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Matter wave interferometry: from concepts to applications (Orale)

Philippe Bouyer

Published May 5, 2014• 0 citations
OpenAlex

Abstract

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.

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Electron interferometry: Interferences between two electrons and a precision method of measuring decoherence

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General introduction

J. Weiner

In the 1980s the first successful experiments [312] and theory [98], demonstrating that light could be used to cool and confine atoms to submillikelvin temperatures, opened several exciting new chapters in atomic, molecular, and optical (AMO) physics. Atom interferometry [6, 8], matter–wave holography [294], optical lattices [192], and Bose–Einstein condensation in dilute gases [18, 95] all exemplified significant new physics where collisions between atoms cooled with light play a pivotal role. The nature of these collisions has become the subject of intensive study not only because of their importance to these new areas of AMO physics but also because their investigation has led to new insights into how cold collision spectroscopy can lead to precision measurements of atomic and molecular parameters and how radiation fields can manipulate the outcome of a collision itself. As a general orientation Fig. 1.1 shows how a typical atomic de Broglie wavelength varies with temperature and where various physical phenomena situate along the scale. With de Broglie wavelengths on the order of a few thousandths of a nanometer, conventional gas-phase chemistry can usually be interpreted as the interaction of classical nuclear point particles moving along potential surfaces defined by their associated electronic charge distribution. At one time liquid helium was thought to define a regime of cryogenic physics, but it is clear from Fig. 1.1 that optical and evaporative cooling have created “cryogenic” environments below liquid helium by many orders of magnitude.

Cambridge University Press eBooks•Dec 4, 2003•1 citation
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.
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.
Atom de Broglie wave interferometry has emerged as a tool capable of addressing a diverse set of questions in gravitational and condensed matter physics, and as an enabling technology for advanced sensors in geodesy and navigation. This talk will review basic principles, then discuss recent applications and future directions. Scientific applications to be discussed include measurement of G (Newton’s constant), tests of the Equivalence Principle and post-Newtonian gravity, and study of the Kosterlitz-Thouless phase transition in layered superfluids. Technology applications include development of precision gryoscopes and gravity gradiometers. The talk will conclude with speculative remarks looking to the future: Can atom interference methods be sued to detect gravity waves? Can non-classical (entangled/squeezed state) atom sources lead to meaningful sensor performance improvements?
Abstract The possibility of interferometry with atoms follows directly from wave particle duality. The wave-like propagation of particles, such as atoms, means that they undergo interference and diffraction in an analogous way to light. This chapter explains how such matter waves have been used in interferometers that measure rotation and gravitational acceler ation to a precision comparable with the best optical instruments. As in many important developments in physics, atom interferometry relies on simple principles-the first part of this chapter uses only elementary optics and the de Broglie relation.
Although interferometry's earliest and most familiar use is with photons, the discovery of matter-wave (deBroglie-wave) interference for electrons demanded the development of quantum mechanics. Since then, matter-wave interferometry has been performed with neutrons, Cooper electron-pairs, and most recently, with whole atoms and diatomic molecules. This talk describes our recent high-flux atom interferometry experiments using the generalized Talbot-vonLau effect. Our interferometer consists of a sequence of three planar vacuum-slit diffraction gratings, microfabricated from silicon nitride membranes. DeBroglie-wave interference fringes are sensed by measuring the transmission of potassium atoms on a hot- wire as a function of grating relative position. Different spatial Fourier components (up to sixth) in the diffraction pattern are resonant in the interferometer at different atomic velocities (i.e., at different wavelengths). When a laser cooled slow atomic beam is incident, various different diffraction patterns are observed as a function of atomic velocity. In an alternative `Heisenberg Microscope' configuration an incident thermal beam produces a velocity average over different fringe Fourier components. AC modulated weak laser light passing through the interferometer interacts selectively with atoms at a specific velocity. The associated fringe pattern is then ac modulated and revealed by its selective destruction.
Louis de Broglie's discovery of the wave nature of matter 80 years ago and the subsequent development of quantum mechanics by Erwin Schrodinger, Werner Heisenberg and Paul Dirac solved many riddles of those days and determined physics of the whole 20th century. Yet, after this long time, matter wave interferometry is as up to date as it was in 1927 when Louis de Broglie's hypothesis was verified, e.g., by Davisson and Germer. Atom interferometry, ion interferometry and Bose-Einstein condensates are today's fascinating applications based on de Broglie's discovery. The focus of the present contribution are Hanbury Brown-Twiss anti-correlations (i.e. interferences between two fermions (electrons)) and the quantitative observation of decoherence by electron biprism interferometry.
In the 1980s the first successful experiments [312] and theory [98], demonstrating that light could be used to cool and confine atoms to submillikelvin temperatures, opened several exciting new chapters in atomic, molecular, and optical (AMO) physics. Atom interferometry [6, 8], matter–wave holography [294], optical lattices [192], and Bose–Einstein condensation in dilute gases [18, 95] all exemplified significant new physics where collisions between atoms cooled with light play a pivotal role. The nature of these collisions has become the subject of intensive study not only because of their importance to these new areas of AMO physics but also because their investigation has led to new insights into how cold collision spectroscopy can lead to precision measurements of atomic and molecular parameters and how radiation fields can manipulate the outcome of a collision itself. As a general orientation Fig. 1.1 shows how a typical atomic de Broglie wavelength varies with temperature and where various physical phenomena situate along the scale. With de Broglie wavelengths on the order of a few thousandths of a nanometer, conventional gas-phase chemistry can usually be interpreted as the interaction of classical nuclear point particles moving along potential surfaces defined by their associated electronic charge distribution. At one time liquid helium was thought to define a regime of cryogenic physics, but it is clear from Fig. 1.1 that optical and evaporative cooling have created “cryogenic” environments below liquid helium by many orders of magnitude.