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Quantum interference in time-dependent tunneling

Journal Article


Abstract


  • The frequency-dependent transmission coefficient of a particle tunneling through a time-dependent barrier is calculated taking into account the quantum interference effect. We consider a rectangular barrier of height V0 with a time-dependent modulation of single frequency ω. For small modulation amplitude V1, our result is exact up to order V 21 for any barrier width. In the low transmission region, our result is consistent with those obtained using a semiclassical method. We find that quantum interference (two modulation quanta process) makes a significant contribution to the tunneling current. In the static approximation, ωτ≪1, where τ is the barrier transit time, the contribution to the current from interference process is to cancel one-half of the tunneling current from first-order process (one modulation quantum process). To the lowest order in power series of V1/ℏω, the tunneling current is reduced due to interference.

Publication Date


  • 1988

Citation


  • Zhang, C., & Tzoar, N. (1988). Quantum interference in time-dependent tunneling. Applied Physics Letters, 53(20), 1982-1984. doi:10.1063/1.100339

Scopus Eid


  • 2-s2.0-36549098524

Start Page


  • 1982

End Page


  • 1984

Volume


  • 53

Issue


  • 20

Abstract


  • The frequency-dependent transmission coefficient of a particle tunneling through a time-dependent barrier is calculated taking into account the quantum interference effect. We consider a rectangular barrier of height V0 with a time-dependent modulation of single frequency ω. For small modulation amplitude V1, our result is exact up to order V 21 for any barrier width. In the low transmission region, our result is consistent with those obtained using a semiclassical method. We find that quantum interference (two modulation quanta process) makes a significant contribution to the tunneling current. In the static approximation, ωτ≪1, where τ is the barrier transit time, the contribution to the current from interference process is to cancel one-half of the tunneling current from first-order process (one modulation quantum process). To the lowest order in power series of V1/ℏω, the tunneling current is reduced due to interference.

Publication Date


  • 1988

Citation


  • Zhang, C., & Tzoar, N. (1988). Quantum interference in time-dependent tunneling. Applied Physics Letters, 53(20), 1982-1984. doi:10.1063/1.100339

Scopus Eid


  • 2-s2.0-36549098524

Start Page


  • 1982

End Page


  • 1984

Volume


  • 53

Issue


  • 20