The presented thesis describes the setting up of an inertial sensitive atom interferometer for navigation using Rubidium 87 atoms, which is able to perform horizontal acceleration measurement. An ultra-high vacuum interferometer chamber is designed and built. The cold atoms are prepared in a compact 2D MOT setup and loaded into the main MOT. These atoms are then cooled down to few K and prepared in a magnetically insensitive ground state using a sequence of optical and microwave pulses, after which atoms are selected in a narrow band of the velocity. A three-pulse Mach-Zehnder ( pi/2 -pi-pi/2) interferometer using stimulated Raman transitions is used to measure the horizontal acceleration. To improve the sensitivity to acceleration, the fringe contrast of the interferometer requires to be optimised. By investigating the intensity profile of the Raman beams using atoms, a procedure is developed to operate the interferometer in an improved condition, which is able to enhance the fringe contrast by a factor of 3. This procedure improves the shot-to-shot sensitivity of the interferometer below 5 um/s^2. In addition, the atom interferometer is compared with a classical state-of-the-art accelerometer.
The presented thesis describes the setting up of an inertial sensitive atom interferometer for navigation using Rubidium 87 atoms, which is able to perform horizontal acceleration measurement. An ultra-high vacuum interferometer chamber is designed and built. The cold atoms are prepared in a compact 2D MOT setup and loaded into the main MOT. These atoms are then cooled down to few K and prepared in a magnetically insensitive ground state using a sequence of optical and microwave pulses, after which atoms are selected in a narrow band of the velocity. A three-pulse Mach-Zehnder ( pi/2 -pi-pi/2) interferometer using stimulated Raman transitions is used to measure the horizontal acceleration. To improve the sensitivity to acceleration, the fringe contrast of the interferometer requires to be optimised. By investigating the intensity profile of the Raman beams using atoms, a procedure is developed to operate the interferometer in an improved condition, which is able to enhance the fringe contrast by a factor of 3. This procedure improves the shot-to-shot sensitivity of the interferometer below 5 um/s^2. In addition, the atom interferometer is compared with a classical state-of-the-art accelerometer.
Atom interferometers have been used to measure accelerations and rotations in many laboratories around the world. They have demonstrated very high long-term stability, making them well suited for development into an inertial navigation system. The next stage of development towards a full navigation system is to move these laboratory demonstrators into the field, and improve their resilience to the effects of a more turbulent environment. This thesis presents the development of the first transportable quantum inertial sensor at the Centre for Cold Matter at Imperial College London, developing on the laboratory-based systems which have already been demonstrated. Rubidium-87 atoms are delivered into an ultra-high vacuum chamber with a 2D+ magneto optical trap (MOT), before being trapped in a 3D MOT and cooled to below 5 µK using polarisation gradient cooling. Atoms are efficiently prepared in a magnetically insensitive energy level, before a narrow velocity class of atoms is selected, to reduce the effect of thermal dephasing mechanisms. A three pulse, π/2−π−π/2, interferometer sequence coherently splits, reverses and recombines the atom cloud, and the atomic energy level populations are recorded after the third pulse using fluorescence imaging. Interference fringes have been demonstrated for a number of different interferometer times in the laboratory, and initial characterisation of the fringe contrast has been performed. In addition to in-laboratory characterisation, data from three field trials, alongside the Royal Navy, are presented. The trials have enabled us to benchmark the system’s performance outside of the laboratory, and highlight the areas of development required for improved system performance in future field trials.
Matter-wave interferometry has enabled high precision measurements of inertial forces such as gravity and the Coriolis force. This is facilitated by the long-term stability of the physical properties of atoms and lasers. Recent experiments have demonstrated the operation of portable, robust sensors using atom interferometry. This has potential uses in the context of inertial navigation, where conventional devices suffer from long-term drifts due to bias instability. Furthermore, determining position via dead reckoning requires minimisation of dead time between measurements. This thesis presents the development of an atom interferometer for measuring horizontal accelerations. In this configuration, gravity induces motion across the laser wavefront, which constrains the tolerable level of wavefront distortions. Effective control of the experiment allows the interferometer to be operated at a rate of 4 Hz. A cold ensemble of 10^6 atoms in the same internal state is prepared in 150 ms. The interferometer operates using a sequence of three laser pulses separated by T= 25 ms to achieve sensitivity to horizontal accelerations. Combining this with a classical accelerometer provides a method of correcting for vibration-induced noise, as well as determining the interferometer fringe order. After an integration time of 40 s, the sensitivity to horizontal accelerations is better than 3^-6 m s^-2. Effects which limit this sensitivity are discussed.
This thesis investigates the operation of atom interferometers in dynamic inertial conditions. As such, the cross-coupling effect of an accelerating sensor head on the output of an interferometer has been simulated, showing a contrast drop to 59% for T = 80 ms and 49% for T = 40 ms if the centre-of-mass of the atoms is within the waist radius of the Raman laser beam. Two ways to combat dynamic conditions are presented. Firstly, a model that is able to simulate phase shear fringes using fluorescence coupled with camera imaging is presented, helping to pave way towards extracting contrast and interferometer phase in one experimental shot. Secondly, a preliminary investigation of multi-modal measurements of gravity, magnetic field and magnetic field gradient is presented. Atom shot noise uncertainties for a T = 50 ms interferometer with 106 atoms are estimated as 3 × 10−8 ms−2 per shot for gravity and 4 × 10−6 Gm−1 per shot for magnetic field gradient. Experimentally, gravity gradiometer based on atom interferometry has been built. It is capable of producing over 108 atoms in the MOT, with cloud temperatures of 7.3 ± 0.2 μK for the top chamber and 7.4 ± 1.7 μK for the bottom chamber following molasses and state preparation. Interferometry is demonstrated, able to obtain short T gravity fringes without vibration isolation platform. Implementation steps required for phase shear readout are investigated, implementing a beam tilting Raman telescope, camera imaging and building an analysis technique using principal component analysis. The system is integrated with a classical accelerometer and tiltmeter (as well as a linear rail) and is able to obtain Rabi oscillations while moving.
Developments in the precise control of quantum systems have led to advances in both fundamental research and emerging technologies in areas including quantum sensing and computation. One particularly useful application is atom interferometry, which uses laser pulses to split, redirect, and recombine atomic wavepackets, enabling precision measurements of inertial effects. This thesis presents the construction and characterisation of a compact cold atom interferometer, to meet the longer-term aim of developing an atomic gyroscope. We detail the setup of a rubidium-85 Magneto-Optical Trap (MOT) and the development of a laser to perform Raman transitions across the hyperfine Rb-85 levels. We then demonstrate and characterise the coherent manipulation of the atomic state of the rubidium as well as atom-interferometric fringes, in a Doppler-insensitive configuration. Systematic errors can degrade the performance of laser pulse interactions with cold atoms by reducing the fidelity of the atom–light interactions. In this thesis, we investigate the implementation of composite pulses and optimal control pulses, which use pulses with varying phase sequences and durations to mitigate against experimental inhomogeneities. We also show that phase modulators can introduce distortions in both the applied laser phase and the Raman modulation amplitude, which can in turn degrade pulse performance. To address this, we develop a compensation protocol that corrects for these non-linearities and demonstrate that it leads to a further improvement in pulse fidelity, for the Waltz and Knill composite pulses. Applying this protocol to the rotary echo sequence led to Rabi oscillations that could last 4 times longer, compared to the uncalibrated IQ modulator. Although an optimal control inversion pulse showed more resilience to the IQ modulator distortions, the Mach-Zehnder interferometer sequence was more susceptible to them. It was demonstrated that compensating for IQ modulator non-linearities improved the optimised fringe signal-to-noise ratio, and reduced the phase-offset error by a factor of 2.4.
Inertial sensors based on cold atom interferometry exhibit many interesting features for applications related to inertial navigation, particularly in terms of sensitivity and long-term stability. However, at present the typical atom interferometer is still very much an experiment—consisting of a bulky, static apparatus with a limited dynamic range and high sensitivity to environmental effects. To be compliant with mobile applications further development is needed. In this work, we present a compact and mobile experiment, which we recently used to achieve the first inertial measurements with an atomic accelerometer onboard an aircraft. By integrating classical inertial sensors into our apparatus, we are able to operate the atomic sensor well beyond its standard operating range, corresponding to half of an interference fringe. We report atom-based acceleration measurements along both the horizontal and vertical axes of the aircraft with one-shot sensitivities of 2.3 × 10−4 g over a range of ∼ 0.1 g. The same technology can be used to develop cold-atom gyroscopes, which could surpass the best optical gyroscopes in terms of long-term sensitivity. Our apparatus was also designed to study multi-axis atom interferometry with the goal of realizing a full inertial measurement unit comprised of the three axes of acceleration and rotation. Finally, we present a compact and tunable laser system, which constitutes an essential part of any cold-atom-based sensor. The architecture of the laser is based on phase modulating a single fiber-optic laser diode, and can be tuned over a range of 1 GHz in less than 200 μs.
Atom interferometers depend on light/matter interactions and are extremely sensitive sensors capable of being employed as accelerometers, rotation sensors, and gravity and magnetic gradiometers. Typical interferometers use a well-known velocity (generally from atoms launched out of an atomic trap) to interferometrically measure quantities of interest (e.g., acceleration and rotation). This thesis evaluates the effects of atom velocity in an atom interferometer sensor that exists at NPS, which uses a continuous beam of cold rubidium atoms with a narrow but not monochromatic range of velocities passing through continuous laser fields. The atom’s velocity dictates the interaction time between the atom and laser. However, this combination results in pulse errors due to velocity averaging. One method to counteract these pulse errors uses the so-called counterintuitive laser arrangement—a method known as stimulated Raman adiabatic passage (STIRAP). STIRAP will be shown to be a more robust approach. Starting with the atoms in one of the ground states, all or a portion of the atoms can be transferred to the other ground state in a well-controlled manner. Changes in acceleration and rotation can be sensed with very high precision by a detection laser resulting in applicability as a highly sensitive accelerometer or gyroscope. This project explores experimentally and theoretically the utility of counterintuitive pulse sequences for atom interferometry applications.