Nonlinear effects in quantum tunnelling escapeV. Fleurov1 and A. Soffer2
1 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
received 27 April 2005; accepted in final form 18 August 2005
published online 14 September 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.
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.
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