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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 consider the analytically solvable model of a Gaussian pulse tunneling through a transmission resonance with a Breit-Wigner characteristic. The solution allows for the identification of two opposite pulse propagation regimes: if the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Ulrich Wulf , V. V. Skalozub

We consider tunneling to the continuum in a multi-dimensional potential. It is demonstrate that this problem can be treated as two separate problems: a) a bound state and b) a non-resonance scattering problem, by a proper splitting of the…

Nuclear Theory · Physics 2016-11-23 S. A. Gurvitz

The general and explicit relation between the phase time and the dwell time for quantum tunneling of a relativistically propagating particle is investigated and quantified. In analogy with previously obtained non-relativistic results, it is…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

In this review (in Italian) we critically and detaily examine various definitions existing in the literature for the tunnelling times: namely, the phase-time; the centroid-based times; the Buttiker and Landauer times; the Larmor times; the…

Condensed Matter · Physics 2010-01-31 Giuseppe Privitera , Erasmo Recami , Vladislav S. Olkhovsky

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

Quantum Physics · Physics 2015-06-12 Charis Anastopoulos , Ntina Savvidou

Azbel' has recently carried out a WKB-analysis of the effects of a nonharmonic time-dependent perturbation embedded in an opaque potential barrier. He suggests the existence of three different transmission regimes: direct tunneling,…

Condensed Matter · Physics 2009-10-22 J. A. Støvneng , A. -P. Jauho

A theory is presented for tunneling between compressible regions on the sides of a narrow incompressible Quantum Hall strip. Assuming that electron interactions lead to formation of a Wigner crystal on the edges of the compressible regions,…

Condensed Matter · Physics 2016-08-31 M. B. Hastings , L. S. Levitov

We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase space. A semiclassical description of this…

Chaotic Dynamics · Physics 2015-06-26 Olivier Brodier , Peter Schlagheck , Denis Ullmo

We analyze the dynamical evolution of the resonant tunneling of an ensemble of electrons through a double barrier in the presence of the self-consistent potential created by the charge accumulation in the well. The intrinsic nonlinearity of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Carlo Presilla , Giovanni Jona-Lasinio , Federico Capasso

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

A quantum statistical theory of spin-dependent tunneling through asymmetric magnetic double barrier junctions is presented which describes $both$ ballistic and diffuse tunneling by a single analytical expression. It is evidenced that the…

Materials Science · Physics 2009-11-07 M. Chshiev , D. Stoeffler , A. Vedyayev , K. Ounadjela

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

The extremely small probability of tunneling through an almost classical potential barrier may become not small under the action of the specially adapted non-stationary signal which selects the certain particle energy E_R. For particle…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

Scattering of a Gaussian wavepacket from rectangular potential barriers with increasing widths or heights is studied numerically. It is seen that during a certain time interval the time-evolving transmission probability increases compared…

Quantum Physics · Physics 2015-06-22 H. Karami , S. V. Mousavi

We study non-linear phenomena in double barrier heterostructures. Systems in 3D under the effect of an external magnetic field along the current and 1D systems are analyzed. Non-linearities are reflected in the I-V characteristic curve as…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. S. Rodrigues , E. V. Anda , P. Orellana , F. Claro

The time-dependent barrier passage of an anomalous system-reservoir coupling non-equilibrium open environment is studied where the heat bath is modulated by an external noise. The time-dependent barrier passing probability is obtained…

Chemical Physics · Physics 2012-09-11 Chun-Yang Wang , Jun Huang

In quantum tunnelling, what appears an infinitely fast barrier traversal can be explained in terms of an Aharonov-like weak measurement of the tunnelling time, in which the role of the pointer is played by the particle's own coordinate. A…

Quantum Physics · Physics 2007-05-23 D. Sokolovski

Resonant electronic transmission through graphene-based double barriers (wells) is studied as a function of the incident wave vector, the widths and heights (depths) of the barriers (wells), and the separation between them. Resonant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , P. Vasilopoulos , F. M. Peeters

We developed the theory of elastic electron tunneling through a potential barrier driven by a strong high-frequency electromagnetic field. It is demonstrated that the driven barrier can be considered as a stationary two-barrier potential…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 M. V. Boev , V. M. Kovalev , O. V. Kibis