Gaussian Quantum Fluctuations in Interacting Many Particle Systems |
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| Authors: | Hartmann Michael mahler Günter Hess Ortwin |
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| Affiliation: | (1) Institute of Thechnical Physics, DLR Stuttgart and Institute of Theoretical Physics I, University of Stuttgart, Germany;(2) Institute of Theoretical Physics I, University of Stuttgart, Germany;(3) Advanced Technology Institute, University of Surrey, United Kingdom |
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| Abstract: | We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state becomes a Gaussian normal distribution in the limit of infinite number of particles. We indicate some possible applications. |
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| Keywords: | quantum central limit theorem quantum many-body systems quantum fluctuations |
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