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Matter Waves : from quantum simulators to tests of general relativity

Philippe Bouyer

Published Jul 12, 2010• 0 citations
Publisher

Abstract

All objects in the universe simultaneously present microscopic properties of waves and particles. This basic concept of quantum mechanics is at the origin of matter wave optics and interferometry, where beams of atoms can diffract and interfere. There is even today coherent sources (laser) with atoms. These tools enable us to develop devices that simulate the phenomena of electronic conduction in semiconductors, or build highly sensitive instruments that could, for example, test the laws of universal gravitation. The lecture will present recent scientific progress obtained with these tools towards these directions.

DOI
10.1051/iesc/2010mpcm01014/pdf

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All objects in the universe simultaneously present microscopic properties of waves and particles. This basic concept of quantum mechanics is at the origin of matter wave optics and interferometry, where beams of atoms can diffract and interfere. There is even today coherent sources (laser) with atoms. These tools enable us to develop devices that simulate the phenomena of electronic conduction in semiconductors, or build highly sensitive instruments that could, for example, test the laws of universal gravitation. The lecture will present recent scientific progress obtained with these tools towards these directions.
Cooled close to absolute zero, atoms move at velocities of or below a few centimetres per second and no longer behave as particles, but as de Broglie waves whose propagation can lead to interference phenomena. This presentation will describe how to observe matter-wave interferences, to reproduce, for example, phenomena found in the propagation of electrons in semiconductors. It will also introduce how to use the interferences to build highly accurate measuring devices and use them for guidance and navigation, or perform accurate test of fundamental physics.
The Optics and Interferometry with Atoms symposium provided an opportunity for a general audience to learn about develop ments of this new field.The goal of atom optics is to do with atoms what usual optics does with photons, e.g., reflection, refraction, focusing, interference.Two techniques have been used up to now in order to act on atomic trajectories: interaction with quasiresonant laser light and interaction with diffracting fabricated microstructures.In his introduction, J. Mlynek (Constance) explained that several basic elements of atom optics have already been demonstrated (mirrors, lenses, beam splitters, interferome ters) but many improvements are still expec ted.He also anticipated exciting applications.For instance, atomic microprobes will use particles much less energetic that electronic microscopes (meV instead of KeV) and ato mic interferometers will permit highly sensi tive measurements of gravitational or Inertial effects, both for detection purposes and for fundamental tests of relativity.An example of an atomic interferometer, based on a idea by C. Borde using Ramsey fringes, was described F. Riehle (PTB, Braunschweig).Sensitivity to rotations has been demonstrated, light-shifts measured, and a new experiment based on cold, trap ped atoms instead of an atomic beam is in progress.J. Robert (Paris-Nord) reviewed the basic principles of Stern-Gerlach inter ferometry for application to the so-called "scalar Bohm-Aharonov effect"; a new scheme involving four interaction zones should yield new results.Finally J. Dalibard (Paris) described the atomic cavity based on a concave mirror for bouncing atoms (Fig. 1).It opens the path to the observation of multiple atomic multiple interferences, i.e., observing the modes of an atomic cavity.The ultimate goal would be to accumulate many bosonic atoms in the same mode to realise the atomic equivalent of a laser mode filled with many photons.
Our ability to manipulate the coherence properties of light has been at the heart of many of the most important scientific and technological innovations of this century. There can hardly be a home in this country that does not possess a laser in the form of a compact disc player or a CDROM. When we talk on the phone, or send messages on the Internet, there is a high probability that our message will be encoded by a laser into pulses of light to be passed through optical fibres. In the last few years physicists have been discovering that it is possible to control the coherence properties of atoms, and are now developing tools analogous to those which have been developed to take advantage of the coherence properties of light. In the next decade we can look forward to seeing the application of lasers, fibres, mirrors and waveguides for atoms. Already we have been able to construct interferometry experiments using beams of atoms and these have proved to be extremely sensitive measurement devices, allowing us to test physical theories and measure fundamental constants to a level of precision not previously possible. Will these developing technologies ever be as ubiquitous as their optical forebears? In this paper we discuss the anticipated uses of this technology for both fundamental science and industrial applications. Starting from an explanation of the meaning of coherence and a comparison of the properties of photons and atoms, we describe the development of the science of atom optics. The tortuous route towards the great achievement of producing a Bose–Einstein condensate is described, and we explain why this is the most important step towards a laser–like source of atoms. Numerous other optical elements for atoms have been built or are on the drawing board, and we describe how these may be used to manipulate atoms with a precision that has never before been achieved, and look ahead to what we can learn about physics using these tools and at how they can be put to practical use.
The wave properties of matter in quantum mechanics first postulated by de Broglie in 1923 as well as Einstein’s theory of general relativity have radically changed our perception of the world at the beginning of the twentieth century. While each theory is extremely successful and well tested within its range of validity, a unification of both theories has so far resisted any attempt. However, the advances in precision of modern matter-wave interferometers have paved the way to designing experiments at the interface of gravity and quantum mechanics. Indeed, quantum mechanical devices are on the brink of becoming sensitive enough to challenge predictions of general relativity such as the weak equivalence principle or set bounds on alternative gravitational theories. Reaching sensitivities required for these experiments necessitates a careful assessment of deleterious effects some of which might be atom-atom interactions or the influence of the gravitational potential of the laboratory setup itself. Estimation of the size of such effects calls for refined theoretical tools for the description of light-pulse atom interferometry which is the subject of the present thesis.
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.