Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Nonadiabatic tunneling in the presence of an oscillating field

M. Martin, R. Lefèbvre, Osman Atabek

Published Jun 17, 2002• 4 citations
Publisher

Abstract

Nonadiabatic tunneling is an effect occurring when two potentials are crossing each other with opposite slopes. It is characterized by the vanishing of the transmission probability at a set of energies (or nodes) that can be identified as the resonance energies of the system. We investigate the modification of this probability induced by the interaction of the particle with an oscillating field. The main result of this study is the presence of additional dips in the transmissivity, representing replicas of the nodal structure. They are due to processes implying an absorption (or emission) followed by an emission (or absorption) of one or even more than one quantum.

DOI
10.1103/physreva.65.062714

Related papers

Transfer-matrix formulation of field-assisted tunneling

C. Pérez del Valle, R. Lefèbvre, Osman Atabek

A transfer-matrix technique is formulated to treat the scattering of a particle incident on a piecewise constant potential and interacting with an oscillatory field. A study of tunneling through a single barrier shows in the transmission probabilities, for absorption or emission of quanta from the field, replicas below the barrier of the overbarrier field-free transmissivity, with its resonant structure. In the case of resonant tunneling through a double barrier, an appropriate choice of parameters gives evidence for a change in the regime, with inhibition of transmission at a resonance energy of the intermediate well when the period of the field approaches the lifetime of the resonant state. The technique can be extended to treat scattering of a particle by more general potentials in the presence of an oscillatory perturbation. As an illustrative example, the transmissivity as a function of a bias potential in a double-barrier structure is calculated.

Physical Review A•May 1, 1999•30 citations

Localization of energy exchanges in field-assisted double-barrier resonant tunnelling: II. The two-level case

C Pérez del Valle, R. Lefèbvre, Osman Atabek

We examine the transmissivity through a double-barrier potential with two resonances present in the intermediate well. The particle interacts with an oscillating field. Satellites are produced when the particle needs to emit or absorb one or more quanta of the field to reach the resonant energy which favours transmissivity. We show that as the frequency of the field goes from an off-resonance to the resonant situation, where there is matching with the energy separation of the well levels, the discontinuities responsible for the energy exchanges are first the most external ones, but finally the most internal ones. We also conclude that, even in the presence of an oscillating field, the propagation within the barriers is well accounted for by free waves.

Journal of Physics B Atomic Molecular and Optical Physics•Mar 14, 2001•1 citation

Kvanttunnling och Resonanstransport i Flerbarriärs-system

Elias Wyss

Quantum tunnelling is a phenomenon in which a particle is able to traverse a potential barrier, even if said particle possesses less energy than the barrier. This process is highly important in many modern fields of physics, such as nuclear physics and semiconductor technology. In this thesis, this phenomenon was presented through analytical study, as well as the derivation of the transmission coefficient in one and three dimensions. Of even greater interest is the phenomenon of resonant tunnelling, where particles tunnel through two or more potential barriers, leading to the formation of quantum wells and quasi-bound energy levels that result in heightened transmission probabilities at certain energies. The transfer matrix method was used in order to find an expression for the resonant tunnelling transmission coefficient in double barrier systems. In addition, a programme was developed in Python in order to investigate resonant tunnelling in different barrier systems. The programme demonstrates how the probability of transmission fluctuates with the energy of the incoming particle, as well as how it is influenced by changes to the framework of the barrier system. Furthermore, effects caused by the inclusion of asymmetry into the system are studied. Finally, the process of spin-dependent tunnelling and the related Rashba spin-orbit coupling were discussed as an extension of the resonant tunnelling phenomenon.

•Jan 1, 2026•0 citations

Nonadiabatic tunnelling: an exactly soluble model

M Martin, L. Sandoval, R. Lefèbvre +1 more

We consider a system described by two coupled diabatic stepwise constant potentials. This model leads to an exact analytical formula for the transmissivity. It is also possible to give an analytical form to the quantization condition defining the resonance energies of the system. We can in this way provide a detailed view of the transmission profile, with its nodes associated with the resonances of the upper adiabatic potential and a barrier-like resonance pattern in the gap between the two adiabatic potentials.

Journal of Physics B Atomic Molecular and Optical Physics•Sep 1, 2000•2 citations

Transmissivity and degeneracy of quasi‐energies

R. Lefèbvre

Abstract We examine the transmissivity through a triple barrier of a particle interacting with an oscillating field. This study is motivated by the well‐documented coherence suppression of tunneling in a double well under the effect of such a field. Since the work of Hänggi and colleagues, it is known that localization of the particle in one of the wells can be correlated with a degeneracy of two quasi‐energies of Floquet theory. When the quasi‐energies are complex, we can at least produce an equality of their real parts. Since the particle meets a double‐well potential on its way, one may expect some effect on the transmission. It is found that there is effectively some significant reduction in the integrated transmission probabilities in the neighborhood of the energy crossing. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

International Journal of Quantum Chemistry•May 4, 2005•0 citations

Simulation Analysis of Factors Affecting the Quantum Tunneling Effect in 1D Double Potential Barriers Structures

Chenyang Liu

The working principle of a large number of modern scientific equipment has been applied to the quantum tunneling effect. Although the explanations for the relevant principles of this effect are clarified, the calculation process is very complex and difficult to understand. Previous studies combine specific applications without theoretical model references. This study adopts the method of using the time-independent Schrodinger equation to solve the wave function, which is more convenient to obtain the expression of transmission probability. Then, one discusses the relationship between transmission probability and potential barrier width, potential barrier spacing, and incident particle energy. The experimental results show that the transmission probability decreases exponentially from 1 to 0 as the potential barrier width gradually increases. As the potential barrier width increases, the transmission probability exhibits a clear periodic oscillation relationship, the oscillation period remains unchanged, and this paper derives the relationship between the oscillation period and the potential barrier width. As the incident energy of particles gradually increases, the transmission probability exhibits periodic changes, and the minimum value of transmission probability increases with the periodic changes. Based on the analysis, the smaller the potential barrier width, the greater the incident energy, and the more likely quantum tunneling occurs.

Highlights in Science Engineering and Technology•Jun 11, 2024•0 citations
Nonadiabatic tunneling is an effect occurring when two potentials are crossing each other with opposite slopes. It is characterized by the vanishing of the transmission probability at a set of energies (or nodes) that can be identified as the resonance energies of the system. We investigate the modification of this probability induced by the interaction of the particle with an oscillating field. The main result of this study is the presence of additional dips in the transmissivity, representing replicas of the nodal structure. They are due to processes implying an absorption (or emission) followed by an emission (or absorption) of one or even more than one quantum.
A transfer-matrix technique is formulated to treat the scattering of a particle incident on a piecewise constant potential and interacting with an oscillatory field. A study of tunneling through a single barrier shows in the transmission probabilities, for absorption or emission of quanta from the field, replicas below the barrier of the overbarrier field-free transmissivity, with its resonant structure. In the case of resonant tunneling through a double barrier, an appropriate choice of parameters gives evidence for a change in the regime, with inhibition of transmission at a resonance energy of the intermediate well when the period of the field approaches the lifetime of the resonant state. The technique can be extended to treat scattering of a particle by more general potentials in the presence of an oscillatory perturbation. As an illustrative example, the transmissivity as a function of a bias potential in a double-barrier structure is calculated.
We examine the transmissivity through a double-barrier potential with two resonances present in the intermediate well. The particle interacts with an oscillating field. Satellites are produced when the particle needs to emit or absorb one or more quanta of the field to reach the resonant energy which favours transmissivity. We show that as the frequency of the field goes from an off-resonance to the resonant situation, where there is matching with the energy separation of the well levels, the discontinuities responsible for the energy exchanges are first the most external ones, but finally the most internal ones. We also conclude that, even in the presence of an oscillating field, the propagation within the barriers is well accounted for by free waves.
Quantum tunnelling is a phenomenon in which a particle is able to traverse a potential barrier, even if said particle possesses less energy than the barrier. This process is highly important in many modern fields of physics, such as nuclear physics and semiconductor technology. In this thesis, this phenomenon was presented through analytical study, as well as the derivation of the transmission coefficient in one and three dimensions. Of even greater interest is the phenomenon of resonant tunnelling, where particles tunnel through two or more potential barriers, leading to the formation of quantum wells and quasi-bound energy levels that result in heightened transmission probabilities at certain energies. The transfer matrix method was used in order to find an expression for the resonant tunnelling transmission coefficient in double barrier systems. In addition, a programme was developed in Python in order to investigate resonant tunnelling in different barrier systems. The programme demonstrates how the probability of transmission fluctuates with the energy of the incoming particle, as well as how it is influenced by changes to the framework of the barrier system. Furthermore, effects caused by the inclusion of asymmetry into the system are studied. Finally, the process of spin-dependent tunnelling and the related Rashba spin-orbit coupling were discussed as an extension of the resonant tunnelling phenomenon.
We consider a system described by two coupled diabatic stepwise constant potentials. This model leads to an exact analytical formula for the transmissivity. It is also possible to give an analytical form to the quantization condition defining the resonance energies of the system. We can in this way provide a detailed view of the transmission profile, with its nodes associated with the resonances of the upper adiabatic potential and a barrier-like resonance pattern in the gap between the two adiabatic potentials.
Abstract We examine the transmissivity through a triple barrier of a particle interacting with an oscillating field. This study is motivated by the well‐documented coherence suppression of tunneling in a double well under the effect of such a field. Since the work of Hänggi and colleagues, it is known that localization of the particle in one of the wells can be correlated with a degeneracy of two quasi‐energies of Floquet theory. When the quasi‐energies are complex, we can at least produce an equality of their real parts. Since the particle meets a double‐well potential on its way, one may expect some effect on the transmission. It is found that there is effectively some significant reduction in the integrated transmission probabilities in the neighborhood of the energy crossing. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005
The working principle of a large number of modern scientific equipment has been applied to the quantum tunneling effect. Although the explanations for the relevant principles of this effect are clarified, the calculation process is very complex and difficult to understand. Previous studies combine specific applications without theoretical model references. This study adopts the method of using the time-independent Schrodinger equation to solve the wave function, which is more convenient to obtain the expression of transmission probability. Then, one discusses the relationship between transmission probability and potential barrier width, potential barrier spacing, and incident particle energy. The experimental results show that the transmission probability decreases exponentially from 1 to 0 as the potential barrier width gradually increases. As the potential barrier width increases, the transmission probability exhibits a clear periodic oscillation relationship, the oscillation period remains unchanged, and this paper derives the relationship between the oscillation period and the potential barrier width. As the incident energy of particles gradually increases, the transmission probability exhibits periodic changes, and the minimum value of transmission probability increases with the periodic changes. Based on the analysis, the smaller the potential barrier width, the greater the incident energy, and the more likely quantum tunneling occurs.