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The time evolution of the buildup process inside a double-barrier system for off-resonance incidence energies is studied by considering the analytic solution of the time dependent Schr\"{o}dinger equation with cutoff plane wave initial…

Quantum Physics · Physics 2009-11-06 Jorge Villavicencio , Roberto Romo

Tunneling of a particle through a potential barrier is a fundamental physical process and a major thought-provoking outcome of quantum physics. It is at the basis of multiple scientific and technological advances and strongly influences…

Quantum particles interacting with potential barriers are ubiquitous in physics, and the question of how much time they spend inside classically forbidden regions has attracted interest for many decades. Recent developments of new…

Quantum Physics · Physics 2021-07-06 Seyedmohammad Yusofsani , Miroslav Kolesik

By using an exact solution to the time-dependent Schr\"{o}dinger equation with a point source initial condition, we investigate both the time and spatial dependence of quantum waves in a step potential barrier. We find that for a source…

Quantum Physics · Physics 2009-11-07 Jorge Villavicencio , Roberto Romo , Sukey Sosa y Silva

In this paper, the interaction and transmission time of quantum density solitons waves representing particles passing through finite barrier potentials is investigated. Using the conservation of energy and of quantum density, it is first…

Quantum Physics · Physics 2017-04-24 Babur M. Mirza

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

Transient simulations of a resonant tunneling diode oscillator are presented. The semiconductor model for the diode consists of a set of time-dependent Schr\"odinger equations coupled to the Poisson equation for the electric potential. The…

Computational Physics · Physics 2015-06-12 Jan-Frederik Mennemann , Ansgar Jüngel , Hans Kosina

Tunneling in the presence of an opaque barrier, part of which varies in time, is investigated numerically and analytically in one dimension. Clearly, due to the varying barrier a tunneling particle experiences spectral widening. However, in…

Condensed Matter · Physics 2015-06-24 Er'el Granot

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

The traditional transmission coefficient present in the original Landauer formulation, which is valid for quasi-static scenarios with working frequencies below the inverse of the electron transit time, is substituted by a novel…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Matteo Villani , Simone Clochiatti , Werner Prost , Nils Weimann , Xavier Oriols

Time evolution of tunneling phenomena proceeding in thermal medium is studied using a standard model of environment interaction. A semiclassical probability formula for the particle motion in a metastable state of one dimensional system put…

High Energy Physics - Phenomenology · Physics 2009-11-10 Sh. Matsumoto , M. Yoshimura

The forerunners preceding the main tunneling signal of the wave created by a source with a sharp onset or by a quantum shutter, have been generally associated with over-the-barrier (non-tunneling) components. We demonstrate that, while this…

Quantum Physics · Physics 2009-11-07 G. Garcia-Calderon , Jorge Villavicencio , F. Delgado , J. G. Muga

The time-dependent barrier passage of an anomalous system-reservoir coupling non-equilibrium open environment is studied where the heat bath is modulated by an external noise. The time-dependent barrier passing probability is obtained…

Chemical Physics · Physics 2012-09-11 Chun-Yang Wang , Jun Huang

We study the tunneling through an arbitrary number of finite rectangular opaque barriers and generalize earlier results by showing that the total tunneling phase time depends neither on the barrier thickness nor on the inter-barrier…

Quantum Physics · Physics 2009-11-07 S. Esposito

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

The resonant tunneling phenomenon is well understood in quantum mechanics. We argue why a similar phenomenon must be present in quantum field theory. We then use the functional Schr\"odinger method to show how resonant tunneling through…

High Energy Physics - Theory · Physics 2009-10-08 S. -H. Henry Tye , Daniel Wohns

Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of…

Quantum Physics · Physics 2015-06-26 Arya Paul , Arnab Saha , Swarnali Bandopadhyay , Binayak Dutta-Roy

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 fully nonlinear response of a many-level tunneling system to a strong alternating field of high frequency $\omega$ is studied in terms of the Schwinger-Keldysh nonequilibrium Green functions. The nonlinear time dependent tunneling…

Condensed Matter · Physics 2009-10-28 Y. Goldin , Y. Avishai

Recent studies of the tunnelling through two opaque barriers claim that the transit time is independent of the barrier widths and of the separation distance between the barriers. We observe, in contrast, that if multiple reflections are…

Quantum Physics · Physics 2007-05-23 Stefano De Leo , Pietro Rotelli