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The evolution of the quantum wave packet describing an atom trapped in the surface-tip junction of the scanning tunneling microscope is investigated by using the time-dependent Schroedinger equation, and by a quasi-classical Hamiltonian…

Quantum Physics · Physics 2008-02-21 M. Grigorescu

The dissipative dynamics of a pointlike Josephson junction in binary Bose-condensed mixtures is analyzed within the framework of the model of a tunneling Hamiltonian. The transmission of unlike particles across a junction is described by…

Quantum Gases · Physics 2015-05-27 S. N. Burmistrov

We investigate the correspondence between classical and quantum mechanics for periodically time dependent Hamiltonian systems, using the example of a periodically forced particle in a one-dimensional triangular well potential. In…

Condensed Matter · Physics 2017-11-01 Michael E. Flatté , Martin Holthaus

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.

Quantum Physics · Physics 2015-06-05 Jérémy Le Deunff , Olivier Brodier , Amaury Mouchet

We present a transparent and analytically tractable approach to the problem of time-dependent electron transport through tunneling barriers. Using the Single-Electron Approach, we study a model system composed of a time-dependent tunneling…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Shmuel Gurvitz , Dmitri Sokolovski

Transport properties of single- and two-site mesoscopic quantum Hall (QH) circuits at high transparencies can be described in terms of the lowest-order backscattering processes, enabling a mapping to the boundary sine-Gordon model. We show…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 D. B. Karki

The quantum dissipative dynamics of a tunneling process through double barrier structures is investigated on the basis of a rigorous treatment for the first time. We employ a Caldeira-Leggett Hamiltonian with an effective potential…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 Atsunori Sakurai , Yoshitaka Tanimura

We study quantum transport in ballistic $s_\pm$-wave superconductors where coupling between the two bands is included, and apply our model to three possible probes for detecting the internal phase shift of such a pairing state: tunneling…

Superconductivity · Physics 2009-10-08 Iver Bakken Sperstad , Jacob Linder , Asle Sudbø

We propose a scheme of the exact fast-forwarding of standard quantum dynamics for a charged particle. The present idea allows the acceleration of both the amplitude and phase of the wave function throughout the fast-forward time range and…

Quantum Physics · Physics 2016-02-23 Anvar Khujakulov , Katsuhiro Nakamura

We study the dynamics of a particle tunneling between the ground states of a symmetric double potential well system, in the presence of simultaneous diagonal and non-diagonal couplings to an Ohmic oscillator bath. We use the…

Quantum Physics · Physics 2021-09-21 Leonard Ruocco

We propose an open-boundary molecular dynamics method in which an atomistic system is in contact with an infinite particle reservoir at constant temperature, volume and chemical potential. In practice, following the Hamiltonian adaptive…

Statistical Mechanics · Physics 2020-06-24 Maziar Heidari , Kurt Kremer , Ramin Golestanian , Raffaello Potestio , Robinson Cortes-Huerto

The effective Hamiltonian for two dimensional quantum wells with rough interfaces is formally derived. Two new terms are generated. The first term is identified to the local energy level fluctuations, which was introduced phenomenologically…

Mesoscale and Nanoscale Physics · Physics 2010-11-16 Chung-Yu Mou , Tzay-ming Hong

We consider a two-component linearly-coupled system with the intrinsic cubic nonlinearity and the harmonic-oscillator (HO) confining potential. The system models binary settings in BEC and optics. In the symmetric system, with the HO trap…

Pattern Formation and Solitons · Physics 2021-02-23 Nir Hacker , Boris A. Malomed

We investigate a theoretical model for effective carrier mobility to comprehensively describe the behavior of the perpendicular carrier transport across multiple quantum well (MQW) structures under applied electric field. The analytical…

Materials Science · Physics 2017-11-20 Kasidit Toprasertpong , Stephen M. Goodnick , Yoshiaki Nakano , Masakazu Sugiyama

Quantum tunneling in a two-dimensional integrable map is studied. The orbits of the map are all confined to the curves specified by the one-dimensional Hamiltonian. It is found that the behavior of tunneling splitting for the integrable map…

Chaotic Dynamics · Physics 2024-04-01 Yasutaka Hanada , Akira Shudo

The effect of an externally applied force upon dynamics of dissipative solitons is analyzed in the framework of the one-dimensional cubic-quintic complex Ginzburg-Landau equation supplemented by a linear potential term. The potential…

Pattern Formation and Solitons · Physics 2018-02-08 Bogdan A. Kochetov , Vladimir R. Tuz

The effective spin Hamiltonian of a triple quantum dot with odd electron occupation weakly connected in series with left ($l$) and right ($r$) metal leads is composed of two-channel exchange and co-tunneling terms. Renormalization group…

Strongly Correlated Electrons · Physics 2007-05-23 T. Kuzmenko , K. Kikoin , Y. Avishai

Bosonic Josephson junctions provide a versatile platform for exploring quantum tunneling and coherence phenomena in ultracold atomic systems. While extensive research has examined the Josephson-junction dynamics in various double-well…

Quantum Gases · Physics 2025-04-15 Rhombik Roy , Ofir E. Alon

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

Charging a nano-scale oscillator by single electron tunneling leads to an effective double-well potential due to image charges. We combine exact numerical diagonalizations with generalized Master equations and show that the resulting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hannes Hübener , Tobias Brandes