A general scenario of tunneling time in different energy regimes

Abstract We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative incident energy of the wave packet, counterintuitively...

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Bibliographic Details
Published inNew journal of physics Vol. 24; no. 8; pp. 83033 - 83039
Main Author Li, Sheng-Chang
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.08.2022
Subjects
Atoms & subatomic particles
Bose–Einstein condensate
Energy
Laboratories
Physics
Probability
quantum tunneling
Scaling laws
tunneling dynamics
Uncertainty principles
Velocity
Wave packets
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Summary:Abstract We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative incident energy of the wave packet, counterintuitively, the tunneling time decreases very rapidly with decreasing incident velocity. In contrast, for positive incident energy smaller than the barrier height, the tunneling time increases slowly and then reaches a maximum, which is in agreement with the Larmor clock experiments. The effect of the barrier width related to the uncertainty principle on the maximum tunneling time is also addressed. Our work provides a general scenario of tunneling time that can be used to understand and explain the controversy over tunneling time.
Bibliography:NJP-115041.R2
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ac88ee