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Tunneling times in atomic ionization are studied theoretically by a virtual detector approach. A virtual detector is a hypothetical device that allows one to monitor the wave function's density with spatial and temporal resolution during…

Quantum Physics · Physics 2016-08-10 Nicolas Teeny , Christoph H. Keitel , Heiko Bauke

Exact analytical solutions of the time-dependent Schr\"odinger equation with the initial condition of an incident cutoff wave are used to investigate the traversal time for tunneling. The probability density starts from a vanishing value…

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

Attempts to find a quantum-to-classical correspondence in a classically forbidden region leads to non-physical paths, involving, for example, complex time or spatial coordinates. Here, we identify genuine quasi-classical paths for tunneling…

Quantum Physics · Physics 2017-05-31 Charis Anastopoulos , Ntina Savvidou

A method of a non-stationary description of tunneling of a particle through the one-dimensional and spherically symmetric rectangular barriers on the basis of analisis of multiple internal reflections of wave packets in relation on the…

Nuclear Theory · Physics 2009-09-29 Vladislav S. Olkhovsky , Sergei P. Maydanyuk

Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each…

Quantum Physics · Physics 2015-06-03 D. Marian , E. Colomés , X. Oriols

The tunneling time is here investigated by means of an electromagnetic model, for a system where a gap, between two parallel planes, acts as a classically-forbidden region for an impinging pulse with incidence angle larger than the critical…

Optics · Physics 2007-05-23 D. Mugnai , A. Ranfagni , L. Ronchi

We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential $V_{r} - iV_{i}$ in space-fractional quantum mechanics. By applying the stationary phase method, we derive a closed-form expression for the…

Quantum Physics · Physics 2025-04-08 Mohammad Umar , Vibhav Narayan Singh , Bhabani Prasad Mandal

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

We investigate the scattering of two distinguishable particles with unequal masses and a mutual short-range interaction with the aim of quantifying the impact of a tunneling ``projectile'' particle on the quantum mechanical state of the…

Quantum Physics · Physics 2026-03-23 Roman Michelko , Peter Bokes

We propose a method to study the tunneling process by analyzing the time-dependent ionization yield in circularly polarized laser. A numerical calculation shows that for an atom exposed to a long laser pulse, if its initial electronic state…

Atomic Physics · Physics 2016-06-08 MingHu Yuan , PeiPei Xin , TianShu Chu , HongPing Liu

An explicit expression is obtained for the phase-time corresponding to tunneling of a (non-relativistic) particle through two rectangular barriers, both in the case of resonant and in the case of non-resonant tunneling. It is shown that the…

Quantum Physics · Physics 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

The tunneling of Gaussian wave packets has been investigated by numerically solving the one-dimensional Schr\"odinger equation. The shape of wave packets interacting with a square barrier has been monitored for various values of the barrier…

Quantum Physics · Physics 2017-09-27 H. M. Krenzlin , J. Budczies , K. W. Kehr

As was shown in quant-ph/0405028, the state of a tunneling particle can be uniquely presented as a coherent superposition of two states to describe alternative sub-processes, transmission and reflection. In this paper, on the basis of the…

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

The mechanism of superluminal traversal time through a potential well or potential barrier is investigated from the viewpoint of interference between multiple finite wave packets, due to the multiple reflections inside the well or barrier.…

Quantum Physics · Physics 2009-03-30 Xi Chen , Chun-Fang Li

The measurement of the tunneling time (T-time) in today's attosecond and strong field (low-frequency) experiments, despite its controversial discussion, offers a fruitful opportunity to understand time measurement and the time in quantum…

Quantum Physics · Physics 2017-01-19 Ossama Kullie

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

Quantum mechanics predicts an exponentially small probability that a particle with energy greater than the height of a potential barrier will nevertheless reflect from the barrier in violation of classical expectations. This process can be…

Quantum Physics · Physics 2015-05-14 R. L. Jaffe

The measurement of the tunneling time-delay is hotly debated and remains controversial. In previous works, we showed that a model that accurately describes the time-delay measured by the attoclock experiment in adiabatic and nonadiabatic…

Quantum Physics · Physics 2025-01-17 Ossama Kullie

A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a…

Nuclear Theory · Physics 2022-02-01 Akira Ono

The time evolution of plane waves in the presence of a 1-dimensional square quantum barrier is considered. Comparison is made between the cases of an infinite and a cut-off (shutter) initial plane wave. The difference is relevant when the…

Quantum Physics · Physics 2009-11-13 J. Julve , F. J. de Urries