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  • We present an accurate description of the conjugate pair angle-angular momentum in terms of the exponential of the angle instead of the angle itself, which leads to dispersion as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We discuss Gaussian approximations to these optimal states in terms of von Mises distributions. The theory is successfully applied to the spatial degrees of freedom of a photon and verified in an experiment that employs computer-controlled spatial light modulators at both the state preparation and the analyzing stages.
  • We present an accurate description of the conjugate pair angle-angular momentum in terms of the exponential of the angle instead of the angle itself, which leads to dispersion as a natural measure of resolution. Intelligent states minimizing the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum turn out to be given by Mathieu wave functions. We discuss Gaussian approximations to these optimal states in terms of von Mises distributions. The theory is successfully applied to the spatial degrees of freedom of a photon and verified in an experiment that employs computer-controlled spatial light modulators at both the state preparation and the analyzing stages. (en)
  • Byly nalezeny %22inteligentní%22 kvantové stavy minimalizující neurčitost úhlového momentu pro danou hodnotu úhlové disperze a obráceně. Teorie byla experimentálně ověřena s využitím vnějších stupňů volnosti světla. (cs)
Title
  • Minimum uncertainty measurements of angle and angular momentum
  • Minimum uncertainty measurements of angle and angular momentum (en)
  • Měření úhlu a úhloveho momentu s minimalní neurčitostí (cs)
skos:prefLabel
  • Minimum uncertainty measurements of angle and angular momentum
  • Minimum uncertainty measurements of angle and angular momentum (en)
  • Měření úhlu a úhloveho momentu s minimalní neurčitostí (cs)
skos:notation
  • RIV/61989592:15310/06:00003006!RIV07-GA0-15310___
http://linked.open.../vavai/riv/strany
  • 2436011-2436014
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/06/0307), P(LC06007), Z(MSM6198959213)
http://linked.open...iv/cisloPeriodika
  • 24
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 485913
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/06:00003006
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • SQUEEZED STATES; LIGHT; POSITION; BEAMS (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1E437ECCC2A0]
http://linked.open...i/riv/nazevZdroje
  • Physical Review Letters
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 97
http://linked.open...iv/tvurceVysledku
  • Hradil, Zdeněk
  • Řeháček, Jaroslav
  • Bouchal, Zdeněk
  • ČelechovskÝ, Radek
  • Sanchez, Soto L. L.
http://linked.open...n/vavai/riv/zamer
issn
  • 0031-9007
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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