:00, Tent
Gradient magnetometry with atomic ensembles — •Iagoba Apellaniz1, Iñigo Urizar-Lanz1, Zóltan Zimborás1,2,3, Philipp Hyllus1, and Géza Tóth1,3,4 — 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, P. O. Box 644, ES-48080 Bilbao, Spain — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, DE-14195 Berlin, Germany — 3Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, HU-1525 Budapest, Hungary — 4IKERBASQUE, Basque Foundation for Science, ES-48013 Bilbao, Spain
We study gradient magnetometry with an ensemble of atoms with arbitrary spin. We calculate precision bounds for estimating the gradient of the magnetic field based on the quantum Fisher information. For quantum states that are invariant under homogeneous magnetic fields, we need to measure a single observable to estimate the gradient. On the other hand, for states that are sensitive to homogeneous fields, a simultaneous measurement is needed. We present a method to calculate precision bounds for gradient estimation with a chain of atoms or with two spatially separated atomic ensembles. We also consider a single atomic ensemble with an arbitrary density profile, where the atoms cannot be addressed individually, and which is a very relevant case for experiments. Our model can take into account even correlations between particle positions. While in most of the discussion we consider an ensemble of localized particles that are classical with respect to their spatial degree of freedom, we also discuss the case of gradient metrology with a single Bose-Einstein condensate.
Keywords: Quantum Information; Quantum Entanglement; Quantum Metrology