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Dynamical tunnelling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunnelling process is governed by nonlinear resonances that manifest within the regular…

量子物理 · 物理学 2007-05-23 Amaury Mouchet , Christopher Eltschka , Peter Schlagheck

We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the…

混沌动力学 · 物理学 2010-03-18 Steffen Löck , Arnd Bäcker , Roland Ketzmerick , Peter Schlagheck

We present evidence that nonlinear resonances govern the tunneling process between symmetry-related islands of regular motion in mixed regular-chaotic systems.In a similar way as for near-integrable tunneling, such resonances induce…

混沌动力学 · 物理学 2009-11-10 Christopher Eltschka , Peter Schlagheck

In the presence of a complex classical dynamics associated with a mixed phase space, a quantum wave function can tunnel between two stable islands through the chaotic sea, an effect that has no classical counterpart. This phenomenon,…

量子物理 · 物理学 2016-10-17 R. Dubertrand , J. Billy , D. Guéry-Odelin , B. Georgeot , G. Lemarié

We show that the pattern of tunnelling rates can display a vivid and regular pattern when the classical dynamics is of mixed chaotic/regular type. We consider the situation in which the dominant tunnelling route connects to a stable…

chao-dyn · 物理学 2009-10-31 Stephen C. Creagh , Niall D. Whelan

We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic symmetric double wells. The theory is based on…

chao-dyn · 物理学 2009-01-23 Stephen C. Creagh , Niall D. Whelan

We consider dynamical tunneling between two symmetry-related regular islands that are separated in phase space by a chaotic sea. Such tunneling processes are dominantly governed by nonlinear resonances, which induce a coupling mechanism…

混沌动力学 · 物理学 2015-06-26 Peter Schlagheck , Christopher Eltschka , Denis Ullmo

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…

混沌动力学 · 物理学 2015-06-26 Olivier Brodier , Peter Schlagheck , Denis Ullmo

Quantum tunneling in the presence of chaos is analyzed, focusing especially on the interplay between quantum tunneling and dynamical localization. We observed flooding of potentially existing tunneling amplitude by adding noise to the…

混沌动力学 · 物理学 2009-10-09 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

We develop a quantitative semiclassical theory for the resosnant tunneling through a quantum well in a tilted magnetic field. It is shown, that in the leading semiclassical approximation the tunneling current depends only on periodic orbits…

介观与纳米尺度物理 · 物理学 2009-10-31 E. E. Narimanov , A. D. Stone

We study the interplay between coherent transport by tunneling and diffusive transport through classically chaotic phase-space regions, as it is reflected in the Floquet spectrum of the periodically driven quartic double well. The tunnel…

chao-dyn · 物理学 2009-10-22 R. Utermann , T. Dittrich , P. Hanggi

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes…

混沌动力学 · 物理学 2007-07-31 Srihari Keshavamurthy

We consider the problem of a semiclassical description of quantum chaotic transport, when a tunnel barrier is present in one of the leads. Using a semiclassical approach formulated in terms of a matrix model, we obtain transport moments as…

混沌动力学 · 物理学 2022-07-06 Pedro H. S. Bento , Marcel Novaes

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 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…

统计力学 · 物理学 2009-10-31 Joachim Ankerhold , Hermann Grabert

A simple example of quantum transport in a classically chaotic system is studied. It consists in a single state lying on a regular island (a stable primary resonance island) which may tunnel into a chaotic sea and further escape to infinity…

chao-dyn · 物理学 2009-10-30 Jakub Zakrzewski , Dominique Delande , Andreas Buchleitner

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…

量子物理 · 物理学 2020-12-30 L. Aragon-Muñoz , G. Chacon-Acosta , H. Hernandez-Hernandez

We study tunneling in various shaped, closed, two-dimensional, flat potential, double wells by calculating the energy splitting between symmetric and anti-symmetric state pairs. For shapes that have regular or nearly regular classical…

量子物理 · 物理学 2016-12-21 Louis M. Pecora , Hoshik Lee , Dong-Ho Wu

We investigate the semiclassical mechanism of tunneling process in non-integrable systems. The significant role of complex-phase-space chaos in the description of the tunneling process is elucidated by studying a simple scattering map…

混沌动力学 · 物理学 2009-11-10 T. Onishi , A. Shudo , K. S. Ikeda , K. Takahashi

We study the influence of a tunnel barrier on the quantum transport through a circular cavity. Our analysis in terms of classical trajectories shows that the semiclassical approaches developed for ballistic transport can be adapted to deal…

介观与纳米尺度物理 · 物理学 2009-10-25 Markus Schreier , Klaus Richter , Gert-Ludwig Ingold , Rodolfo A. Jalabert
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