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We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary…

Quantum Physics · Physics 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal

The influence of the phases of tunneling matrix elements on the rate of the elastic co--tunneling at an ultrasmall normal--conducting double--junction is studied in a simple quantum--hole approach at zero temperature. The results are…

Condensed Matter · Physics 2009-10-22 Heinz-Olaf Muller , Andreas Hadicke , Wolfram Krech

The epsilon-near-zero (ENZ) tunneling phenomenon allows full transmission of waves through a narrow channel even in the presence of a strong geometric mismatch. Here we experimentally demonstrate nonlinear control of the ENZ tunneling by an…

The influence of a magnetic field on the tunneling of an electron out of a confining plane is studied by a path integral method. We map this 3-d problem on to a 1-d one, and find that the tunneling is strongly affected by the field. Without…

Condensed Matter · Physics 2009-10-22 Ping Ao

We investigate potential scattering and tunneling dynamics of a particle wavepacket evolving according to the relativistic Schr\"odinger equation (also known as the Salpeter equation). The tunneling properties of the Salpeter equation…

Quantum Physics · Physics 2024-12-09 F. Daem , A. Matzkin

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

Strongly Correlated Electrons · Physics 2021-01-15 Matthew J. P. Hodgson , James D. Ramsden , Jacob B. J. Chapman , Piers Lillystone , Rex W Godby

In this work we discuss the combined effects of finite-range electron-electron interaction and finite-range tunneling on the transport properties of ultrasmall tunnel junctions. We show that the Coulomb blockade phenomenon is deeply…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 E. Perfetto

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

One of the long-standing goals of quantum transport is to use the noise, rather than the average current, for information processing. However, achieving this requires on-demand control of quantum fluctuations in the electric current. In…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Nicholas S. Davis , Samuel L. Rudge , Daniel S. Kosov

In a two dimensional free electron gas (2DEG) subjected to a perpendicular spatially varying magnetic field, the classical paths of electrons are snake-like trajectories that weave along the line where the field crosses zero. But quantum…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Pervez Hoodbhoy

One of the most fundamental difference between classical and quantum mechanics is observed in the particle tunneling through a localized potential: the former predicts a discontinuous transmission coefficient ($T$) as a function in incident…

Quantum Gases · Physics 2015-06-05 Ching-Hao Wang , Tzay-Ming Hong , Ray-Kuang Lee , Daw-Wei Wang

We describe electron transport through small metallic grains with Coulomb blockade effects beyond the perturbative regime. For this purpose we study the real-time evolution of the reduced density matrix of the system. In the first part of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. S. Golubev , Jürgen König , Herbert Schoeller , Gerd Schön , A. D. Zaikin

It is shown that a single molecular magnet placed in a rapidly oscillating magnetic field displays the phenomenon of quenching of tunneling processes. The results open a way to manipulate the quantum states of molecular magnets by means of…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 María José Santander , Alvaro S. Nunez , A. Roldán-Molina , Roberto E. Troncoso

We propose an asymmetric double quantum well structure with a common continuum and investigate the effect of resonant tunneling on the control of coherent electron population transfer between the two quantum wells. By numerically solving…

Quantum Physics · Physics 2009-12-22 Ni Cui , Yueping Niu , Shangqing Gong

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jędrzej Tepper , Józef Barnaś

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In…

Chaotic Dynamics · Physics 2008-07-10 D. Hennig , L. Schimansky-Geier , P. Hänggi

Quantum tunneling, a phenomenon which has no counterpart in classical physics, is the quantum-mechanical process by which a microscopic particle can transition through a potential barrier even when the energy of the incident particle is…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Raul J. Martin-Palma

A simple example of especially constructed potential barrier enables to show analytically (not numerically) the existence of tunneling effect for a Sommerfeld particle.

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

In the deformed quantum mechanics with a minimal length, one WKB connection formula through a turning point is derived. We then use it to calculate tunnelling rates through potential barriers under the WKB approximation. Finally, the…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Xiaobo Guo , Bochen Lv , Jun Tao , Peng Wang

We consider a particle bound to a two-dimensional plane and a double well potential, subject to a perpendicular uniform magnetic field . The energy difference between the lowest two eigenvalues--the eigenvalue splitting--is related to the…

Mathematical Physics · Physics 2022-01-25 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein