On Superluminal motions in photon and particle tunnelings

Abstract

It is shown that the Hartman-Fletcher effect is valid for all the known expressions of the mean tunnelling time, in various nonrelativistic approaches, for the case of finite width barriers without absorption. Then, we show that the same effect is not valid for the tunnelling time mean-square fluctuations. On the basis of the Hartman-Fletcher effect and the known analogy between photon and nonrelativistic-particle tunnelling, one can explain the Superluminal group-velocities observed in various photon tunnelling experiments (without violation of the so-called "Einstein causality").

standard LaTeX file; accepted for publication in Phys. Lett. A

References in corpus (2)

• On the propagation speed of evanescent modes
• Complex--Barrier Tunnelling Times

Cited by in corpus (19)

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• Measurement of Superluminal optical tunneling times in double-barrier photonic bandgaps
• Superluminal effects for quantum tunneling through two successive barriers
• On the propagation speed of evanescent modes
• Bounds and enhancements for the Hartman effect
• About Superluminal motions and Special Relativity: A Discussion of some recent Experiments, and the solution of the Causal Paradoxes
• Full-Bloch beams and ultrafast Rabi-rotating vortices
• The method of multiple internal reflections in a description of tunneling evolution of nonrelativistic particles and photons
• Stationary phase method and delay times for relativistic and non-relativistic tunneling particles
• Limitations on the principle of stationary phase when it is applied to tunneling analysis
• Delay time computation for relativistic tunneling particles
• Small Corrections to the Tunneling Phase Time Formulation
• Hartman effect and dissipative quantum systems
• Relation between phase and dwell times for quantum tunneling of a relativistically propagating particle
• Superluminal motions (and microwave propagation) in Special Relativity: Solution of the causal paradoxes
• The Exact Correspondence between Phase Times and Dwell Times in a Symmetrical Quantum Tunneling Configuration
• The stationary phase condition applicability to the study of tunnel effect
• Above potential barrier diffusion
• Recovering the stationary phase condition for accurately obtaining scattering and tunneling times