We propose a scheme for continuously measuring an evolving quantum phase with
precision beyond the standard quantum limit of $\Delta \phi_SQL =
1/N$ radians, where $N$ is the number of pseudospins. Quantum
non-demolition measurements of a lossy cavity mode interacting with an atomic
ensemble are used to directly probe the phase of the collective atomic spin
without converting it into a population difference. Unlike traditional Ramsey
measurement sequences, our scheme allows for real-time tracking of time-varying
signals. As a bonus, spin-squeezed states develop naturally, providing
real-time phase estimation significantly more precise than $\Delta
\phi_SQL$.
%0 Generic
%1 shankar2018continuous
%A Shankar, Athreya
%A Greve, Graham P.
%A Wu, Baochen
%A Thompson, James K.
%A Holland, Murray
%D 2018
%K non-demolition-measurement quantum_metrology theory
%T Continuous real-time tracking of a quantum phase below the standard
quantum limit
%U http://arxiv.org/abs/1809.08216
%X We propose a scheme for continuously measuring an evolving quantum phase with
precision beyond the standard quantum limit of $\Delta \phi_SQL =
1/N$ radians, where $N$ is the number of pseudospins. Quantum
non-demolition measurements of a lossy cavity mode interacting with an atomic
ensemble are used to directly probe the phase of the collective atomic spin
without converting it into a population difference. Unlike traditional Ramsey
measurement sequences, our scheme allows for real-time tracking of time-varying
signals. As a bonus, spin-squeezed states develop naturally, providing
real-time phase estimation significantly more precise than $\Delta
\phi_SQL$.
@misc{shankar2018continuous,
abstract = {We propose a scheme for continuously measuring an evolving quantum phase with
precision beyond the standard quantum limit of $\Delta \phi_\text{SQL} =
1/\sqrt{N}$ radians, where $N$ is the number of pseudospins. Quantum
non-demolition measurements of a lossy cavity mode interacting with an atomic
ensemble are used to directly probe the phase of the collective atomic spin
without converting it into a population difference. Unlike traditional Ramsey
measurement sequences, our scheme allows for real-time tracking of time-varying
signals. As a bonus, spin-squeezed states develop naturally, providing
real-time phase estimation significantly more precise than $\Delta
\phi_\text{SQL}$.},
added-at = {2018-10-01T14:47:38.000+0200},
author = {Shankar, Athreya and Greve, Graham P. and Wu, Baochen and Thompson, James K. and Holland, Murray},
biburl = {https://www.bibsonomy.org/bibtex/24ee789aff42db1a4903d862fc3e16676/marschu},
interhash = {b46e5e1b69be7de85ff7bf52da52a513},
intrahash = {4ee789aff42db1a4903d862fc3e16676},
keywords = {non-demolition-measurement quantum_metrology theory},
note = {cite arxiv:1809.08216Comment: 6 + 3 pages, 3 figures, includes Supplemental Material},
timestamp = {2018-11-13T09:56:35.000+0100},
title = {Continuous real-time tracking of a quantum phase below the standard
quantum limit},
url = {http://arxiv.org/abs/1809.08216},
year = 2018
}