Engl, Thomas and Urbina, Juan Diego and Richter, Klaus (2015) Periodic mean-field solutions and the spectra of discrete bosonic fields: Trace formula for Bose-Hubbard models. PHYSICAL REVIEW E, 92 (6): 062907. ISSN 1539-3755, 1550-2376
Full text not available from this repository. (Request a copy)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 end, we construct the semiclassical approximation for both the smooth and oscillatory parts of the many-body density of states in terms of a trace formula starting from the exact path integral form of the propagator between many-body quadrature states. We therefore avoid the use of a complexified classical limit characteristic of the coherent state representation. While quantum effects such as vacuum fluctuations and gauge invariance are exactly accounted for, our semiclassical approach captures quantum interference and therefore is valid well beyond the Ehrenfest time where naive quantum-classical correspondence breaks down. Remarkably, due to a special feature of harmonic systems with incommensurable frequencies, our formulas are generically valid also in the free-field case of noninteracting bosons.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POTENTIALS; EXPANSION; STATES; ATOM; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Apr 2019 09:11 |
| Last Modified: | 29 Apr 2019 09:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4294 |
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