The relativistic tunneling flight time may be superluminal, but it does not imply superluminal signaling

  title={The relativistic tunneling flight time may be superluminal, but it does not imply superluminal signaling},
  author={Randall S Dumont and Tom Rivlin and Eli Pollak},
  journal={New Journal of Physics},
Wavepacket tunneling, in the relativistic limit, is studied via solutions to the Dirac equation for a square barrier potential. Specifically, the arrival time distribution (the time-dependent flux) is computed for wavepackets initiated far away from the barrier, and whose momentum is well below the threshold for above-barrier transmission. The resulting distributions exhibit peaks at shorter times than those of photons with the same initial wavepacket transmitting through a vacuum. However… Expand
Determination of the tunneling flight time as the reflected phase time
Using the time parameter in the time-dependent Schr\"odinger equation, we study the time of flight for a particle tunneling through a square barrier potential. Comparing the mean and variance of theExpand
Comparison of a direct measure of barrier crossing times with indirect measures such as the Larmor time
Different approaches for considering barrier crossing times are analyzed, with special emphasis on recent experiments which attempt to measure what is commonly referred to as the Larmor tunnelingExpand
Clocking the Quantum Sojourn Time: Spurious Scatterings and Correction to the Larmor Clock
We revisit the notions of the quantum-mechanical sojourn time in the context of the quantum clocks to enquire whether the sojourn time be clocked without the clock affecting the dynamics of the waveExpand
Time-Conjugation in a Unified Quantum Theory for Hermitian and Non-Hermitian Electronic Systems under Time-Reversal Symmetry
We propose a reformulation of the mathematical formalism of many-electron quantum theory that rests entirely on the physical properties of the electronic system under investigation, rather thanExpand
Timelessness Strictly inside the Quantum Realm
It is proposed that a label of timelessness offers clues for rendering a Copenhagen-type interpretation of quantum physics more “realistic” and acceptable by providing a coarse but viable link from the fundamental quantum realm to the classical world which humans directly experience. Expand


Tunneling time, the Hartman effect, and superluminality: A proposed resolution of an old paradox
The issue of tunneling time is replete with controversy and paradoxes. The controversy stems from the fact that many tunneling time definitions seem to predict superluminal tunneling velocities. OneExpand
Instantaneous Tunneling Flight Time for Wavepacket Transmission through Asymmetric Barriers.
The time it takes a particle to tunnel through the asymmetric Eckart barrier potential is investigated using Gaussian wavepackets, where the barrier serves as a model for the potential along a chemical reaction coordinate and the result seems to be a general result for one-dimensional time-independent potentials. Expand
VI: Tunneling Times and Superluminality
Publisher Summary Measurements of tunneling times by photons possess certain advantages over those by electrons or other particles, stemming from the fact that the wavelength of visible light isExpand
On the Traversal Time of Barriers
Fifty years ago Hartman studied the barrier transmission time of wave packets (J Appl Phys 33:3427–3433, 1962). He was inspired by the tunneling experiments across thin insulating layers at thatExpand
On superluminal tunneling
Abstract Photonic tunneling is currently of theoretical and applied interest. In a previous review, faster-than-light (i.e. superluminal) photonic tunneling was discussed (Progr. Quantum Electron. 21Expand
Relativistic tunnelling time for electronic wave packets
We have analyzed the influence of the wave packet size in the relativistic tunnelling time τ and its uncertainty �τ when it traverses a given potential barrier. The analytical expressions obtainedExpand
Tunneling Flight Time, Chemistry, and Special Relativity.
A new experimentally measurable paradigm is defined, the tunneling flight time, and it is shown that it vanishes for scattering through an Eckart or a square barrier, irrespective of barrier length or height, generalizing the Hartman effect. Expand
Measurement of the time spent by a tunnelling atom within the barrier region
Using the spin precession of Bose-condensed 87Rb atoms as a clock, direct measurements are made of the time required for Rb atoms to quantum tunnel through a classically impenetrable barrier. Expand
Larmor precession and the traversal time for tunneling
Baz' and Rybachenko have proposed the use of the Larmor precession as a clock to measure the time it takes a particle to traverse a barrier. An applied magnetic field is confined to the barrier. TheExpand
Tunneling of a Wave Packet
Analytic expressions are given for the time spent by a particle tunneling through a potential barrier. The expressions are derived for an incident wave packet which is initially Gaussian, centeredExpand