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The influences of optical fields on the tunneling time in graphene are investigated in real time using the finite-difference time-domain method. The tunneling time of electrons irradiated by an optical field is significantly different from…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jiang-Tao Liu , Fu-Hai Su , Hai Wang , Xin-Hua Deng

A unified approach to the time analysis of tunnelling of nonrelativistic particles is presented, in which Time is regarded as a quantum-mechanical observable, canonically conjugated to Energy. The validity of the Hartman effect…

Quantum Physics · Physics 2009-11-07 Vladislav S. Olkhovsky , Erasmo Recami , Jacek Jakiel

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function…

Quantum Physics · Physics 2009-10-31 Ken-Ichi Aoki , Atsushi Horikoshi , Etsuko Nakamura

Motivated by recent experimental implementations of artificial gauge fields for gases of cold atoms, we study the scattering properties of particles that are subjected to time-periodic Hamiltonians. Making use of Floquet theory, we focus on…

Quantum Gases · Physics 2015-03-12 Thomas Bilitewski , Nigel R. Cooper

We analyze the effects of inelastic scattering on the tunneling time theoretically, using generalized Nelson's quantum mechanics. This generalization enables us to describe quantum system with optical potential and channel couplings in a…

Quantum Physics · Physics 2007-05-23 Kentaro Imafuku , Ichiro Ohba , Yoshiya Yamanaka

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…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

Tunneling is one of the most bizarre phenomena in quantum mechanics. An attempt to understand it led to the next natural question of how long does a particle need to tunnel a barrier. The latter gave rise to several definitions such as the…

Quantum Physics · Physics 2017-11-22 N. G. Kelkar

Starting with the equivalence of the rest energy of a particle to an amount of the radiant energy characterized by a frequency, in addition to the usual relativistic transformation rules leading to the wave-particle duality, we investigate…

Quantum Physics · Physics 2007-05-23 D. A. Demir

To model a complex system intrinsically separated by a barrier, we use two random Hamiltonians, coupled to each other either by a tunneling matrix element or by an intermediate transition state. We study that model in the universal limit of…

Quantum Physics · Physics 2024-04-22 H. A. Weidenmüller

Tunnelling transit time for a frustrated total internal reflection in a double-prism experiment was measured using microwave radiation. We have found that the transit time is of the same order of magnitude as the corresponding transit time…

General Physics · Physics 2017-09-27 A. Haibel , G. Nimtz

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

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

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…

Condensed Matter · Physics 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

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…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov et al. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg

We introduce a formalism for the calculation of the time of arrival t at a space point for particles traveling through interacting media. We develop a general formulation that employs quantum canonical transformations from the free to the…

Quantum Physics · Physics 2009-11-06 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

Photon-assisted charge transport through a double barrier structure under a time periodic field in graphene is studied. Within the framework of the Floquet formalism and using the transfer matrix method, the transmission probabilities for…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 H. P. Ojeda-Collado , C. Rodríguez-Castellanos

We construct a new statistical physical model of polymer translocation through a pore in a membrane treated as the diffusion process across a free energy barrier. We determine the translocation time in terms of chain flexibility yielding an…

Soft Condensed Matter · Physics 2015-06-25 W. Sung , P. J. Park

The transmission of wave packets through tunneling barriers is studied in detail by the method of quantum molecular dynamics. The distribution function of the times describing the arrival of a tunneling packet in front of and behind a…

Quantum Physics · Physics 2009-10-31 Yu. Lozovik , A. Filinov