Volume 72, Number 2, October 2005
|Page(s)||287 - 293|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||14 September 2005|
Nonlinear effects in quantum tunnelling escape
Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University - Tel-Aviv 69978, Israel
2 Department of Mathematics, Rutgers University - New Brunswick, NJ 08903, USA
Accepted: 18 August 2005
We consider the problem of tunnelling 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 tunnelling rate and time evolutions of the number of trapped particles for different nonlinearity values.
PACS: 82.20.Xr – Quantum effects in rate constants (tunneling, resonances, etc.) / 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
© EDP Sciences, 2005
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