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.
| Author: | J. Chwedeńczuk, Francesco PiazzaORCiDGND, A. Smerzi |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/108365 |
| ISSN: | 1050-2947OPAC |
| ISSN: | 1094-1622OPAC |
| Parent Title (English): | Physical Review A |
| Publisher: | American Physical Society (APS) |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2013 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/10/16 |
| Tag: | Atomic and Molecular Physics, and Optics |
| Volume: | 87 |
| Issue: | 3 |
| First Page: | 033607 |
| DOI: | https://doi.org/10.1103/physreva.87.033607 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III |
