Many-body effects in quantum metrology

Jan Czajkowski, Krzysztof Pawłowski, Rafal Demkowicz-Dobrzanski

Research output: Contribution to journalArticlepeer-review

Abstract

We study the impact of many-body effects on the fundamental precision limits in quantum metrology. On the one hand such effects may lead to non-linear Hamiltonians, studied in the field of nonlinear quantum metrology, while on the other hand they may result in decoherence processes that cannot be described using single-body noise models. We provide a general reasoning that allows to predict the fundamental scaling of precision in such models as a function of the number of atoms present in the system. Moreover, we describe a computationally efficient approach that allows for a simple derivation of quantitative bounds. We illustrate these general considerations by a detailed analysis of fundamental precision bounds in a paradigmatic atomic interferometry experiment with standard linear Hamiltonian but with both single and two-body losses taken into account-a model which is motivated by the most recent Bose-Einstein Condensate (BEC) magnetometry experiments. Using this example we also highlight the impact of the atom number super-selection rule on the possibility of protecting interferometric protocols against decoherence.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Oct 8 2018
Externally publishedYes

ASJC Scopus subject areas

  • General

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