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The mechanism of superluminal traversal time through a potential well or potential barrier is investigated from the viewpoint of interference between multiple finite wave packets, due to the multiple reflections inside the well or barrier.…

Quantum Physics · Physics 2009-03-30 Xi Chen , Chun-Fang Li

We investigate the transmissions of fermions through gapped graphene structures by employing a combination of double barrier tilting and a time-oscillating potential. The latter introduces additional sidebands into the transmission…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Miloud Mekkaoui , Ahmed Jellal , Abderrahim El Mouhafid

We derive an analytical expression for the transition path time (TPT) distribution for a one-dimensional particle crossing a parabolic barrier. The solution is expressed in terms of the eigenfunctions and eigenvalues of the associated…

Statistical Mechanics · Physics 2018-12-10 Michele Caraglio , Stefanie Put , Enrico Carlon , Carlo Vanderzande

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

Quantum Physics · Physics 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

We employ a recently-developed transfer-matrix formulation of scattering theory in two dimensions to study a class of scattering setups modeled by real potentials. The transfer matrix for these potentials is related to the time-evolution…

Quantum Physics · Physics 2022-04-12 Farhang Loran , Ali Mostafazadeh

The scattering of quantum particles by non-hermitian (generally nonlocal) potentials in one dimension may result in asymmetric transmission and/or reflection from left and right incidence. Eight generalized symmetries based on the discrete…

Quantum Physics · Physics 2018-01-17 A. Ruschhaupt , T. Dowdall , M. A. Simón , J. G. Muga

We develop a new computational tool and framework for characterizing the scattering of photons by energy-nonconserving Hamiltonians into unidirectional (chiral) waveguides, for example, with coherent pulsed excitation. The temporal…

Quantum Physics · Physics 2018-05-30 Kevin A. Fischer , Rahul Trivedi , Vinay Ramasesh , Irfan Siddiqi , Jelena Vučković

We study the total transmission of quantum particles satisfying the Klein-Gordon equation through a potential barrier based on the classical wave propagation theory. We deduce an analytical expression for the wave impedance for Klein-Gordon…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 Kihong Kim

Particles confined to a single file, in a narrow quasi-one dimensional channel, exhibit a dynamic crossover from single file diffusion to Fickian diffusion as the channel radius increases and the particles can begin to pass each other. The…

Soft Condensed Matter · Physics 2017-04-27 Sheida Ahmadi , Richard K. Bowles

Crossing symmetry asserts that particles are indistinguishable from anti-particles traveling back in time. In quantum field theory, this statement translates to the long-standing conjecture that probabilities for observing the two scenarios…

High Energy Physics - Theory · Physics 2021-08-05 Sebastian Mizera

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

Quantum Physics · Physics 2020-09-24 Farhang Loran , Ali Mostafazadeh

On the basis of quant-ph/0405028 we define the Larmor times for transmission and reflection. These times are valid both for the stationary and time-dependent scattering processes, without any restrictions on the shape of Gaussian-like wave…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We study the elastic scattering of slow electrons by two-atomic molecule in the frame of non-overlapping atomic potentials model. The molecular continuum wave function is represented as a combination of a plane wave and two spherical…

Chemical Physics · Physics 2021-02-03 M. Ya. Amusia , A. S. Baltenkov

The phase time in quantum tunneling can be disentangled into a dwell time plus a term arising due to the interference of the reflected and incident waves in front of the barrier. The interference term dominates at low energies and as E -->…

High Energy Physics - Phenomenology · Physics 2010-11-05 N. G. Kelkar

We investigate simple one-dimensional driven diffusive systems with open boundaries. We are interested in the average on-site residence time defined as the time a particle spends on a given site before moving on to the next site. Using…

Biological Physics · Physics 2016-01-20 Joris J. B. Messelink , Robbie Rens , Mahsa Vahabi , Fred C. MacKintosh , Abhinav Sharma

We study the unconventional transmission properties of a wave-packet through a PT-symmetric potential region, as describing actual electromagnetic wave propagation along a waveguide filled with gain and loss media. The non-trivial behavior…

Quantum Physics · Physics 2017-10-03 M. Di Mauro , S. Esposito , A. Naddeo

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

Although many physical arguments account for using a modified definition of time delay in multichannel-type scattering processes, one can hardly find rigorous results on that issue in the literature. We try to fill in this gap by showing,…

Mathematical Physics · Physics 2009-11-11 Rafael Tiedra de Aldecoa

Characteristic features of tunneling times for dissipative tunneling of a particle through a rectangular barrier are studied within a semiclassical model involving dissipation in the form of a velocity dependent frictional force. The…

Quantum Physics · Physics 2017-05-15 N. G. Kelkar , D. Lozano Gómez , Edgar J. Patiño