dorsal/arxiv
View SchemaParticle-number scaling of the phase sensitivity in realistic Bayesian twin-mode Heisenberg-limited interferometry
| Authors | Raphael Pooser, Olivier Pfister |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312114 |
| URL | https://arxiv.org/abs/quant-ph/0312114 |
| DOI | 10.1103/PhysRevA.69.043616 |
| Journal | Phys. Rev. A 69, 043616 (2004) |
Abstract
We investigate the scaling of the phase sensitivity of a nonideal Heisenberg-limited interferometer with the particle number N, in the case of the Bayesian detection procedure proposed by Holland and Burnett [p.r.l. 71, p. 1355 (1993)] for twin boson input modes. Using Monte Carlo simulations for up to 10,000 bosons, we show that the phase error of a nonideal interferometer scales with the Heisenberg limit if the losses are of the order of N^-1. Greater losses degrade the scaling which is then in N^-1/2, like the shot-noise limit, yet the sensitivity stays sub-shot-noise as long as photon correlations are present. These results give the actual limits of Bayesian detection for twin-mode interferometry and prove that it is an experimentally feasible scheme, contrary to what is implied by the coincidence-detection analysis of Kim et al. [p.r.a. 60, p. 708 (1999)].
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"abstract": "We investigate the scaling of the phase sensitivity of a nonideal\nHeisenberg-limited interferometer with the particle number N, in the case of\nthe Bayesian detection procedure proposed by Holland and Burnett [p.r.l. 71, p.\n1355 (1993)] for twin boson input modes. Using Monte Carlo simulations for up\nto 10,000 bosons, we show that the phase error of a nonideal interferometer\nscales with the Heisenberg limit if the losses are of the order of N^-1.\nGreater losses degrade the scaling which is then in N^-1/2, like the shot-noise\nlimit, yet the sensitivity stays sub-shot-noise as long as photon correlations\nare present. These results give the actual limits of Bayesian detection for\ntwin-mode interferometry and prove that it is an experimentally feasible\nscheme, contrary to what is implied by the coincidence-detection analysis of\nKim et al. [p.r.a. 60, p. 708 (1999)].",
"arxiv_id": "quant-ph/0312114",
"authors": [
"Raphael Pooser",
"Olivier Pfister"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.043616",
"journal_ref": "Phys. Rev. A 69, 043616 (2004)",
"title": "Particle-number scaling of the phase sensitivity in realistic Bayesian twin-mode Heisenberg-limited interferometry",
"url": "https://arxiv.org/abs/quant-ph/0312114"
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