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Dissipative effect and tunneling time. (English) Zbl 1241.82055

Summary: The quantum Langevin equation is studied for a dissipative system using the approach due to G. W. Ford, J. T. Lewis and R. F. O’Connell [“Dissipative quantum tunneling: quantum Langevin equation approach”, Phys. Lett., A 128, No. 1–2, 29–34 (1988; doi:10.1016/0375-9601(88)91037-7)]. Here, we have considered the inverted harmonic oscillator potential and calculated the effect of dissipation on tunneling time, group delay, and the self-interference term. A critical value of the friction coefficient has been determined for which the self-interference term vanishes. This approach sheds new light on understanding the ion transport at nanoscale.

MSC:

82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
82C27 Dynamic critical phenomena in statistical mechanics
82D80 Statistical mechanics of nanostructures and nanoparticles
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