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We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the…

量子物理 · 物理学 2015-07-20 Ofir Flom , Asher Yahalom , Haggai Zilberberg , L. P. Horwitz , Jacob Levitan

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

量子物理 · 物理学 2009-02-05 B. I. Ivlev

Tunnelling is one of the most paradigmatic and evocative phenomena of quantum physics, underlying processes such as photosynthesis and nuclear fusion, as well as devices ranging from SQUID magnetometers to superconducting qubits for quantum…

原子物理 · 物理学 2019-08-02 Ramón Ramos , David Spierings , Isabelle Racicot , Aephraim M. Steinberg

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…

量子物理 · 物理学 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

Analytic solutions to the time-dependent Schr\"odinger equation for cutoff wave initial conditions are used to investigate the time evolution of the transmitted probability density for tunneling. For a broad range of values of the potential…

量子物理 · 物理学 2009-11-07 Gaston Garcia-Calderon , Jorge Villavicencio

The tunneling time of particle through given barrier is commonly defined in terms of "internal clocks" which effectively measure the interaction time with internal degrees of freedom of the barrier. It is known that this definition of the…

凝聚态物理 · 物理学 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex paths for direct and resonance-assisted tunneling in the…

混沌动力学 · 物理学 2017-03-08 Felix Fritzsch , Arnd Bäcker , Roland Ketzmerick , Normann Mertig

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…

量子物理 · 物理学 2015-05-27 Stefano De Leo , Vinicius Leonardi

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

量子物理 · 物理学 2015-06-12 Charis Anastopoulos , Ntina Savvidou

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…

量子物理 · 物理学 2015-06-26 Arya Paul , Arnab Saha , Swarnali Bandopadhyay , Binayak Dutta-Roy

Tunneling half lives are obtained in a minimalistic deformation picture of nuclear decays. As widely documented in other deformation models, one finds that the effective mass of the nucleus changes with the deformation parameter. However,…

核理论 · 物理学 2024-08-28 Samyak Jain , A. Bhagwat

We calculate a tunneling time distribution by means of Nelson's quantum mechanics and investigate its statistical properties. The relationship between the average and deviation of tunneling time suggests the exsistence of ``wave-particle…

量子物理 · 物理学 2009-11-07 Koh'ichiro Hara , Ichiro Ohba

This is a brief review of few relevant topics on tunneling of composite particles and how the coupling to intrinsic and external degrees of freedom affects tunneling probabilities. I discuss the phenomena of resonant tunneling, different…

核理论 · 物理学 2015-06-11 C. A. Bertulani

The general and explicit relation between the phase time and the dwell time for quantum tunneling or scattering is investigated. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, here we…

量子物理 · 物理学 2009-11-10 Alex E. Bernardini

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…

量子物理 · 物理学 2022-10-20 Guenter Nimtz

Probabilities of resonant tunneling through a potential barrier are compared for a rigid molecule and an excited molecule. It is shown that the resonance spectrum is mainly governed by the transmission resonance spectrum of the rigid…

量子物理 · 物理学 2015-06-23 P. M. Krassovitskiy , F. M. Pen'kov

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…

量子物理 · 物理学 2026-03-04 D. Sokolovski , A. Matzkin

We show that it is impossible to determine the time a tunneling particle spends under the barrier. However, it is possible to determine the asymptotic time, i.e., the time the particle spends in a large area including the barrier. We…

量子物理 · 物理学 2009-11-07 Julius Ruseckas

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…

量子物理 · 物理学 2007-05-23 Gaston Garcia-Calderon , Jorge Villavicencio

Quantum mechanical tunneling across smooth double barrier potentials modeled using Gaussian functions, is analyzed numerically and by using the WKB approximation. The transmission probability, resonances as a function of incident particle…

量子物理 · 物理学 2021-10-26 Avik Dutt , Sayan Kar