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Controlling the motion of an atom in an optical cavity

Controlling the motion of an atom in an optical cavity

Controlling the motion of an atom in an optical cavity

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Abstract<br />

An experiment is described where slow laser-cooled <strong>atom</strong>s are <strong>in</strong>jected <strong>in</strong>to a high-f<strong>in</strong>esse<br />

<strong>optical</strong> <strong>cavity</strong>. S<strong>in</strong>gle <strong>atom</strong>s are trapped <strong>in</strong> <strong>the</strong> <strong>cavity</strong> light field <strong>an</strong>d observed by measur<strong>in</strong>g<br />

<strong>the</strong> light <strong>in</strong>tensity tr<strong>an</strong>smitted through <strong>the</strong> <strong>cavity</strong>. Feedback-based methods are realized<br />

to extend <strong>the</strong> time <strong>the</strong> <strong>atom</strong> stays <strong>in</strong> <strong>the</strong> <strong>cavity</strong>. The <strong>in</strong>fluence <strong>of</strong> <strong>atom</strong>s on <strong>the</strong> <strong>cavity</strong><br />

tr<strong>an</strong>smission <strong>an</strong>d <strong>the</strong> light force on <strong>atom</strong>s <strong>in</strong> a <strong>cavity</strong> are also <strong>an</strong>alyzed <strong>the</strong>oretically. This<br />

allows to study <strong>the</strong> <strong>motion</strong> <strong>of</strong> <strong>an</strong> <strong>atom</strong> <strong>in</strong> <strong>the</strong> <strong>cavity</strong> <strong>an</strong>d to <strong>in</strong>terpret <strong>the</strong> experimental<br />

tr<strong>an</strong>smission signals. The current limitations for <strong>the</strong> storage time are identified <strong>an</strong>d a<br />

strategy to overcome <strong>the</strong>m is suggested. Apart from that, a method is proposed which<br />

allows a two-dimensional position measurement <strong>of</strong> <strong>atom</strong>s <strong>in</strong> <strong>the</strong> <strong>cavity</strong>.<br />

Zusammenfassung<br />

Es wird über e<strong>in</strong> Experiment berichtet, <strong>in</strong> dem l<strong>an</strong>gsame laser-gekühlte Atome <strong>in</strong> e<strong>in</strong>en<br />

Resonator hoher F<strong>in</strong>esse e<strong>in</strong>gebracht werden. In dem Lichtfeld des Resonators werden<br />

e<strong>in</strong>zelne Atome gef<strong>an</strong>gen und beobachtet, <strong>in</strong>dem die durch den Resonator tr<strong>an</strong>smittierte<br />

Lichtleistung gemessen wird. Um die Zeit, die e<strong>in</strong> Atom im Resonator verbleibt, zu<br />

verlängern, werden Verfahren, die auf Rückkopplung basieren, realisiert. Der E<strong>in</strong>fluß von<br />

Atomen auf die Tr<strong>an</strong>smission des Resonators und die Lichtkraft, die auf Atome <strong>in</strong> e<strong>in</strong>em<br />

Resonator wirkt, werden auch <strong>the</strong>oretisch <strong>an</strong>alysiert. Dies erlaubt es, die Bewegung e<strong>in</strong>es<br />

Atoms im Resonator zu untersuchen und die experimentellen Tr<strong>an</strong>smissionssignale zu<br />

<strong>in</strong>terpretieren. Die Faktoren, die die Speicherzeit zur Zeit begrenzen, werden identifiziert<br />

und e<strong>in</strong>e Strategie zu derer Beseitigung wird vorgeschlagen. Außerdem wird e<strong>in</strong>e Methode<br />

vorgeschlagen, die e<strong>in</strong>e zweidimensionale Positionsmessung von Atomen <strong>in</strong> dem Resonator<br />

erlaubt.<br />

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