Nonlinear effects in tunnelling escape in N-body quantum systems
Other Condensed Matter
2015-06-24 v1 Soft Condensed Matter
Mathematical Physics
math.MP
Abstract
We consider the problem of tunneling escape of particles from a multiparticle system confined within a potential trap. The process is nonlinear due to the interparticle interaction. Using the hydrodynamic representation for the quantum equations of the multiparticle system we find the tunneling rate and time evolutions of the number of trapped particles for different nonlinearity values.
Keywords
Cite
@article{arxiv.cond-mat/0409581,
title = {Nonlinear effects in tunnelling escape in N-body quantum systems},
author = {V. Fleurov and A. Soffer},
journal= {arXiv preprint arXiv:cond-mat/0409581},
year = {2015}
}
Comments
10 pages, 3 figures