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Inspired by a recent paper$^*$ by C. Fefferman, J. Shapiro and M. Weinstein, we investigate quantum tunneling for a Hamiltonian with a symmetric double well and a uniform magnetic field. In the simultaneous limit of strong magnetic field…

Mathematical Physics · Physics 2023-09-06 B. Helffer , A. Kachmar

We compute tunneling in a quantum field theory in 1+1 dimensions for a field potential $U(\Phi)$ of the asymmetric double well type. The system is localized initially in the ``false vacuum''. We consider the case of a {\em compact space}…

High Energy Physics - Theory · Physics 2008-11-26 J. Baacke , N. Kevlishvili

Traditionally quantum tunneling in a static SQUID is studied on the basis of a classical trajectory in imaginary time under a two-dimensional potential barrier. The trajectory connects a potential well and an outer region crossing their…

Superconductivity · Physics 2015-05-18 B. Ivlev

We present a self-consistent approach to describe ambipolar tunneling in asymmetrical double quantum wells under steady-state excitation and extend the results to the case of tunneling from a near-surface quantum well to surface states. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Carlo Presilla , Valentina Emiliani , Andrea Frova

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 well known that quantum computers are superior to classical computers in efficiently simulating quantum systems. Here we report the first experimental simulation of quantum tunneling through potential barriers, a widespread phenomenon…

Quantum Physics · Physics 2013-10-03 Guan Ru Feng , Yao Lu , Liang Hao , Fei Hao Zhang , Gui Lu Long

A model of nuclear fusion consisting of a wave packet impinging into a well located between square one dimensional barriers is treated analytically. The wave function inside the well is calculated exactly for the assisted tunneling induced…

Nuclear Theory · Physics 2009-10-20 German Kälbermann

We study Floquet engineering of the tunnel coupling between a pair of one-dimensional bosonic quasi-condensates in a tilted double-well potential. By modulating the energy difference between the two wells, we re-establish tunnel coupling…

Quantum tunneling between two potential wells in a magnetic field can be strongly increased when the potential barrier varies in the direction perpendicular to the line connecting the two wells and remains constant along this line. An…

Quantum Physics · Physics 2009-11-11 B. Ivlev

The two-dimensional magnetic Laplacian is considered. We calculate the leading term of the splitting between the first two eigenvalues of the operator in the semiclassical limit under the assumption that the magnetic field does not vanish…

Mathematical Physics · Physics 2025-02-25 Søren Fournais , Yannick Guedes Bonthonneau , Léo Morin , Nicolas Raymond

The macroscopic tunneling of an optomechanical membrane is considered. A cavity mode which couples quadratically to the membranes position can create highly tunable adiabatic double-well potentials, which together with the high Q-factors of…

Quantum Physics · Physics 2012-06-12 L. F. Buchmann , L. Zhang , A. Chiruvelli , P. Meystre

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the…

Quantum Physics · Physics 2015-07-20 Ofir Flom , Asher Yahalom , Haggai Zilberberg , L. P. Horwitz , Jacob Levitan

We investigate the ability of millimetric walking droplets to tunnel between spatially-structured cavities. By synthesizing experimental and theoretical analysis, we provide a comprehensive framework for droplet tunneling mechanics in three…

Mathematical Physics · Physics 2025-12-24 Akilan Sankaran , Diego Israel Chavez

A semiclassical theory is developed and compared to experiments on the tunneling resonance spectrum for a quantum well in magnetic field tilted with respect to the tunneling direction. As the tilt angle is increased from zero the classical…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 E. E. Narimanov , A. Douglas Stone

A new mechanism of tunnelling at macroscopic distances is proposed for a wave packet localized in one-dimensional disordered potential with mirror symmetry, V(-x)=V(x). Unlike quantum tunnelling through a regular potential barrier, which…

Disordered Systems and Neural Networks · Physics 2012-05-15 E. Diez , F. Izrailev , A. A. Krokhin , A. Rodriguez

We propose a selfconsistent microscopic model of vertical sequential tunneling through a multi-quantum well.The model includes a detailed description of the contacts,uses the Transfer Hamiltonian for expressions of the current and it treats…

Condensed Matter · Physics 2009-10-30 Ramon Aguado , Gloria Platero , Miguel Moscoso , Luis L. Bonilla

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here, we report the experimental realization of quantum tunneling of a single particle…

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

The tunneling effect is the most popular phenomenon of quantum physics and is present in modern physical theories. Still, the most important features of this effect are already present in toy models - low dimensional quantum mechanics with…

Quantum Physics · Physics 2013-02-07 Zbigniew Ambrozinski

An infinite well potential containing a rectangular barrier in its center is used to verify if the passage of a quantum particle through the barrier is described by tunnel effect or 'saute-mouton'.

General Physics · Physics 2011-11-29 Antonio Carlos Baptista Antunes , Leila Jorge Antunes
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