Adaptive Phase Measurements

Berry, Dominic William (2002). Adaptive Phase Measurements PhD Thesis, School of Physical Sciences, The University of Queensland.

 
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Author(s) Berry, Dominic William
Thesis Title Adaptive Phase Measurements
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
Publication date 2002
Thesis type PhD Thesis
Supervisor(s) H. M. Wiseman
Total pages 209
Collection year 2002
Language eng
Subjects 240402 Quantum Optics and Lasers
240201 Theoretical Physics
780102 Physical sciences
Abstract/Summary In this thesis I consider the general problem of how to make the best possible phase measurements using feedback. Both the optimum input state and optimum feedback are considered for both single-mode dyne measurements and two-mode interferometric measurements. I derive the optimum input states under general dyne measurements when the mean photon number is fixed, both for general states and squeezed states. I propose a new feedback scheme that introduces far less phase uncertainty than mark II feedback, and is very close to the theoretical limit. I also derive results for the phase variance when there is a time delay in the feedback loop, showing that there is a lower limit to the introduced phase variance, and this is approached quite accurately under some conditions. I derive the optimum input states for interferometry, showing that the phase uncertainty scales as 1/N for all the common measures of uncertainty. This is contrasted with the |j0> state, which does not scale as 1/N for all measures of phase uncertainty. I introduce an adaptive feedback scheme that is very close to optimum, and can give scaling very close to 1/N for the uncertainty. Lastly I consider the case of continuous measurements, for both the dyne and interferometric cases.
Keyword(s) phase measurement
auxiliary phase shift
homodyne measurement
phase uncertainty
Additional Notes The full thesis is held in the Australian Digital Theses Program site and is available from there - http://adt.library.uq.edu.au/public/adt-QU20020917.175936/index.html
 
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