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Springer eBooks

Coherence and Decoherence Experiments with Fullerenes

Markus Arndt, Lucia Hackermüller, Klaus Hornberger, Anton Zeilinger

Published Dec 13, 2005• 5 citations
Publisher
DOI
10.1007/1-4020-3283-8_23

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Coherence and decoherence in de Broglie interference of fullerenes

Markus Arndt, Olaf Nairz, J. Petschinka +4 more

Summary form only given, as follows. In a recent experiment we were able to demonstrate the de Broglie wave character of the fullerene molecule C/sub 60/ by diffraction at a free standing material grating. This proves that it is possible to preserve quantum coherence almost completely in the external degrees of freedom of a hot, massive and complex object over a long time and distance. This may seem astonishing in the light of the fact that the fullerenes were produced in a thermal source which was kept at about 900 K. At such a high temperature the de Broglie wavelength is about 400 times smaller than the size of the molecule (/spl lambda//sub dB//spl sim/25 pm), all internal degrees of freedom (174 different vibrational modes, and rotational modes up to J>100) are excited and the molecules may emit a few infrared photons (blackbody radiation and vibrational quanta) during their time of flight through the apparatus. Our published measurements so far have been essentially consistent with the absence of decoherence during the time of flight of the molecules. The interference contrast in all experiments has however so far been limited by the thermal velocity spread and the finite collimation of the fullerene beam.

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A coherent superposition of two Gaussian wavepackets, which freely evolves in time, gives rise to an interference pattern similar to that of the single-particle double-slit Young's experiment. In this paper we show that fringe visibility can be reduced by spontaneous decoherence, which can also destroy quantum coherence when interaction between a system and its surroundings can be neglected. This decoherence is due to fluctuations in the evolution time and, in general, cannot be achieved when simple classical averages are considered. We compare our theoretical results with a C 60 fullerenes interference experiment, where thermal decoherence is not relevant, but the fringe visibility is actually reduced.

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A double-slit experiment is analysed when the interfering particle has an internal structure and one endeavours to obtain ‘which path’ information by detecting the light that is spontaneously emitted. A compact expression is derived for the visibility of the interference pattern: coherence depends on both the spatial and temporal features of the emission process during the travel of the particle to the screen. A bound is set on the temperature of a fullerene molecule in a double-slit experiment in order that its quantum mechanical coherence be maintained.

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Decoherence in nanostructures and quantum systems

Robert F. O’Connell

arXiv:cond-mat/0311320•Physica E Low-dimensional Systems and Nanostructures•Jun 30, 2003•4 citations
Summary form only given, as follows. In a recent experiment we were able to demonstrate the de Broglie wave character of the fullerene molecule C/sub 60/ by diffraction at a free standing material grating. This proves that it is possible to preserve quantum coherence almost completely in the external degrees of freedom of a hot, massive and complex object over a long time and distance. This may seem astonishing in the light of the fact that the fullerenes were produced in a thermal source which was kept at about 900 K. At such a high temperature the de Broglie wavelength is about 400 times smaller than the size of the molecule (/spl lambda//sub dB//spl sim/25 pm), all internal degrees of freedom (174 different vibrational modes, and rotational modes up to J>100) are excited and the molecules may emit a few infrared photons (blackbody radiation and vibrational quanta) during their time of flight through the apparatus. Our published measurements so far have been essentially consistent with the absence of decoherence during the time of flight of the molecules. The interference contrast in all experiments has however so far been limited by the thermal velocity spread and the finite collimation of the fullerene beam.
A coherent superposition of two Gaussian wavepackets, which freely evolves in time, gives rise to an interference pattern similar to that of the single-particle double-slit Young's experiment. In this paper we show that fringe visibility can be reduced by spontaneous decoherence, which can also destroy quantum coherence when interaction between a system and its surroundings can be neglected. This decoherence is due to fluctuations in the evolution time and, in general, cannot be achieved when simple classical averages are considered. We compare our theoretical results with a C 60 fullerenes interference experiment, where thermal decoherence is not relevant, but the fringe visibility is actually reduced.
A double-slit experiment is analysed when the interfering particle has an internal structure and one endeavours to obtain ‘which path’ information by detecting the light that is spontaneously emitted. A compact expression is derived for the visibility of the interference pattern: coherence depends on both the spatial and temporal features of the emission process during the travel of the particle to the screen. A bound is set on the temperature of a fullerene molecule in a double-slit experiment in order that its quantum mechanical coherence be maintained.