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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

What time does a clock tell after quantum tunneling? Predictions and indirect measurements range from superluminal or instantaneous tunneling to finite durations, depending on the specific experiment and the precise definition of the…

Quantum Physics · Physics 2024-04-23 Patrik Schach , Enno Giese

Tunnelling transit time for a frustrated total internal reflection in a double-prism experiment was measured using microwave radiation. We have found that the transit time is of the same order of magnitude as the corresponding transit time…

General Physics · Physics 2017-09-27 A. Haibel , G. Nimtz

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

Tunneling is one of the most bizarre phenomena in quantum mechanics. An attempt to understand it led to the next natural question of how long does a particle need to tunnel a barrier. The latter gave rise to several definitions such as the…

Quantum Physics · Physics 2017-11-22 N. G. Kelkar

The Larmor precession of a relativistic neutral spin-1/2 particle in a uniform constant magnetic field confined to the region of a one-dimensional arbitrary potential barrier is investigated. The spin precession serves as a clock to measure…

Quantum Physics · Physics 2009-11-07 Zhi-Jian Li , Jiu-Qing. Liang , D. H. Kobe

The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov et al. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg

Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the…

Chaotic Dynamics · Physics 2023-02-20 Marcel Novaes , Jack Kuipers

After a brief review of the derivation of the standard phase time formula, based on the use of the stationary phase method, we propose, in the opaque limit, an alternative method to calculate the phase time. The new formula for the phase…

Quantum Physics · Physics 2015-05-27 Stefano De Leo , Vinicius Leonardi

We propose a solid-state implementation of the Larmor clock that exploits tunnel magnetoresistance to distill information on how long itinerant spins take to traverse a barrier embedded in it. Keeping in mind that the tunnelling time…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Amal Mathew , Kerem Y Camsari , Bhaskaran Muralidharan

Asymptotic time evolution of a wave packet describing a non-relativistic particle incident on a potential barrier is considered, using the Wigner phase-space distribution. The distortion of the trasmitted wave packet is determined by two…

Quantum Physics · Physics 2007-05-23 M. S. Marinov , Bilha Segev

A phenomenological model for a measurement of barrier traversal times for particles is proposed. Two idealized detectors for passage and arrival provide entrance and exit times for the barrier traversal. The averaged traversal time is…

Quantum Physics · Physics 2009-10-31 J. P. Palao , J. G. Muga , S. Brouard , A. Jadczyk

Time-dependent analytical solutions to Schr\"{o}dinger's equation with quantum shutter initial conditions are used to investigate the issue of the tunneling time of forerunners in rectangular potential barriers. By using a time-frequency…

Quantum Physics · Physics 2007-05-23 Gaston Garcia-Calderon , Jorge Villavicencio

Time it takes to travel from one position to another, devoid of any quantum mechanical description, has been modeled variously, especially for quantum tunneling. The model time, if universally valid, must be subluminal, must hold everywhere…

Quantum Physics · Physics 2020-01-20 Durmus Demir , Serkan Pacal

There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic…

Quantum Physics · Physics 2007-06-26 Wang Guowen

The reflection and transmission Salecker-Wigner-Peres clock times averaged over the post-selected reflected and transmitted sub-ensembles, respectively, are investigated for the one dimensional scattering of a localized wave packet through…

Quantum Physics · Physics 2013-12-17 Bryce A. Frentz , José T. Lunardi , Luiz A. Manzoni

A controversy surrounding the "tunnelling time problem" stems from the seeming inability of quantum mechanics to provide, in the usual way, a definition of the duration a particle is supposed to spend in a given region of space. For this…

Quantum Physics · Physics 2021-02-08 D. Sokolovski , E. Akhmatskaya

We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary…

Quantum Physics · Physics 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal

Tunneling, though a physical reality, is shrouded in mystery. Wave packets cannot be constructed under the barrier and group velocity cannot be defined. The tunneling particle can be observed on either sides of the barrier but its…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Kanchan Meena , P. Singha Deo