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Though both theoretical and experimental investigations have revealed the superluminal behavior of evanescent electromagnetic waves, there are many disputes about the physical meaning and validity of such superluminal phenomenon, which is…

Quantum Physics · Physics 2015-06-26 Zhi-Yong Wang , Cai-Dong Xiong

We calculate the time taken by a wave packet to tunnel through a series of complex barrier potentials using stationary phase method to show its saturation (Hartman-Fletcher effect) with number of barriers in various situations. We…

Quantum Physics · Physics 2015-05-14 Ananya Ghatak , Mohammad Hasan , Bhabani Prasad Mandal

I propose to consider photon tunneling as a space-time correlation phenomenon between the emission and absorption of a photon on the two sides of a barrier. Standard technics based on an appropriate counting rate formula may then be applied…

Quantum Physics · Physics 2007-05-23 Peter Hrasko

We formulate quantum tunneling as a time-of-arrival problem: we determine the detection probability for particles passing through a barrier at a detector located a distance L from the tunneling region. For this purpose, we use a…

Quantum Physics · Physics 2009-11-13 Charis Anastopoulos , Ntina Savvidou

This paper develops a geometrodynamic extension of Bohmian mechanics to describe quantum tunneling through a potential barrier, treating particle trajectories as geodesics in an Alcubierre-type spacetime. The model provides analytical…

Quantum Physics · Physics 2025-11-27 Said Lantigua , Jonas Maziero

We develop a new variant of the wave-packet analysis and solve the tunneling time problem for one particle. Our approach suggests an individual asymptotic description of the quantum subensembles of transmitted and reflected particles both…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We present a renewed wave-packet analysis based on the following ideas: if a quantum one-particle scattering process and the corresponding state are described by an indivisible wave packet to move as a whole at all stages of scattering,…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

The time of passage of the transmitted wave packet in a tunneling collision of a quantum particle with a square potential barrier becomes independent of the barrier width in a range of barrier thickness. This is the Hartman effect, which…

Quantum Physics · Physics 2013-05-29 J. G. Muga , I. L. Egusquiza , J. A. Damborenea , F. Delgado

I show that the MacColl-Hartman effect, namely, the saturation of the group delay time of sub-barrier quantum tunneling as a function of the barrier width, comes from the saturating behavior of a more fundamental concept - the phase of the…

Quantum Physics · Physics 2021-08-09 Atom Zhora Muradyan

Elastic scattering of a wave can be quantified by a shift in the phase with respect to the incoming wave phase. A qualitative measure of the time during which the effect occurs is given by the Wigner time delay. The tunneling time in turn…

Quantum Physics · Physics 2024-02-08 Benjamin Schwager , Lars Meschede , Jamal Berakdar

In electron transport, the tunnelling time is the time taken for an electron to tunnel out of a system after it has tunnelled in. We define the tunnelling time distribution for quantum processes in a dissipative environment and develop a…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Samuel Rudge , Daniel Kosov

The title of this article is misleading. The authors have investigated a resonator but not a tunneling barrier see also Refs.\cite{Winful2} The measured superluminal group velocity and discussed is that studied on a Lorentz-Lorenz…

Quantum Physics · Physics 2007-10-29 G. Nimtz , A. A. Stahlhofen

We propose an analytical study of relativistic tunneling through opaque barriers. We obtain a closed formula for the phase time. This formula is in excellent agreement with the numerical simulations and corrects the standard formula…

High Energy Physics - Theory · Physics 2015-05-27 Stefano De Leo , Vinicius Leonardi

In the present work we propose a generalization of tunneling time in parity and time ($\mathcal{P}\mathcal{T}$)-symmetric systems. The properties of tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems are studied with a simple…

Other Condensed Matter · Physics 2023-03-03 Peng Guo , Vladimir Gasparian , Esther Jódar , Christopher Wisehart

How much time does a tunneling wave packet spent in traversing a barrier? Quantum mechanical calculations result in zero time inside a barrier . In the nineties analogous tunneling experiments with microwaves were carried out. The results…

Quantum Physics · Physics 2022-10-20 Guenter Nimtz

Motivated by recent time domain experiments on ultrafast atom ionization, we analyze the transients and timescales that characterize, besides the relatively long lifetime, the decay by tunneling of a localized state. While the tunneling…

Quantum Physics · Physics 2011-01-07 Yue Ban , E. Ya. Sherman , J. G. Muga , M. Büttiker

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

Quantum Physics · Physics 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

The measurement of tunneling times in strong-field ionization has been the topic of much controversy in recent years, with the attoclock and Larmor clock being two of the main contenders for correctly reproducing these times. By expressing…

Quantum Physics · Physics 2025-05-01 Pablo Martin Maier , Serguei Patchkovskii , Mikhail Ivanov , Olga Smirnova

Various expressions for transit times in frustrated total internal reflection are analysed. The incompatibility of evanescent-wave propagation with Einstein causality is established.

General Physics · Physics 2007-05-23 Yu. Malyuta

We present a proposal for the estimation of B\"uttiker-Landauer traversal time based on the visibility of transmission current. We analyze the tunneling phenomena with a time-dependent potential and obtain the time-dependent transmission…

Quantum Physics · Physics 2009-11-06 Koh'ichiro Hara , Ichiro Ohba
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