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Spectral statistics of chaotic many-body systems

URN to cite this document:
urn:nbn:de:bvb:355-epub-371621
DOI to cite this document:
10.5283/epub.37162
Dubertrand, Rémy ; Müller, Sebastian
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License: Creative Commons: Attribution 3.0
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Date of publication of this fulltext: 23 Apr 2018 12:47


Abstract

Wederive a trace formula that expresses the level density of chaotic many-body systems as a smooth term plus a sum over contributions associated to solutions of the nonlinear Schrödinger (or Gross– Pitaevski) equation. Our formula applies to bosonic systems with discretised positions, such as the Bose–Hubbard model, in the semiclassical limit as well as in the limit where the number of particles ...

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