Sub-Heisenberg phase uncertainties
Anno: 2013
Autori: Pezzè L.
Affiliazione autori: INO CNR, QSTAR, I-50125 Florence, Italy; LENS, I-50125 Florence, Italy.
Abstract: Phase shift estimation with uncertainty below the Heisenberg limit, Delta phi(HL) alpha 1/(N) over bar (T), where (N) over bar (T) is the total average number of particles employed, is a mirage of linear quantum interferometry. Recently, Rivas and Luis, [New J. Phys. 14, 093052 (2012)] proposed a scheme to achieve a phase uncertainty Delta phi(HL) alpha 1/(N) over bar (k)(T), with k an arbitrary exponent. This sparked an intense debate in the literature which, ultimately, does not exclude the possibility to overcome Delta phi(HL) at specific phase values. Our numerical analysis of the Rivas and Luis proposal shows that sub-Heisenberg uncertainties are obtained only when the estimator is strongly biased. No violation of the Heisenberg limit is found after bias correction or when using a bias-free Bayesian analysis.
Giornale/Rivista: PHYSICAL REVIEW A
Volume: 88 (6) Da Pagina: 60101-1 A: 60101-5
Maggiori informazioni: We thank A. Smerzi and H. Wiseman for discussions. This work has been supported by MIUR through FIRB Project No. RBFR08H058.Parole chiavi: States; LimitDOI: 10.1103/PhysRevA.88.060101Citazioni: 19dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-06-08Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
