The time evolution of the buildup process inside a double-barrier system for off-resonance incidence energies is studied by considering the analytic solution of the time-dependent Schrödinger equation with cutoff plane wave initial conditions. We show that the buildup process exhibits invariances under arbitrary changes on the system parameters, which can be successfully described by a simple and easy-to-use one-level formula. We find that the buildup of the off-resonant probability density is characterized by an oscillatory pattern modulated by the resonant case which governs the duration of the transient regime. This is evidence that off-resonant and resonant tunneling are two correlated processes, whose transient regime is characterized by the same transient time constant of two lifetimes.
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17 July 2000
Research Article|
July 17 2000
Dynamical analysis of the buildup process near resonance
Jorge Villavicencio;
Jorge Villavicencio
Centro de Investigación Cientı́fica y de Educación Superior de Ensenada, Apartado Postal 2732, 22800 Ensenada, Baja California, México
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Roberto Romo
Roberto Romo
Facultad de Ciencias, Universidad Autónoma de Baja California, Apartado Postal 1880, 22800 Ensenada, Baja California, México
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Appl. Phys. Lett. 77, 379–381 (2000)
Article history
Received:
March 14 2000
Accepted:
May 23 2000
Citation
Jorge Villavicencio, Roberto Romo; Dynamical analysis of the buildup process near resonance. Appl. Phys. Lett. 17 July 2000; 77 (3): 379–381. https://doi.org/10.1063/1.126982
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