Quantum mechanical tunneling through a time-dependent barrier

Jiu Yuan Ge; John Z.H. Zhang

doi:10.1063/1.472644

Quantum mechanical tunneling through a time-dependent barrier

Jiu Yuan Ge, John Z.H. Zhang

Chemistry

Research output: Contribution to journal › Article › peer-review

Abstract

We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.

Original language	English (US)
Pages (from-to)	8628-8632
Number of pages	5
Journal	Journal of Chemical Physics
Volume	105
Issue number	19
DOIs	https://doi.org/10.1063/1.472644
State	Published - 1996

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.472644

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abstract = "We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.",

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AB - We present a numerical investigation of quantum mechanical tunneling process in a time-dependent (fluctuating) barrier using a one dimensional model of Eckart barrier. The tunneling probability is calculated for two cases in which (1) the height of the barrier is undergoing harmonic oscillation with frequency ω and (2) the location of the barrier is undergoing harmonic oscillation with frequency ω. It is observed in both cases that the quantum mechanical tunneling probability exhibits a maximum as a function of the oscillating frequency ω between the low and high frequency limits. The physical origin and process underlying this resonantlike phenomenon are proposed in this paper based on the current model study.

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Quantum mechanical tunneling through a time-dependent barrier

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