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The phenomenon of quantum tunneling is reviewed and an overview of applying approximate methods for studying this effect is given. An approach to a time-dependent formalism is proposed in one dimension and generalized to higher dimensions.…

数学物理 · 物理学 2010-02-03 Paul Bracken

The decay process of the schematic one-dimensional three-body system is considered. A time-dependent approach is used in combination with a one-dimensional three-body model, which is composed of a heavier core nucleus and two nucleons, with…

核理论 · 物理学 2018-04-12 Tomohiro Oishi , Lorenzo Fortunato

Employing the time-dependent approach, we investigate a quantum tunneling decay of many-particle systems. We apply it to a one-dimensional three-body problem with a heavy core nucleus and two valence protons. We calculate the decay width…

核理论 · 物理学 2015-06-05 Takahito Maruyama , Tomohiro Oishi , Kouichi Hagino , Hiroyuki Sagawa

We are considering the time-dependent transport through a discrete system, consiting of a quantum dot T-coupled to an infinite tight-binding chain. The periodic driving that is induced on the coupling between the dot and the chain, leads to…

The simulation of the time-dependent evolution of the resonant tunneling diode is done by a multiscale algorithm exploiting the existence of resonant states. After revisiting and improving the algorithm developed in [N. Ben Abdallah, O.…

偏微分方程分析 · 数学 2015-06-03 Naoufel Ben Abdallah , Ali Faraj

We present a novel theoretical formulation for performing quantum dynamics in terms of moments within the single-particle description. By expressing the quantum dynamics in terms of increasing orders of moments, instead of single-particle…

化学物理 · 物理学 2024-01-12 Nicholas Boyer , Christopher Shepard , Ruiyi Zhou , Jianhang Xu , Yosuke Kanai

A standard approach to analyzing tunneling processes in various physical contexts is to use instanton or imaginary time path techniques. For systems in which the tunneling takes place in a time dependent setting, the standard methods are…

高能物理 - 理论 · 物理学 2009-10-30 Esko Keski-Vakkuri , Per Kraus

This paper revisited quantum tunneling dynamics through a square double-barrier potential. We emphasized the similarity of tunneling dynamics through double-barrier and that of optical Fabry--P$\acute{e}$rot (FP) interferometer. Based on…

量子物理 · 物理学 2012-10-08 Zhi Xiao , Shi-sen Du , Chun-Xi Zhang

The quantum shutter approach to tunneling time scales (G. Garc\'{\i }a-Calder\'{o}n and A. Rubio, Phys. Rev. A \textbf{55}, 3361 (1997)), which uses a cutoff plane wave as the initial condition, is extended in such a way that a certain type…

量子物理 · 物理学 2016-08-16 Norifumi Yamada , Gastón García-Calderón , Jorge Villavicencio

We present the results of studying the influence of different environmental states on the coherence of quantum processes. We choose to discuss a simple model which describe two electronic reservoirs connected through tunneling via a…

凝聚态物理 · 物理学 2009-10-28 Ping Ao , Staffan Grundberg , Jørgen Rammer

We introduce a new class of quantum models with time-dependent Hamiltonians of a special scaling form. By using a couple of time-dependent unitary transformations, the time evolution of these models is expressed in terms of related systems…

量子物理 · 物理学 2009-11-07 L. Samaj

Time evolution of tunneling phenomena proceeding in thermal medium is studied using a standard model of environment interaction. A semiclassical probability formula for the particle motion in a metastable state of one dimensional system put…

高能物理 - 唯象学 · 物理学 2009-11-10 Sh. Matsumoto , M. Yoshimura

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet…

介观与纳米尺度物理 · 物理学 2025-09-10 Jan Mathis Giesen , Daniel Weber , Sebastian Eggert

Resonant tunnelling is studied numerically and analytically with the help of a three-well quantum one-dimensional time-independent model. The simplest cases are considered where the three-well potential is polynomial or piecewise constant.

量子物理 · 物理学 2015-06-05 Jérémy Le Deunff , Olivier Brodier , Amaury Mouchet

In this work we present a theoretical model supported with a physical reasoning leading to a relation which performs an excellent estimation for the tunneling time in attosecond and strong field experiments, where we address the important…

量子物理 · 物理学 2015-12-02 Ossama Kullie

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

量子物理 · 物理学 2009-02-05 B. I. Ivlev

The dynamics of two-level systems in time-dependent backgrounds is under consideration. We present some new exact solutions in special backgrounds decaying in time. On the other hand, following ideas of Feynman, Vernon and Hellwarth, we…

量子物理 · 物理学 2008-11-26 V. G. Bagrov , J. C. A. Barata , D. M. Gitman , W. F. Wreszinski

We study the dynamics of multi-dimensional quantum tunneling by introducing a complex absorbing potential to a two-dimensional model for spontaneous fission. We fist diagonalize the Hamiltonian with the complex potential to determine a…

核理论 · 物理学 2015-06-23 Guillaume Scamps , Kouichi Hagino

The complex-time method for quantum tunneling is studied. In one-dimensional quantum mechanics, we construct a reduction formula for a Green function in the number of turning points based on the WKB approximation. This formula yields a…

高能物理 - 理论 · 物理学 2010-11-01 Hideaki Aoyama , Toshiyuki Harano

Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent…

量子物理 · 物理学 2007-05-23 Tobias Kramer , Marcos Moshinsky
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