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Periodic mean-field solutions and the spectra of discrete bosonic fields: Trace formula for Bose-Hubbard models

URN to cite this document:
urn:nbn:de:bvb:355-epub-330261
Engl, Thomas ; Urbina, Juan Diego ; Richter, Klaus
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arXiv PDF (19.11.15)
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arXiv PDF (08.09.2015)
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Date of publication of this fulltext: 14 Dec 2015 13:05



Abstract

We consider the many-body spectra of interacting bosonic quantum fields on a lattice in the semiclassical limit of large particle number N. We show that the many-body density of states can be expressed as a coherent sum over oscillating long-wavelength contributions given by periodic, nonperturbative solutions of the, typically nonlinear, wave equation of the classical (mean-field) limit. To this ...

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