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Several proposals for a time-of-arrival distribution of ensembles of independent quantum particles subject to an external interaction potential are compared making use of the ``crossing state'' concept. It is shown that only one of them has…

量子物理 · 物理学 2017-02-16 A. D. Baute , I. L. Egusquiza , J. G. Muga

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

量子物理 · 物理学 2017-10-13 Durmus Demir , Tugrul Guner

We propose a general expression for the probability distribution of real-valued tunneling times of a localized particle, as measured by the Salecker-Wigner-Peres quantum clock. This general expression is used to obtain the distribution of…

量子物理 · 物理学 2018-07-06 José T. Lunardi , Luiz A. Manzoni

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

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…

核理论 · 物理学 2022-02-01 Akira Ono

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…

量子物理 · 物理学 2026-03-23 Roman Michelko , Peter Bokes

The dynamics of electronic tunneling through a disordered 1D chain of finite length is considered. We calculate distributions of the transmission coefficient T, Wigner delay time and, $\tau_\phi$ and the transport time, $\tau_t=T\tau_\phi$.…

无序系统与神经网络 · 物理学 2009-10-31 C. J. Bolton-Heaton , C. J. Lambert , Vladimir I. Falko , V. Prigodin , A. J. Epstein

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…

量子物理 · 物理学 2017-05-31 Charis Anastopoulos , Ntina Savvidou

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…

量子物理 · 物理学 2017-04-24 Babur M. Mirza

The tunneling time problem earlier studied in Phys. Rev. Lett 108 170402 (2012) using a non-relativistic time-of-arrival (TOA) operator predicted that tunneling time is instantaneous. This raises the question on whether instantaneous…

量子物理 · 物理学 2022-11-28 Philip Caesar Flores , Eric A. Galapon

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…

量子物理 · 物理学 2021-02-08 D. Sokolovski , E. Akhmatskaya

The real-time propagator of the symmetric Rosen-Morse, also known as the symmetric modified P\"oschl-Teller, barrier is expressed in the Picard-Lefschetz path integral formalism using real and complex classical paths. We explain how the…

量子物理 · 物理学 2023-09-25 Job Feldbrugge , Dylan L. Jow , Ue-Li Pen

We present a transparent and analytically tractable approach to the problem of time-dependent electron transport through tunneling barriers. Using the Single-Electron Approach, we study a model system composed of a time-dependent tunneling…

介观与纳米尺度物理 · 物理学 2025-07-29 Shmuel Gurvitz , Dmitri Sokolovski

We study the transition time distribution for a particle moving between two wells of a multidimensional potential in the low-noise limit of overdamped Langevin dynamics. Possible transition paths are restricted to a thin tube surrounding…

统计力学 · 物理学 2015-05-14 Sergey V. Malinin , Vladimir Y. Chernyak

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…

混沌动力学 · 物理学 2023-02-20 Marcel Novaes , Jack Kuipers

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

A clear consensus on how long it takes a particle to tunnel through a potential barrier has never been so urgently required, since the electron dynamics in strong-field ionization can be resolved on attosecond time-scale in experiment and…

原子物理 · 物理学 2019-03-19 Xiaolei Hao , Zheng Shu , Weidong Li , Jing Chen

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…

量子物理 · 物理学 2007-06-26 Wang Guowen

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…

高能物理 - 理论 · 物理学 2015-05-27 Stefano De Leo , Vinicius Leonardi

We explore the dynamics of non-interacting particles loaded into a phase-modulated one-dimensional lattice formed by laterally oscillating square barriers. Tuning the parameters of the driven unit cell of the lattice selected parts of the…

混沌动力学 · 物理学 2015-05-18 Christoph Petri , Florian Lenz , Fotis K. Diakonos , Peter Schmelcher