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Related papers: Dynamical tunneling across the separatrix

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Instanton theory has arisen as a practical tool for calculating tunneling splittings in molecular systems. Unfortunately, the original formulation of instanton theory fundamentally breaks down when trying to calculate the level splitting in…

Chemical Physics · Physics 2025-10-31 Marit R. Fiechter , Gabriel Laude , Jeremy O. Richardson

Based on the general form of the master equation for open quantum systems the tunneling is considered. Using the path integral technique a simple closed form expression for the tunneling rate through a parabolic barrier is obtained. The…

Condensed Matter · Physics 2009-10-30 G. G. Adamian , N. V. Antonenko , W. Scheid

The existence of quantum tunneling opens the possibility of a sudden spatial relocalization of a system after a minor modification of its parameters. Such a quantum analogue of the Thom's classical catastrophe would manifest itself,…

Quantum Physics · Physics 2021-05-12 Miloslav Znojil

Electron tunneling through small metallic islands with low capacitance is studied. The large charging energy in these systems is responsible for nonperturbative Coulomb blockade effects. We further consider the effect of electron…

Condensed Matter · Physics 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön , Rosario Fazio

We report the first experimental observation of the resonance-assisted dynamical tunneling (RADT) in the inter-mode interaction in an asymmetric-deformed microcavity. A selection rule for strong inter-mode coupling induced by RADT was…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Hojeong Kwak , Younghoon Shin , Songky Moon , Kyungwon An

We discuss quantum tunneling between classically BPS saturated solitons in two-dimensional theories with N=2 supersymmetry and a compact space dimension. Genuine BPS states form shortened multiplets of dimension two. In the models we…

High Energy Physics - Theory · Physics 2009-10-31 D. Binosi , M. Shifman , T. ter Veldhuis

Motivated by the possibility of a string landscape, we reexamine tunneling of a scalar field across single/multiple barriers. Recent investigations have suggested modifications to the usual picture of false vacuum decay that lead to…

High Energy Physics - Theory · Physics 2009-03-12 Sash Sarangi , Gary Shiu , Benjamin Shlaer

We revisit the path integral description of quantum tunneling and lay the groundwork for its generalization to excites states through real-time path integral techniques. For clarity, we focus on the simple toy model of a point particle in a…

High Energy Physics - Theory · Physics 2025-07-30 Thomas Steingasser , David I. Kaiser

We investigate dynamical tunneling in many dimensional systems using a quasi-periodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become…

Chaotic Dynamics · Physics 2010-06-04 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

Quantum tunneling is a phenomenon of non-equilibrium quantum dynamics and its detailed process is largely unexplored. We report the experimental observation of macroscopic quantum tunneling of Bose-Einstein Condensate in a hybrid trap. By…

Quantum Gases · Physics 2020-06-02 Khemendra Shukla , Po-Sung Chen , Jun-Ren Chen , Yu-Hsuan Chang , Yi-Wei Liu

In the tight binding model with multiple degenerate vacua we might treat wave function overlaps as instanton tunnelings between different wells (vacua). An amplitude for such a tunneling process might be constructed as $\mathsf{T}_{i\to…

High Energy Physics - Theory · Physics 2025-05-22 Dmitry Galakhov , Alexei Morozov

An explicit expression is obtained for the phase-time corresponding to tunneling of a (non-relativistic) particle through two rectangular barriers, both in the case of resonant and in the case of non-resonant tunneling. It is shown that the…

Quantum Physics · Physics 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

We study resonant tunneling through quantum-dot systems in the presence of strong Coulomb repulsion and coupling to the metallic leads. Motivated by recent experiments we concentrate on (i) a single dot with two energy levels and (ii) a…

Condensed Matter · Physics 2009-10-28 T. Pohjola , J. König , M. M. Salomaa , J. Schmid , H. Schoeller , Gerd Schön

When a three-level quantum system is irradiated by an intense coupling field resonant with one of the three possible transitions, the absorption peak of an additional probe field involving the remaining level is split. This process is known…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Mika A. Sillanpää , Jian Li , Katarina Cicak , Fabio Altomare , Jae I. Park , Raymond W. Simmonds , G. S. Paraoanu , Pertti J. Hakonen

By using techniques developed in quantum cosmology, it is found that a tunneling particle spends purely imaginary time on a barrier region. The {\it imaginary} time is associated with the stochastic acausal behaviour of a state, while the…

Quantum Physics · Physics 2008-04-03 Zhong Chao Wu

We present explicit kinetic equations for quantum transport through a general molecular quantum-dot, accounting for all contributions up to 4th order perturbation theory in the tunneling Hamiltonian and the complete molecular density…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Leijnse , M. R. Wegewijs

Motivated by recent realizations of qubits with a readout by macroscopic quantum tunneling in a Josephson junction, we study the problem of barrier penetration in presence of coupling to a spin-${1\over 2}$ system. It is shown that when the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Joachim Ankerhold , Hermann Grabert

The intermediate domain of strong-field ionization between the tunneling and the multiphoton regimes is investigated using the strong field approximation and the imaginary-time method. An intuitive model for the dynamics is developed which…

Quantum Physics · Physics 2015-06-22 M. Klaiber , K. Z. Hatsagortsyan , C. H. Keitel

We investigate the efficient free-space excitation of high-Q resonance modes in deformed microcavities via dynamical tunneling-assisted coupling. A quantum scattering theory is employed to study the free-space transmission properties, and…

Optics · Physics 2013-08-14 Qi-Fan Yang , Xue-Feng Jiang , Ya-Long Cui , Linbo Shao , Yun-Feng Xiao

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen
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