{"id":{"repo_id":"purdue-thes","oai_identifier":"oai:docs.lib.purdue.edu:open_access_dissertations-1031"},"canonical_url":"https://search.dev.ndltd.org/etd/purdue-thes/oai:docs.lib.purdue.edu:open_access_dissertations-1031","repository":{"repo_id":"purdue-thes","name":"Purdue University","base_url":"https://docs.lib.purdue.edu/do/oai/"},"display":{"title":"Measurement of a Weak Transition Moment Using Coherent Control","abstract":"<p>We have developed a two-pathway Coherent Control technique for measurements of weak optical transition moments. We demonstrate this technique through a measurement of the transition moment of the highly-forbidden magnetic dipole transition between the 6s<sup>2</sup>S<sub>1/2</sub>1/2 and 7s<sup>2</sup>S<sub>1/2</sub>1/2 states in atomic Cesium. The experimental principle is based on a two-pathway excitation, using two phase-coherent laser fields, a fundamental field at 1079 nm and its second harmonic at 539.5 nm. The IR field induces a strong two-photon transition, while the 539.5 nm field drives a pair of weak one-photon transitions: a Stark-induced transition of controllable strength as well as the magnetic dipole transition. Observations of the interference between these transitions for different Stark-induced transition amplitudes, allow a measurement of the ratio of the magnetic dipole to the Stark-induced moment. The interference between the transitions is controlled by modulation of the phase-delay between the two optical fields. Our determination of the magnetic dipole moment is at the 0.4% level and in good agreement with previous measurements, and serves as a benchmark for our technique and apparatus. We anticipate that with further improvement of the apparatus detection sensitivity, the demonstrated scheme can be used for measurements of the very weak Parity Violation transition moment on the Cesium 6s<sup>2</sup>S<sub>1/2</sub>1/2→7s<sup>2</sup>S<sub>1/2</sub>1/2 transition.</p>","abstract_html":"&lt;p&gt;We have developed a two-pathway Coherent Control technique for measurements of weak optical transition moments. We demonstrate this technique through a measurement of the transition moment of the highly-forbidden magnetic dipole transition between the 6s&lt;sup&gt;2&lt;/sup&gt;S&lt;sub&gt;1/2&lt;/sub&gt;1/2 and 7s&lt;sup&gt;2&lt;/sup&gt;S&lt;sub&gt;1/2&lt;/sub&gt;1/2 states in atomic Cesium. The experimental principle is based on a two-pathway excitation, using two phase-coherent laser fields, a fundamental field at 1079 nm and its second harmonic at 539.5 nm. The IR field induces a strong two-photon transition, while the 539.5 nm field drives a pair of weak one-photon transitions: a Stark-induced transition of controllable strength as well as the magnetic dipole transition. Observations of the interference between these transitions for different Stark-induced transition amplitudes, allow a measurement of the ratio of the magnetic dipole to the Stark-induced moment. The interference between the transitions is controlled by modulation of the phase-delay between the two optical fields. Our determination of the magnetic dipole moment is at the 0.4% level and in good agreement with previous measurements, and serves as a benchmark for our technique and apparatus. We anticipate that with further improvement of the apparatus detection sensitivity, the demonstrated scheme can be used for measurements of the very weak Parity Violation transition moment on the Cesium 6s&lt;sup&gt;2&lt;/sup&gt;S&lt;sub&gt;1/2&lt;/sub&gt;1/2→7s&lt;sup&gt;2&lt;/sup&gt;S&lt;sub&gt;1/2&lt;/sub&gt;1/2 transition.&lt;/p&gt;","abstract_has_math":false,"creators":["Antypas, Dionysios"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Daniel S. Elliott","Ephraim Fischbach","David D. Nolte","Sergei Savikhin"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-10-01T07:00:00Z","date_published":"2013-10-01T07:00:00Z","updated_at":"2026-07-24T03:53:02Z","subjects":["pure sciences","coherent control","atomic cesium","parity violation","Atomic, Molecular and Optical Physics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://docs.lib.purdue.edu/open_access_dissertations/183","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Daniel S. Elliott","Ephraim Fischbach","David D. 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We demonstrate this technique through a measurement of the transition moment of the highly-forbidden magnetic dipole transition between the 6s<sup>2</sup>S<sub>1/2</sub>1/2 and 7s<sup>2</sup>S<sub>1/2</sub>1/2 states in atomic Cesium. The experimental principle is based on a two-pathway excitation, using two phase-coherent laser fields, a fundamental field at 1079 nm and its second harmonic at 539.5 nm. The IR field induces a strong two-photon transition, while the 539.5 nm field drives a pair of weak one-photon transitions: a Stark-induced transition of controllable strength as well as the magnetic dipole transition. Observations of the interference between these transitions for different Stark-induced transition amplitudes, allow a measurement of the ratio of the magnetic dipole to the Stark-induced moment. The interference between the transitions is controlled by modulation of the phase-delay between the two optical fields. Our determination of the magnetic dipole moment is at the 0.4% level and in good agreement with previous measurements, and serves as a benchmark for our technique and apparatus. We anticipate that with further improvement of the apparatus detection sensitivity, the demonstrated scheme can be used for measurements of the very weak Parity Violation transition moment on the Cesium 6s<sup>2</sup>S<sub>1/2</sub>1/2→7s<sup>2</sup>S<sub>1/2</sub>1/2 transition.</p>"]},{"key":"dc:title","label":"Title","values":["Measurement of a Weak Transition Moment Using Coherent Control"]}]}],"canonical_facts":{"dc:contributor":["Daniel S. Elliott","Ephraim Fischbach","David D. Nolte","Sergei Savikhin"],"dc:creator":["Antypas, Dionysios"],"dc:description.abstract":["<p>We have developed a two-pathway Coherent Control technique for measurements of weak optical transition moments. We demonstrate this technique through a measurement of the transition moment of the highly-forbidden magnetic dipole transition between the 6s<sup>2</sup>S<sub>1/2</sub>1/2 and 7s<sup>2</sup>S<sub>1/2</sub>1/2 states in atomic Cesium. The experimental principle is based on a two-pathway excitation, using two phase-coherent laser fields, a fundamental field at 1079 nm and its second harmonic at 539.5 nm. The IR field induces a strong two-photon transition, while the 539.5 nm field drives a pair of weak one-photon transitions: a Stark-induced transition of controllable strength as well as the magnetic dipole transition. Observations of the interference between these transitions for different Stark-induced transition amplitudes, allow a measurement of the ratio of the magnetic dipole to the Stark-induced moment. The interference between the transitions is controlled by modulation of the phase-delay between the two optical fields. Our determination of the magnetic dipole moment is at the 0.4% level and in good agreement with previous measurements, and serves as a benchmark for our technique and apparatus. We anticipate that with further improvement of the apparatus detection sensitivity, the demonstrated scheme can be used for measurements of the very weak Parity Violation transition moment on the Cesium 6s<sup>2</sup>S<sub>1/2</sub>1/2→7s<sup>2</sup>S<sub>1/2</sub>1/2 transition.</p>"],"dc:identifier":["https://docs.lib.purdue.edu/open_access_dissertations/183"],"dc:subject":["pure sciences","coherent control","atomic cesium","parity violation","Atomic, Molecular and Optical Physics"],"dc:title":["Measurement of a Weak Transition Moment Using Coherent Control"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:53:02Z"}