Self-consistent many-body metrology
- URL: http://arxiv.org/abs/2310.02580v3
- Date: Wed, 1 May 2024 04:03:34 GMT
- Title: Self-consistent many-body metrology
- Authors: Jae-Gyun Baak, Uwe R. Fischer,
- Abstract summary: We use a self-consistent many-body approach of the multiconfigurational Hartree type to treat trapped bosons.
We show that various metrological quantities are deeply affected by the orbitals' change during the quantum evolution.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate performing classical and quantum metrology and parameter estimation by using interacting trapped bosons, which we theoretically treat by a self-consistent many-body approach of the multiconfigurational Hartree type. Focusing on a tilted double-well geometry, we compare a self-consistently determined and monitored two-mode truncation, with dynamically changing orbitals, to the conventional two-mode approach of fixed orbitals, where only Fock space coefficients evolve in time. We demonstrate that, as a consequence, various metrological quantities associated to a concrete measurement such as the classical Fisher information and the maximum likelihood estimator are deeply affected by the orbitals' change during the quantum evolution. Self-consistency of the quantum many-body dynamics of interacting trapped ultracold gases thus fundamentally affects the attainable parameter estimation accuracy of a given metrological protocol.
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