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Article overview
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The semiclassical propagator in Fock space: dynamical echo and many-body interference | | Thomas Engl
; Juan Diego Urbina
; Klaus Richter
; | | Date: |
23 Nov 2015 | | 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-particlecontributions 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. | | Source: | arXiv, 1511.7234 | | Services: | Forum | Review | PDF | Favorites | |
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