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American Journal of Physics

Quantum interference experiments with large molecules

Olaf Nairz, Markus Arndt, Anton Zeilinger

Published Mar 11, 2003• 253 citations
Publisher

Abstract

Wave–particle duality is frequently the first topic students encounter in elementary quantum physics. Although this phenomenon has been demonstrated with photons, electrons, neutrons, and atoms, the dual quantum character of the famous double-slit experiment can be best explained with the largest and most classical objects, which are currently the fullerene molecules. The soccer-ball-shaped carbon cages C60 are large, massive, and appealing objects for which it is clear that they must behave like particles under ordinary circumstances. We present the results of a multislit diffraction experiment with such objects to demonstrate their wave nature. The experiment serves as the basis for a discussion of several quantum concepts such as coherence, randomness, complementarity, and wave–particle duality. In particular, the effect of longitudinal (spectral) coherence can be demonstrated by a direct comparison of interferograms obtained with a thermal beam and a velocity selected beam in close analogy to the usual two-slit experiments using light.

DOI
10.1119/1.1531580

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Wave–particle duality is frequently the first topic students encounter in elementary quantum physics. Although this phenomenon has been demonstrated with photons, electrons, neutrons, and atoms, the dual quantum character of the famous double-slit experiment can be best explained with the largest and most classical objects, which are currently the fullerene molecules. The soccer-ball-shaped carbon cages C60 are large, massive, and appealing objects for which it is clear that they must behave like particles under ordinary circumstances. We present the results of a multislit diffraction experiment with such objects to demonstrate their wave nature. The experiment serves as the basis for a discussion of several quantum concepts such as coherence, randomness, complementarity, and wave–particle duality. In particular, the effect of longitudinal (spectral) coherence can be demonstrated by a direct comparison of interferograms obtained with a thermal beam and a velocity selected beam in close analogy to the usual two-slit experiments using light.
The interference pattern formed when a beam of electrons passes through a double slit is clear evidence that electrons can behave as both waves and particles. This wave-particle duality lies at the heart of quantum mechanics, but physicists remain intrigued by the boundary between the quantum and classical worlds. Neutrons, atoms and small molecules have all shown quantum-interference effects. Now Markus Arndt and co-workers at the University of Vienna have observed the wave-like behaviour of carbon-60 molecules. The "bucky-ball" molecules are at least an order of magnitude more massive than any other object where wave properties have been observed (Nature 1999 401 680).
Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.
Abstract Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for “wave–particle duality” and in an extension of this duality even as support for “complementarity”. We first give an outline of the historical development of these notions. Already here it becomes evident that they are hard to define rigorously, i.e. have mainly a heuristic function. Then we discuss recent interference experiments of large and complex molecules which seem to support this heuristic function of “duality”. However, we show that in these experiments the diffraction of a delocalized center-of-mass wave function depends on the interaction of the localized structure of the molecule with the diffraction element. Thus, the molecules display “dual features” at the same time, which contradicts the usual understanding of wave–particle duality. We conclude that the notion of “wave–particle duality” deserves no place in modern quantum physics.
The 1999 experiment reported by Markus Arndt, Olaf Nairz, Julian Vos-Andreae, Claudia Keller, Gerbrand van der Zouw, and Anton Zeilinger in Nature demonstrated de Broglie matter-wave interference for C60 fullerene molecules, extending experimen- tally observable quantum coherence to an object of unprecedented mass and internal complexity at the time (Arndt et al. 1999). This article develops a complete critical– propositional analysis of that experiment in systematic dialogue with the Theory of Objectivity (TO), as developed by Vidamor Cabannas and Denivaldo Silva. The analysis distinguishes three epistemological levels that must not be conflated: the experimentally established phenomenon of molecular interference; the physical interpretation supplied by quantum mechanics and decoherence theory; and the modal- ontological claims of the TO. This distinction is essential because empirical compatibility with a modal ontology is not equivalent to demonstration of modal necessity. The C60 experiment is especially relevant to the TO in four domains. First, a complex composed object behaves as a coherent quantum unit at the level of its center- of-mass propagation, providing a meaningful point of dialogue with the compositional structure associated with Absolute Truth 6 (VA6). Second, the diffraction grating is not merely a passive geometrical boundary: molecule–surface interactions modify the effective slit width, generating an empirically measurable interface between geometry and dynamics and providing a strong operational bridge to Absolute Truth 4 (VA4). Third, the preservation or destruction of interference depends on correlations between the molecule and its environment, thereby connecting physical distinguishability, infor- mation, and radiation. This creates the most significant point of contact with Absolute Truth 7 (VA7), under which the TO identifies its transcendent element with knowledge or information produced in atomic relations and regards such information as equivalent to atomic radiation. Fourth, the experiment offers possible operational analogues for the TO’s Inducing Effects, although these analogues must not be treated as established identities without independent derivation. The article also examines possible relations to VA1–VA7, the TO phenomenic elements, the Cosmogonic Theorem, and the cosmological Eras. It argues that the C60 experiment provides selective and indirect empirical corroboration for operational projections compatible with VA4, VA6, and VA7, but does not constitute confirmation of the TO as a complete ontology. Later experiments on thermal decoherence strengthen the radiation–information bridge by showing that photon emission can reduce molecular interference when it becomes capable of encoding spatial information (Hackermüller et al. 2004). In dialogue with Heisenberg, Einstein, Bohm, Joos and Zeh, Zurek, Aspect, Planck, LIGO/Virgo, JWST observations, and Petina’s taxonomy of fundamental laws, the paper proposes a research program capable of converting qualitative TO correspondences into quantitative and potentially discriminatory predictions. The central methodological conclusion is that the scientific strength of the TO will not depend on retrospectively redescribing established quantum phenomena in its own vocabulary, but on deriving from its modal architecture measurable relations that either reproduce quantum theory from more fundamental principles or predict deviations in controlled regimes. Keywords: Theory of Objectivity; C60; fullerene; matter waves; wave–particle duality; quantum interference; decoherence; information; boundaries; radiation; modal ontology; empirical corroboration.
Young’s double-slit experiment played a crucial role in establishing the wave nature of light. In this chapter, the shocking result that incident electrons yield a similar interference pattern as that formed by light waves is described. It is shown that the only way the experimental results could be explained is via a wave function description of electrons. It is also shown that, in the same experiment, the interference fringes disappear if the which-path information becomes available. This is the essence of wave–particle duality. The first of the Einstein–Bohr debates on wave-particle duality and Bohr’s principle of complementarity in the double-slit experiment is also discussed. Also presented are the counterintuitive notions of delayed choice and quantum eraser effects showing how the availability or erasure of information generated in the future can affect how the data in the present can be interpreted.
The wave-particle duality of massive objects is a cornerstone of quantum physics and a key property of many modern tools such as electron microscopy, neutron diffraction or atom interferometry. Here we report on the first experimental demonstration of quantum interference lithography with complex molecules. Molecular matter-wave interference patterns are deposited onto a reconstructed Si(111) 7x7 surface and imaged using scanning tunneling microscopy. Thereby both the particle and the quantum wave character of the molecules can be visualized in one and the same image. This new approach to nanolithography therefore also represents a sensitive new detection scheme for quantum interference experiments.