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Matter wave interferometry for inertial sensing and tests of fundamental physics

Schlippert, Dennis, Albers, Henning, Braxmaier, Claus, Guzman, Felipe, Kumanchik, Lee, Meiners, Christian, Rajagopalan, Ashwin, Rengelink, Robert, Richardson, L. L., Schubert, Christian, Dorothee Tell, Wodey, Étienne, Ertmer, Wolfgang, Ernst Maria Rasel

Published Mar 14, 2019• 26 citations
OpenAlex

Abstract

We report on recent developments concerning the commissioning of the Very Long Baseline Atom Interferometry test stand. Stretching over 15 m, the facility with its high-performance magnetic shield, Rb-Yb atom sources, and a low-frequency seismic attenuation system, will allow us to take on the competition with the stability of superconducting gravimeters with absolute measurements. By operating in a differential mode, we anticipate tests of the Universality of Free Fall at levels of parts in 10^(13) and below. We will furthermore report on matter wave sensors enhanced with opto-mechanical resonators as well as fully guided interferometry and discuss the potential of such systems in inertial sensing and fundamental physics. \n \nThis work is supported by CRC 1128 geo-Q, CRC 1227 DQ-mat, the German Space Agency (DLR) through the Federal Ministry for Economic Affairs and Energy (BMWi) (Grant No. 50WM1641), the Federal Ministry of Education and Research (BMBF) through Photonics Research Germany (Grant No. 13N14875), and QUANOMET.

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Very Long Baseline Atom Interferometry (VLBAI) corresponds to ground-based atomic matter-wave interferometry on large scales in space and time, letting the atomic wave functions interfere after free evolution times of several seconds or wave packet separation at the scale of meters. As inertial sensors, e.g., accelerometers, these devices take advantage of the quadratic scaling of the leading order phase shift with the free evolution time to enhance their sensitivity, giving rise to compelling experiments. With shot noise-limited instabilities better than $10^{-9}$ m/s$^2$ at 1 s at the horizon, VLBAI may compete with state-of-the-art superconducting gravimeters, while providing absolute instead of relative measurements. When operated with several atomic states, isotopes, or species simultaneously, tests of the universality of free fall at a level of parts in $10^{13}$ and beyond are in reach. Finally, the large spatial extent of the interferometer allows one to probe the limits of coherence at macroscopic scales as well as the interplay of quantum mechanics and gravity. We report on the status of the VLBAI facility, its key features, and future prospects in fundamental science.

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Gravity plays a central role in our understanding of the Earth and the Universe. It is the dominant force at astronomic scales, shaping star systems and galaxies. It is also a pivotal field in the geosciences, allowing access to the physical shape of the Earth, defining height systems, and tracking mass transport, for example water in climate change research, inside volcanoes, or along seismic faults. Finally, it could become a crucial resource for engineering, opening the way to a renewal of underground exploration techniques, both for natural resources and civil engineering legacy. In fundamental physics, gravity nevertheless remains a riddle. From its origins to the first direct detection of gravitational waves in 2015, the theory of general relativity has accumulated successes. Our understanding of the microscopic world, through quantum mechanics and the standard model of particle physics is a similar success story, culminating with the detection of the BEH boson in 2012. Nevertheless, unification theories remain inaccessible and testing both the hypotheses and predictions of our theories remains the safest way towards the discovery of new physics. Here, key research areas relate to tests of the universality of free fall, at the heart of general relativity theory, or the creation of macroscopic superposition states of massive particles, a genuine marker of the quantum world. Novel applications in the geosciences also require improved gravity sensors. For multiple applications in engineering and geodesy, the ideal device is easily transportable and has low energy consumption. Nevertheless, higher-order references are necessary to enable an accurate definition of a gravity standard across the world. Such gravity references could also be combined with state-of-the-art laser gyroscopes into quantum Earth observatories. In this manuscript, we introduce a new generation of matter wave sensors based on very long baseline atom interferometry (VLBAI). Exploring the properties of massive quantum objects at the scales of meters and seconds, they will provide new insights into fundamental physics questions and serve as testbeds for novel atomic inertial sensors on ground and in space. We provide the motivation and working principles for absolute gravity sensing with VLBAI, and discuss in particular the specific trade-offs arising from the use of an extended baseline in atom interferometry. We also present the core design of the Hannover VLBAI facility. Finally, we demonstrate that through a unique and carefully characterized 10 m-long magnetically shielded baseline, this devices offers the required environment for next-generation atomic gravity reference sensors and tests of fundamental physics.

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Matter-wave inertial sensing relies on the capability of manipulating the coherent wave nature of matter to build an interferometer and accurately measure a phase difference. Since the massive particle associated to the matter wave senses inertial effects, the interferometer represents an accurate inertial probe. Atom interferometers have benefited from the outstanding developments of laser-cooling techniques and reached accuracies comparable to those of inertial sensors based on optical interferometry. Thanks to their long term stability, they offer a breakthrough advance in accelerometry, gyroscopy and gravimetry, for applications to inertial guidance, geoid determinations, geophysics and metrology. They are also excellent candidates for laboratory-based tests of general relativity that could compete with the current tests using astronomical or macroscopic bodies. For example, they may provide new answers to the question of whether the free fall acceleration of a particle is universal, i.e. independent of its internal composition and quantum properties. We report here the first operation of an airborne quantum inertial sensor. We highlight their promising applications to inertial navigation and Earth observation. We also describe the improvement of the quantum sensor sensitivity in weightlessness, and discuss the possibility to conduct airborne or spaceborne tests of the Universality of Free Fall with quantum objects. We finally describe a matter-wave laser based interferometric gravitational antenna (MIGA). This infrastructure will allow for measuring with unprecedented resolution variations of the Earths gravity and of the strain of space-time allowing for enhancing the capabilities of existing and future gravitational wave detectors.

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Inertial sensors relying on atom interferometry offer a breakthrough advance in a variety of applications, such as inertial navigation, gravimetry or ground- and space-based tests of fundamental physics. These instruments require a quiet environment to reach their performance and using them outside the laboratory remains a challenge. Here we report the first operation of an airborne matter-wave accelerometer set up aboard a 0g plane and operating during the standard gravity (1g) and microgravity (0g) phases of the flight. At 1g, the sensor can detect inertial effects more than 300 times weaker than the typical acceleration fluctuations of the aircraft. We describe the improvement of the interferometer sensitivity in 0g, which reaches 2 x 10-4 ms-2 / √Hz with our current setup. We finally discuss the extension of our method to airborne and spaceborne tests of the Universality of free fall with matter waves. Inertial sensors using atom interferometry have applications in geophysics, navigation- and space-based tests of fundamental physics. Here, the first operation of an atom accelerometer during parabolic flights is reported, demonstrating high-resolution measurements at both 1g and 0g.

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Inertial sensors based on matter-wave interferometry are currently approaching the precision and accuracy of state-of-the-art classical sensors. While these devices are often realised with ultracold but not Bose-condensed atoms as matter waves, employing Bose-Einstein Condensates (BEC) promises to overcome certain limitations, especially those related to the ensemble's expansion. The point-source like character of BECs also enables utilising spatial interference patterns to measure e.g. rotation rates in single-shot experiments. Matter wave-based inertial sensors are considered for experiments ranging from Gravitational Wave detection to tests of the Universality of Free Fall (UFF) to gain insight into the joint between Quantum Mechanics and General Relativity. In the scope of this thesis, matter-wave interferometry with BECs was demonstrated for the first time in a microgravity environment with the QUANTUS-1 apparatus. The same instrument was then employed as a quantum tiltmeter utilising a novel beam-splitting mechanism known as Bragg Double Diffraction. To this end, the QUANTUS-1 apparatus designed as a BEC instrument to be operated in the drop tower at ZARM at University of Bremen was equipped with optics and laser systems required for performing matter-wave interferometry based on Bragg Diffraction. The apparatus employs an atom chip to create BECs of around 10000 Rubidium 87 atoms within 15 s. With a Mach-Zehnder like interferometer scheme, spatial interference fringes were observed after a free evolution time in the interferometer of up to 677 ms. To achieve these long time scales, a method known as Delta-Kick Collimation (DKC) was adapted to slow the expansion of the BEC to a kinetic energy equivalent below 1 nK, and the atoms were transferred to a non-magnetic Zeeman state via an adiabatic rapid passage (ARP). A similar interferometer scheme with a newly developed beam-splitter mechanism known as Bragg Double Diffraction was used to measure the tilt of the instrument on ground with a precision of up to 4.4 AA rad. This thesis presents an overview of the apparatus including ground-based characterisations of all required experimental steps. Results from over 400 free fall experiments are evaluated for expansion studies of the BEC and matter-wave interferometry in microgravity. The time-evolution of first and second order Bragg Double Diffraction beam splitters is studied, and an interferometer sensitive to the tilt of the instrument is implemented. Based on this work, a gravimeter with a new launch mechanism comprising Bragg beam splitters and Bloch oscillations to enable atomic fountains in atom-chip based devices was developed. The microgravity experiments were adapted for the MAIUS-1 sounding-rocket instrument to create the first man-made BEC in outer space and study the feasibility of operating matter-wave interferometers on space-borne platforms. The results of this thesis lay the groundwork for future space-borne missions using matter-wave interferometry for precision measurements of inertial forces.

•Jan 1, 2019•0 citations

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The remarkable success of atom coherent manipulation techniques has motivated competitive research and development in precision metrology. Matter-wave inertial sensors – accelerometers, gyrometers, gravimeters – based on these techniques are all at the forefront of their respective measurement classes. Atom inertial sensors provide nowadays about the best accelerometers and gravimeters and allow, for instance, to make the most precise monitoring of gravity or to device precise tests of the weak equivalence principle (WEP). I present here some recent advances in these fields.

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We report on recent developments concerning the commissioning of the Very Long Baseline Atom Interferometry test stand. Stretching over 15 m, the facility with its high-performance magnetic shield, Rb-Yb atom sources, and a low-frequency seismic attenuation system, will allow us to take on the competition with the stability of superconducting gravimeters with absolute measurements. By operating in a differential mode, we anticipate tests of the Universality of Free Fall at levels of parts in 10^(13) and below. We will furthermore report on matter wave sensors enhanced with opto-mechanical resonators as well as fully guided interferometry and discuss the potential of such systems in inertial sensing and fundamental physics. \n \nThis work is supported by CRC 1128 geo-Q, CRC 1227 DQ-mat, the German Space Agency (DLR) through the Federal Ministry for Economic Affairs and Energy (BMWi) (Grant No. 50WM1641), the Federal Ministry of Education and Research (BMBF) through Photonics Research Germany (Grant No. 13N14875), and QUANOMET.
Very Long Baseline Atom Interferometry (VLBAI) corresponds to ground-based atomic matter-wave interferometry on large scales in space and time, letting the atomic wave functions interfere after free evolution times of several seconds or wave packet separation at the scale of meters. As inertial sensors, e.g., accelerometers, these devices take advantage of the quadratic scaling of the leading order phase shift with the free evolution time to enhance their sensitivity, giving rise to compelling experiments. With shot noise-limited instabilities better than 10−910^{-9}10−9 m/s2^22 at 1 s at the horizon, VLBAI may compete with state-of-the-art superconducting gravimeters, while providing absolute instead of relative measurements. When operated with several atomic states, isotopes, or species simultaneously, tests of the universality of free fall at a level of parts in 101310^{13}1013 and beyond are in reach. Finally, the large spatial extent of the interferometer allows one to probe the limits of coherence at macroscopic scales as well as the interplay of quantum mechanics and gravity. We report on the status of the VLBAI facility, its key features, and future prospects in fundamental science.
Gravity plays a central role in our understanding of the Earth and the Universe. It is the dominant force at astronomic scales, shaping star systems and galaxies. It is also a pivotal field in the geosciences, allowing access to the physical shape of the Earth, defining height systems, and tracking mass transport, for example water in climate change research, inside volcanoes, or along seismic faults. Finally, it could become a crucial resource for engineering, opening the way to a renewal of underground exploration techniques, both for natural resources and civil engineering legacy. In fundamental physics, gravity nevertheless remains a riddle. From its origins to the first direct detection of gravitational waves in 2015, the theory of general relativity has accumulated successes. Our understanding of the microscopic world, through quantum mechanics and the standard model of particle physics is a similar success story, culminating with the detection of the BEH boson in 2012. Nevertheless, unification theories remain inaccessible and testing both the hypotheses and predictions of our theories remains the safest way towards the discovery of new physics. Here, key research areas relate to tests of the universality of free fall, at the heart of general relativity theory, or the creation of macroscopic superposition states of massive particles, a genuine marker of the quantum world. Novel applications in the geosciences also require improved gravity sensors. For multiple applications in engineering and geodesy, the ideal device is easily transportable and has low energy consumption. Nevertheless, higher-order references are necessary to enable an accurate definition of a gravity standard across the world. Such gravity references could also be combined with state-of-the-art laser gyroscopes into quantum Earth observatories. In this manuscript, we introduce a new generation of matter wave sensors based on very long baseline atom interferometry (VLBAI). Exploring the properties of massive quantum objects at the scales of meters and seconds, they will provide new insights into fundamental physics questions and serve as testbeds for novel atomic inertial sensors on ground and in space. We provide the motivation and working principles for absolute gravity sensing with VLBAI, and discuss in particular the specific trade-offs arising from the use of an extended baseline in atom interferometry. We also present the core design of the Hannover VLBAI facility. Finally, we demonstrate that through a unique and carefully characterized 10 m-long magnetically shielded baseline, this devices offers the required environment for next-generation atomic gravity reference sensors and tests of fundamental physics.
Matter-wave inertial sensing relies on the capability of manipulating the coherent wave nature of matter to build an interferometer and accurately measure a phase difference. Since the massive particle associated to the matter wave senses inertial effects, the interferometer represents an accurate inertial probe. Atom interferometers have benefited from the outstanding developments of laser-cooling techniques and reached accuracies comparable to those of inertial sensors based on optical interferometry. Thanks to their long term stability, they offer a breakthrough advance in accelerometry, gyroscopy and gravimetry, for applications to inertial guidance, geoid determinations, geophysics and metrology. They are also excellent candidates for laboratory-based tests of general relativity that could compete with the current tests using astronomical or macroscopic bodies. For example, they may provide new answers to the question of whether the free fall acceleration of a particle is universal, i.e. independent of its internal composition and quantum properties. We report here the first operation of an airborne quantum inertial sensor. We highlight their promising applications to inertial navigation and Earth observation. We also describe the improvement of the quantum sensor sensitivity in weightlessness, and discuss the possibility to conduct airborne or spaceborne tests of the Universality of Free Fall with quantum objects. We finally describe a matter-wave laser based interferometric gravitational antenna (MIGA). This infrastructure will allow for measuring with unprecedented resolution variations of the Earths gravity and of the strain of space-time allowing for enhancing the capabilities of existing and future gravitational wave detectors.
Inertial sensors relying on atom interferometry offer a breakthrough advance in a variety of applications, such as inertial navigation, gravimetry or ground- and space-based tests of fundamental physics. These instruments require a quiet environment to reach their performance and using them outside the laboratory remains a challenge. Here we report the first operation of an airborne matter-wave accelerometer set up aboard a 0g plane and operating during the standard gravity (1g) and microgravity (0g) phases of the flight. At 1g, the sensor can detect inertial effects more than 300 times weaker than the typical acceleration fluctuations of the aircraft. We describe the improvement of the interferometer sensitivity in 0g, which reaches 2 x 10-4 ms-2 / √Hz with our current setup. We finally discuss the extension of our method to airborne and spaceborne tests of the Universality of free fall with matter waves. Inertial sensors using atom interferometry have applications in geophysics, navigation- and space-based tests of fundamental physics. Here, the first operation of an atom accelerometer during parabolic flights is reported, demonstrating high-resolution measurements at both 1g and 0g.
Inertial sensors based on matter-wave interferometry are currently approaching the precision and accuracy of state-of-the-art classical sensors. While these devices are often realised with ultracold but not Bose-condensed atoms as matter waves, employing Bose-Einstein Condensates (BEC) promises to overcome certain limitations, especially those related to the ensemble's expansion. The point-source like character of BECs also enables utilising spatial interference patterns to measure e.g. rotation rates in single-shot experiments. Matter wave-based inertial sensors are considered for experiments ranging from Gravitational Wave detection to tests of the Universality of Free Fall (UFF) to gain insight into the joint between Quantum Mechanics and General Relativity. In the scope of this thesis, matter-wave interferometry with BECs was demonstrated for the first time in a microgravity environment with the QUANTUS-1 apparatus. The same instrument was then employed as a quantum tiltmeter utilising a novel beam-splitting mechanism known as Bragg Double Diffraction. To this end, the QUANTUS-1 apparatus designed as a BEC instrument to be operated in the drop tower at ZARM at University of Bremen was equipped with optics and laser systems required for performing matter-wave interferometry based on Bragg Diffraction. The apparatus employs an atom chip to create BECs of around 10000 Rubidium 87 atoms within 15 s. With a Mach-Zehnder like interferometer scheme, spatial interference fringes were observed after a free evolution time in the interferometer of up to 677 ms. To achieve these long time scales, a method known as Delta-Kick Collimation (DKC) was adapted to slow the expansion of the BEC to a kinetic energy equivalent below 1 nK, and the atoms were transferred to a non-magnetic Zeeman state via an adiabatic rapid passage (ARP). A similar interferometer scheme with a newly developed beam-splitter mechanism known as Bragg Double Diffraction was used to measure the tilt of the instrument on ground with a precision of up to 4.4 AA rad. This thesis presents an overview of the apparatus including ground-based characterisations of all required experimental steps. Results from over 400 free fall experiments are evaluated for expansion studies of the BEC and matter-wave interferometry in microgravity. The time-evolution of first and second order Bragg Double Diffraction beam splitters is studied, and an interferometer sensitive to the tilt of the instrument is implemented. Based on this work, a gravimeter with a new launch mechanism comprising Bragg beam splitters and Bloch oscillations to enable atomic fountains in atom-chip based devices was developed. The microgravity experiments were adapted for the MAIUS-1 sounding-rocket instrument to create the first man-made BEC in outer space and study the feasibility of operating matter-wave interferometers on space-borne platforms. The results of this thesis lay the groundwork for future space-borne missions using matter-wave interferometry for precision measurements of inertial forces.
The remarkable success of atom coherent manipulation techniques has motivated competitive research and development in precision metrology. Matter-wave inertial sensors – accelerometers, gyrometers, gravimeters – based on these techniques are all at the forefront of their respective measurement classes. Atom inertial sensors provide nowadays about the best accelerometers and gravimeters and allow, for instance, to make the most precise monitoring of gravity or to device precise tests of the weak equivalence principle (WEP). I present here some recent advances in these fields.