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arXiv · 1702.03617

Solving the quantum many-body problem via correlations measured with a momentum microscope

Sean. S. Hodgman·Roman. I. Khakimov·Robert. J. Lewis-Swan·Andrew. G. Truscott·Karen. V. Kheruntsyan
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Abstract

In quantum many-body theory, all physical observables are described in terms of correlation functions between particle creation/annihilation operators. Measurement of such correlation functions can therefore be regarded as an operational solution to the quantum many-body problem. Here we demonstrate this paradigm by measuring multi-particle momentum correlations up to third order between ultracold helium atoms in an s-wave scattering halo of colliding Bose-Einstein condensates, using a quantum many-body momentum microscope. Our measurements allow us to extract a key building block of all higher-order correlations in this system|the pairing field amplitude. In addition, we demonstrate a record violation of the classical Cauchy-Schwarz inequality for correlated atom pairs and triples. Measuring multi-particle momentum correlations could provide new insights into effects such as unconventional superconductivity and many-body localisation.

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Sean. S. Hodgman, Roman. I. Khakimov, Robert. J. Lewis-Swan, Andrew. G. Truscott, Karen. V. Kheruntsyan. 2017-06-27. Solving the quantum many-body problem via correlations measured with a momentum microscope. https://doi.org/10.1103/physrevlett.118.240402

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