Motional quantum state engineering for quantum logic spectroscopy of molecular ions

Publikation: Qualifikations-/StudienabschlussarbeitDissertation

Autoren

  • Fabian Wolf

Organisationseinheiten

Externe Organisationen

  • Physikalisch-Technische Bundesanstalt (PTB)
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Details

OriginalspracheEnglisch
QualifikationDoctor rerum naturalium
Gradverleihende Hochschule
Betreut von
Datum der Verleihung des Grades22 Juni 2018
ErscheinungsortHannover
PublikationsstatusVeröffentlicht - 2019

Abstract

Hochpräzisionsspektroskopie von Molekülionen ist ein vielversprechendes Werkzeug für die Untersuchung fundamentaler physikalischer Phänomene. Potentielle Anwendungen beinhalten die Suche nach einer möglichen Variation von fundamentalen Konstanten, die Messung des elektrischen Dipolmoments des Elektrons oder die direkte Messung von Frequenzverschiebungen durch Paritätsverletzung in chiralen Molekülen. Aus der komplexen Struktur von Molekülen mit den zusätzlichen Freiheitsgraden der Rotation und Vibration resultiert im Allgemeinen eine dichte Levelstruktur ohne geschlossene Übergänge. Das Fehlen von geschlossenen Übergängen führt dazu, dass Techniken, die hochpräzise Atomspektroskopie ermöglicht haben, wie die direkte Laserkühlung, optisches Pumpen und Fluoreszenzdetektion, nicht auf die meisten Molekülionen anwendbar sind. Einen Ausweg, um dennoch hochpräzise Spektroskopie an Molekülionen durch-führen zu können, bieten Techniken, die auf Quantenlogik basieren. Neben dem Molekül wird ein atomares Ion gefangen, bei dem Laserkühlung und Zustands-detektion über herkömmliche Methoden möglich sind. Über die Coulombwechsel-wirkung wird die Bewegung der beiden Ionen gekoppelt. Dies ermöglicht sympathetische Kühlung und Informationsübertrag von dem Molekül auf das atomare Ion. In dieser kummulativen Dissertation wird die erste Implementierung von Quantenlogik zum Auslesen des internen Zustands des Moleküls 24MgH+ über ein 25Mg+-Ion präsentiert. Dazu wird eine zustandsabhängige Kraft, die auf das Molekül wirkt, mit dem Magnesium-Ion detektiert.Des Weiteren wird eine quantenverstärkte Kraftmessung demonstriert, die sich direkt auf die zuvor vorgestellte Molekül-messung anwenden lässt, aber noch weitreichendere Anwendungen in der Quantenmetrologie findet. Der metrologische Vorteil durch das Ausnutzen der Quanteneigenschaften der Ionenbewegung ist unabhängig von der Phase ist, mit welcher die Kraft oszilliert. Dies ist ein wesentlicher Unterschied zu Methoden, die auf gequetschten und Schrödinger-Katzen-Zuständen beruhen und ermöglicht es, den gleichen Ausgangszustand für die quantenverstärkte Messung zweier konjugierter Variablen zu nutzen.

Zitieren

Motional quantum state engineering for quantum logic spectroscopy of molecular ions. / Wolf, Fabian.
Hannover, 2019. 102 S.

Publikation: Qualifikations-/StudienabschlussarbeitDissertation

Wolf, F 2019, 'Motional quantum state engineering for quantum logic spectroscopy of molecular ions', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover.
Wolf, F. (2019). Motional quantum state engineering for quantum logic spectroscopy of molecular ions. [Dissertation, Gottfried Wilhelm Leibniz Universität Hannover].
Download
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abstract = "High precision spectroscopy of molecular ions is a promising tool for the investigation of fundamental physics. Potential applications are the search for a possible variation of fundamental constants, the measurement of an electron electric dipole moment or the direct measurement of a frequency shift caused by parity violation in chiral molecules. The complex structure of molecules including the additional degrees of freedom, namely rotation and vibration, in general results in a dense level structure and the absence of closed cycling transitions. Consequently, techniques that have enabled high precision laser spectroscopy on atomic ions, such as direct laser cooling, optical pumping and fluorescence detection, are not applicable to most molecular ions. This obstacle can be overcome by employing quantum logic techniques to enable precision spectroscopy on molecules. For this purpose, the molecular ion is co-trapped with an atomic ion that has a suitable transition for laser cooling and state detection. The Coulomb repulsion couples the motional degrees of freedom of the ions. This coupling enables sympathetic cooling and information transfer from the molecule's internal state to the atomic qubit. In this cumulative thesis, the first experimental implementation of a quantum logic assisted scheme for reading out the internal state of a molecular ion is presented. In this scheme, the magnesium-25 ion is used to detect a state dependent force that acts on the molecular 24MgH+-ion. Furthermore, a quantum-enhanced force sensing protocol is demonstrated, which can be applied to the previously described molecule measurement, but has further applications in the more general field of quantum metrology. A salient feature of the presented quantum sensing protocol is that the metrological gain, achieved by employing the quantum features of the ion's motional state, is independent of the phase of the measured oscillating force. This is a substantial difference to previously demonstrated schemes based on squeezed states or Schr{\"o}dinger cat states, and allows probing of two conjugate variables with sensitivities below the classical limit using the same initial quantum state.",
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