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Despite quantum tunneling has been studied since the advent of quantum mechanics, the literature appears to contain no simple (textbook) formula for tunneling in generic asymmetric double-well potentials. In the regime of strong…

Quantum Physics · Physics 2012-07-19 Gianluca Rastelli

We investigate a Hamiltonian with radial potential wells and an Aharonov-Bohm vector potential with two poles. Assuming that the potential wells are symmetric, we derive the semi-classical asymptotics of the splitting between the ground and…

Spectral Theory · Mathematics 2024-07-24 Bernard Helffer , Ayman Kachmar

As an application of the polymer quantization scheme, in this work we investigate the one dimensional quantum mechanical tunneling phenomenon from the perspective of polymer representation of a non-relativistic point particle and derive the…

Quantum Physics · Physics 2014-10-14 Durmus Ali Demir , Ozan Sargin

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 provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

An effective Hamiltonian, describing quantum tunneling in ferrimagnetic nanoparticles which includes interactions between the electronic spins of nanoparticle and microscopic environmental spins (like nuclear spins or paramagnetic…

Condensed Matter · Physics 2009-10-30 I. S. Tupitsyn

Using a model of idealized, crossed one-dimensional quantum wires we construct a novel model for a single electron on tunneling-coupled systems of one-dimensional quantum rings. We explore and find that topology can affect the energetics of…

Mesoscale and Nanoscale Physics · Physics 2020-07-07 Colin Riggert , Kieran Mullen

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles,…

We investigate numerically the tunneling effect under influence of another particle in a double well system. Such influence from only one degree of freedom makes decoherence and quantum-classical transition, i.e., suppression of the…

Quantum Physics · Physics 2007-05-23 Quanlin Jie , Bambi Hu , Guangjong Dong

A simple model is considered to study the effects of finite size and internal structure in the tunneling of bound two-body systems through a potential barrier. It is demonstrated that these effects are able to increase the tunneling…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum , V. G. Zelevinsky

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

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

In this paper we investigate the dynamics of the quantum Zeno subspaces which are the eigenspaces of the interaction Hamiltonian, belonging to different eigenvalues. Using the perturbation theory and the adiabatic approximation, we get a…

Quantum Physics · Physics 2009-11-10 Yi-Xin Chen , Zhuowen Fang

We study the quantum tunnel effect through a potential barrier employing a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution…

Quantum Physics · Physics 2020-12-30 L. Aragon-Muñoz , G. Chacon-Acosta , H. Hernandez-Hernandez

We investigate the quantum Zeno and anti-Zeno effects for the irreversible quantum tunneling from a quantum dot to a ring array of quantum dots. By modeling the total system with the Anderson-Fano-Lee model, it is found that the transition…

Quantum Physics · Physics 2009-11-13 Lan Zhou , F. M. Hu , Jing Lu , C. P. Sun

We investigate how quantum decoherence influences the tunneling dynamics of quantum fields in cosmological spacetimes. Specifically, we study a scalar field in an asymmetric double-well potential during inflation, coupled to environmental…

High Energy Physics - Theory · Physics 2026-03-13 Robson Christie , Jaewoo Joo , Greg Kaplanek , Vincent Vennin , David Wands

Quantum tunneling is the quantum-mechanical effect where a particle tunnels through a classically forbidden region. Double Square Well Potential (DSWP) is a system where this phenomenon is feasible. Numerous phenomena can be illustrated by…

Quantum Physics · Physics 2015-06-16 S. T. Tserkis , Ch. C. Moustakidis , S. E. Massen , C. P. Panos

Within quantum mechanics which works with parity-pseudo-Hermitian Hamiltonians we study the tunneling in a symmetric double well formed by two delta functions with complex conjugate strengths. The model is exactly solvable and exhibits…

Quantum Physics · Physics 2009-11-10 Miloslav Znojil

Quantum tunneling is a fundamental quantum mechanical effect involved in plenty of physical phenomena. Its control would impact these phenomena and the technologies based on them. We show that the quantum tunneling probability through a…

Quantum Physics · Physics 2022-08-17 Miguel A. Porras , Nilo Mata , Isabel Gonzalo

We investigate the behavior of spin polarized currents in two-dimensional topological insulators (TI). Stationary solutions inside a HgTe/CdTe quantum well (QW) were obtained by Bernevig-Hughes-Zhang (BHZ) model modified by a electric and…

Mesoscale and Nanoscale Physics · Physics 2018-01-01 Davidson R. Viana , Thiago M. Melo , Jakson M. Fonseca , Daniel S. Souza , Winder A. Moura-Melo , Afranio R. Pereira
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