ID: 1807.01814

A probability distribution for quantum tunneling times

July 5, 2018

View on ArXiv

Similar papers 2

Statistical Approach to Tunneling Time in Attosecond Experiments

December 14, 2015

87% Match
Durmus Demir, Tugrul Guner
Mesoscale and Nanoscale Phys...
Atomic Physics

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 absence of a universal method to compute tunneling time. This problem has been attacked in various ways in the literature. Here, in the present work, we show that a statistical approach to the problem, motivated by the imaginary nature of tim...

Find SimilarView on arXiv

Quantum Tunneling in the Wigner Representation

February 23, 1996

87% Match
M. S. Phys. Dep. Technion, Haifa, Israel Marinov, Bilha Phys. Dep. Technion, Haifa, Israel Segev
Quantum Physics

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various initial state preparations and local potential barriers. It is manifestly causal and includes time-lag effects and quantum spreading. Specific features of quantum dynamics which disappear in the standard semi-classical approximation are reveal...

Find SimilarView on arXiv

Time-dependent Interactions in Tunnelling Dynamics

February 14, 2022

87% Match
Luca Nanni
Quantum Physics

In this paper, the tunnelling of a particle through a potential barrier is investigated in the presence of a time-dependent perturbation. The latter is attributed to the process of the energy measurement of the scattered particle. The time-dependent Schrodinger equation of the model is exactly solved. The calculation of the probability density inside the barrier proves that the tunnelling dynamics is determined not only by the transmitted and reflected waves but also by their...

Find SimilarView on arXiv

A General Scenario of Tunneling Time in Different Energy Regimes

May 19, 2022

87% Match
Sheng-Chang Li
Quantum Physics

We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative incident energy of the wave packet, counterintuitively, the tunneling time decreases very rapidly with decreasing incident velocity. In contrast, for positive incident energy smaller than the barrier height, the tunneling time increases slowly...

Find SimilarView on arXiv

Time scale of forerunners in quantum tunneling

June 4, 2002

87% Match
G. Garcia-Calderon, Jorge Villavicencio, ... , Muga J. G.
Quantum Physics

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 association is true for distances which are larger than the penetration lenght, for smaller distances the forerunner is dominated by under-the-barrier components. We find that its characteristic arrival time is inversely proportional to th...

Find SimilarView on arXiv

Realistic solution to the tunneling time problem

June 24, 2007

87% Match
Wang Guowen
Quantum Physics

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 explanation of quantum mechanics. The explanation implies that the tunneling particle has a certain chance to borrow enough energy from self-interference to high-jump over the barrier. The root-mean-square velocity and the effective tunneling time of...

Find SimilarView on arXiv

A Time Dependent Version of the Quantum WKB Approximation

August 3, 2006

87% Match
Paul Bracken
Mathematical Physics

The phenomenon of quantum tunneling is reviewed and an overview of applying approximate methods for studying this effect is given. An approach to a time-dependent formalism is proposed in one dimension and generalized to higher dimensions. Some physical examples involving the resulting wavefunction which is determined are presented.

Find SimilarView on arXiv

Tunneling time in attosecond experiments and time-energy uncertainty relation

May 13, 2015

86% Match
Ossama Kullie
Quantum Physics

In this work we present a theoretical model supported with a physical reasoning leading to a relation which performs an excellent estimation for the tunneling time in attosecond and strong field experiments, where we address the important case of the He-atom \cite{Eckle:2008s,Eckle:2008}. Our tunneling time estimation is found by utilizing the time-energy uncertainty relation and represents a quantum clock. The tunneling time is also featured as the time of passage (at the ex...

Find SimilarView on arXiv

Quantum tunneling time

March 1, 2004

86% Match
P. C. W. Davies
Quantum Physics

A simple model of a quantum clock is applied to the old and controversial problem of how long a particle takes to tunnel through a quantum barrier. The model I employ has the advantage of yielding sensible results for energy eigenstates, and does not require the use of time-dependant wave packets. Although the treatment does not forbid superluminal tunneling velocities, there is no implication of faster-than-light signaling because only the transit duration is measurable, not...

Find SimilarView on arXiv

Time problem in quantum mechanics and its analysis by the concept of weak measurement

September 1, 2004

86% Match
J. Ruseckas, B. Kaulakys
Quantum Physics

The model of weak measurements is applied to various problems, related to the time problem in quantum mechanics. The review and generalization of the theoretical analysis of the time problem in quantum mechanics based on the concept of weak measurements are presented. A question of the time interval the system spends in the specified state, when the final state of the system is given, is raised. Using the concept of weak measurements the expression for such time is obtained. ...

Find SimilarView on arXiv