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Sawtooth structure in tunneling probability for a periodically perturbed rounded-rectangular potential.

Kin'ya Takahashi1, Kensuke S Ikeda2

  • 1Department of Physics and Information Technology, Kyushu Institute of Technology, Kawazu 680-4, Iizuka 820-8502, Japan; Research Institute for Information Technology, Kyushu University, 744 Motooka Nishi-ku, Fukuoka 819-0395, Japan; and AcsiomA Ltd, 3-8-33 Momochihama Sawara-ku, Fukuoka 814-0001, Japan.

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Sawtooth structures in tunneling probability arise from multiquanta absorption. Changing Planck

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • Quantum tunneling is a fundamental phenomenon.
  • Understanding tunneling in complex potentials is crucial.

Purpose of the Study:

  • Investigate sawtooth structures in tunneling probabilities.
  • Analyze the role of Planck's constant and perturbation frequency.

Main Methods:

  • Theoretical analysis of a periodically perturbed rounded-rectangular potential.
  • Examining tunneling probabilities with varying Planck's constant and perturbation frequency.

Main Results:

  • Observed sawtooth structures in tunneling probabilities.
  • Identified multiquanta absorption as the underlying mechanism.
  • Found dominant contribution from harmonic channels absorbing minimum quanta.
  • Resonance eigenstates influence sawtooth peaks.

Conclusions:

  • Multiquanta absorption dictates tunneling behavior.
  • Sawtooth structures are predictable with changing parameters.
  • An effective formula characterizes these sawtooth profiles.