Numerical simulations of quantum clock for measuring tunneling times

Abstract

We numerically study two methods of measuring tunneling times using a quantum clock. In the conventional method using the Larmor clock, we show that the Larmor tunneling time can be shorter for higher tunneling barriers. In the second method, we study the probability of a spin-flip of a particle when it is transmitted through a potential barrier including a spatially rotating field interacting with its spin. According to the adiabatic theorem, the probability depends on the velocity of the particle inside the barrier. It is numerically observed that the probability increases for higher barriers, which is consistent with the result obtained by the Larmor clock. By comparing outcomes for different initial spin states, we suggest that one of the main causes of the apparent decrease in the tunneling time can be the filtering effect occurring at the end of the barrier.

8 pages, 6 figures

References in corpus (7)

• Universal adiabatic dynamics across a quantum critical point
• Observation of the Decrease of Larmor Tunneling Times with Lower Incident Energy
• Relativistic time-dependent quantum dynamics across supercritical barriers for Klein-Gordon and Dirac particles
• Enhancement and suppression of tunneling by controlling symmetries of a potential barrier
• Spin transmission control in helical magnetic fields
• Klein paradox for bosons, wave packets and negative tunnelling times
• Anderson localization of composite particles

Cited by in corpus (3)

• Dynamically Assisted Tunneling in the Floquet Picture
• A unified theory of tunneling times promoted by Ramsey clocks
• Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model