Engl, Thomas and Urbina, Juan Diego and Richter, Klaus (2016) The semiclassical propagator in Fock space: dynamical echo and many-body interference. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 374 (2069): 20150159. ISSN 1364-503X, 1471-2962
Full text not available from this repository. (Request a copy)Abstract
We present a semiclassical approach to many-body quantum propagation in terms of coherent sums over quantum amplitudes associated with the solutions of corresponding classical nonlinear wave equations. This approach adequately describes interference effects in the many-body space of interacting bosonic systems. The main quantity of interest, the transition amplitude between Fock states when the dynamics is driven by both single-particle contributions and many-body interactions of similar magnitude, is non-perturbatively constructed in the spirit of Gutzwiller's derivation of the van Vleck propagator from the path integral representation of the time evolution operator, but lifted to the space of symmetrized many-body states. Effects beyond mean-field, here representing the classical limit of the theory, are semiclassically described by means of interfering amplitudes where the action and stability of the classical solutions enter. In this way, a genuinely many-body echo phenomenon, coherent backscattering in Fock space, is presented arising due to coherent quantum interference between classical solutions related by time reversal.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COHERENT-STATE PROPAGATOR; TRUNCATED WIGNER METHOD; POLARIZATION ECHOES; PHASE-SPACE; SPIN; SYSTEMS; REPRESENTATION; EQUILIBRIUM; NMR; semiclassics; many-body dynamics; ultracold atoms; coherent backscattering; interference |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Mar 2019 14:24 |
| Last Modified: | 15 Mar 2019 14:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2774 |
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