Multipath interferometer with ultracold atoms trapped in an optical lattice

  • We study an ultracold gas of N bosons trapped in a one-dimensional M-site optical lattice perturbed by a spatially dependent potential gxj, where the unknown coupling strength g is to be estimated. We find that the measurement uncertainty is bounded by Δg∝1N(Mj−1). For a typical case of a linear potential, the sensitivity improves as M−1, which is a result of multiple interferences between the sites, an advantage of multipath interferometers over two-mode setups. Next, we calculate the estimation sensitivity for a specific measurement where, after the action of the potential, the particles are released from the lattice and form an interference pattern. If the parameter is estimated by a least-squares fit of the average density to the interference pattern, the sensitivity still scales like M−1 for linear potentials. We finally discuss the role of useful entanglement of the initial state in the lattice to beat the shot-noise limit.

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Author:J. Chwedeńczuk, Francesco PiazzaORCiDGND, A. Smerzi
Frontdoor URL
Parent Title (English):Physical Review A
Publisher:American Physical Society (APS)
Year of first Publication:2013
Release Date:2023/10/16
Tag:Atomic and Molecular Physics, and Optics
First Page:033607
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III