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The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied.…

Quantum Physics · Physics 2007-05-23 Boris Ivlev

Electron tunneling between quantum Hall systems on the same two dimensional plane separated by a narrow barrier is studied. We show that in the limit where inelastic scattering time is much longer than the tunneling time, which can be…

Condensed Matter · Physics 2009-10-22 Tin-Lun Ho

The periodic bounce configurations responsible for quantum tunneling are obtained explicitly and are extended to the finite energy case for minisuperspace models of the Universe. As a common feature of the tunneling models at finite energy…

High Energy Physics - Theory · Physics 2016-08-15 J. -Q. Liang , H. J. W. Müller-Kirsten , Y. -B. Zhang , A. V. Shurgaia , S. -P. Kou , D. K. Park

We consider the decay of vortices trapped in the false vacuum of a theory of scalar electrodynamics in 2+1 dimensions. The potential is inspired by models with intermediate symmetry breaking to a metastable vacuum that completely breaks a…

High Energy Physics - Theory · Physics 2015-06-16 Bum-Hoon Lee , Wonwoo Lee , Richard MacKenzie , M. B. Paranjape , U. A. Yajnik , Dong-han Yeom

Tunneling of fractionally charged quasi-particles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Elad Shopen , Yuval Gefen , Yigal Meir

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

The tunneling rate, with exact prefactor, is calculated to first order in $\hbar$ for an empty closed Friedmann-Robertson-Walker (FRW) universe with decaying cosmological term $\Lambda \sim R^{-m}$ ($R$ is the scale factor and $m$ is a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. A. Jafarizadeh , F. Darabi , A. Rezaei-Aghdam , A. R. Rastegar

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…

Quantum Physics · Physics 2022-09-07 Sheng-Chang Li

We derive a semiclassical formula for the tunneling current of electrons trapped in a potential well which can tunnel into and across a wide quantum well. The calculations idealize an experimental situation where a strong magnetic field…

Condensed Matter · Physics 2009-10-31 E. B. Bogomolny , D. C. Rouben

It is shown that in a structure consisting of a superconducting ring-shaped electrode overlapped by a normal metal contact through a thin oxide barrier, measurements of the tunnel current in magnetic field can probe persistent currents in…

Superconductivity · Physics 2009-04-07 K. Yu. Arutyunov , T. T. Hongisto , D. Y. Vodolazov

The influence of quantum fluctuations on electron transport through small metallic islands with Coulomb blockade effects is studied beyond the perturbative regime. In tunnel junctions with low resistance higher order coherent processes and…

Condensed Matter · Physics 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön

Quantum tunneling is a quantum phenomenon in which a microscopic object crosses through a potential barrier even if its energy cannot overcome the barrier. A general belief is that tunneling occurs only when the barrier width is comparable…

Quantum Physics · Physics 2025-01-07 Yuan-Xing Yang , Si-Yuan Bai , Jun-Hong An

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

This is an analysis of some aspects of an old but still controversial topic, superluminal quantum tunneling. Some features of quantum tunneling described in literature, such as definition of the tunneling time and a frequency range of a…

Quantum Physics · Physics 2020-09-15 Moses Fayngold

Quantum mechanics makes the otherwise stable vacua of a theory metastable through the nucleation of bubbles of the new vacuum. This in turn causes a first order phase transition. These cosmological phase transitions may have played an…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Ali Masoumi , Ken D. Olum , Jeremy M. Wachter

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

We recently investigated the nature of resonant tunnelling in standard scalar Quantum Field Theory, uncovering the conditions required for resonance. It was shown that whereas the homogeneous false vacuum may decay via bubble nucleation, it…

High Energy Physics - Theory · Physics 2014-11-18 Paul M. Saffin , Antonio Padilla , Edmund J. Copeland

In nonrelativistic approximation one-dimensional motion of Sommerfeld sphere in the case of potential barrier is numerically investigated. The effect of classical tunneling is confirmed once more - Sommerfeld sphere overcomes the barrier…

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

The time dependent density matrix of a system with potential barrier is studied using path integrals. The characterization of the initial state, which is assumed to be restricted to one side of the barrier, and the time evolution of the…

Statistical Mechanics · Physics 2009-10-31 Joachim Ankerhold , Hermann Grabert

It was recently shown that tunneling wavefunction proposal is consistent with loop quantum geometry corrections including both holonomy and inverse scale factor corrections in the gravitational part of a spatially closed isotropic model…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Meysam Motaharfar , Parampreet Singh