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For a Landau-Zener transition in a two-level system, the probability for a particle, initially in the first level, {\em i}, to survive the transition and to remain in the first level, depends exponentially on the square of the tunnel matrix…

介观与纳米尺度物理 · 物理学 2022-07-13 Rajesh K. Malla , M. E. Raikh

We study the transitions between neighboring energy levels in a quasi-one-dimensional semiconductor quantum dot with two interacting electrons in it, when it is subject to a linearly time-dependent electric field. We analyze the…

强关联电子 · 物理学 2009-12-03 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

We consider the simplest non-integrable model of multistate Landau-Zener transition. In this model two pairs of levels in two tunnel coupled quantum dots are swept passed each other by the gate voltage. Although this 2 * 2 model is…

介观与纳米尺度物理 · 物理学 2017-09-27 Rajesh K. Malla , M. E. Raikh

Quantum-mechanical systems having two discrete energy levels are ubiquitous in nature. For crossing energy levels, depending on how fast they approach each other, there is a possibility of a transition between them. This phenomenon is known…

介观与纳米尺度物理 · 物理学 2015-06-25 Mika Sillanpaa , Teijo Lehtinen , Antti Paila , Yuriy Makhlin , Pertti Hakonen

The transition dynamics of two-state systems with time-dependent energy levels, first considered by Landau, Zener, Majorana, and St\"uckelberg, is one of the basic models in quantum physics and has been used to describe various physical…

量子物理 · 物理学 2025-06-27 Jonas R. F. Lima , Guido Burkard

The Landau-Zener formula provides the probability of non-adiabatic transitions occuring when two energy levels are swept through an avoided crossing. The formula is derived here in a simple calculation that emphasizes the physics…

原子物理 · 物理学 2010-11-09 Amar C Vutha

An interaction of electromagnetic field with a nanostructure composed of two quantum dots is studied theoretically. An effect of a resonant electron transfer between the localized low-lying states of quantum dots is predicted. A necessary…

介观与纳米尺度物理 · 物理学 2009-10-31 Leonid A. Openov

The coherent quantum dynamics of an electron in the quantum-dot ring structure under the resonant electromagnetic pulse is studied theoretically. A possibility of the selective electron transfer between any two dots is demonstrated. The…

介观与纳米尺度物理 · 物理学 2009-11-10 A. V. Tsukanov , L. A. Openov

The puzzling behavior of the transition phase through a quantum dot can be understood in a natural way via a formation of the electron molecule in the quantum dot. In this case the resonance tunneling takes place through the…

介观与纳米尺度物理 · 物理学 2009-11-13 S. A. Gurvitz

We calculate the propagator and the transition probabilities for a coherently driven three-state quantum system. The energies of the three states change linearly in time, whereas the interactions between them are pulse-shaped. We derive a…

量子物理 · 物理学 2009-11-13 S. S. Ivanov , N. V. Vitanov

Application of strong dc electric field to an insulator leads to quantum tunneling of electrons from the valence band to the conduction band, which is a famous nonlinear response known as Landau-Zener tunneling. One of the growing interests…

介观与纳米尺度物理 · 物理学 2020-04-29 Sota Kitamura , Naoto Nagaosa , Takahiro Morimoto

We describe a novel mechanism for charge pumping through tunnel-coupled quantum dots in the regime of strong Coulomb blockade. The quantum state of an additional electron within the structure is steered by changing the tunneling couplings…

凝聚态物理 · 物理学 2009-11-07 F. Renzoni , T. Brandes

Two-level system strongly coupled to a single resonator mode (harmonic oscillator) is a paradigmatic model in many subfields of physics. We study theoretically the Landau-Zener transition in this model. Analytical solution for the…

介观与纳米尺度物理 · 物理学 2018-01-31 Rajesh K. Malla , M. E. Raikh

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

介观与纳米尺度物理 · 物理学 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

The Landau-Zener formula describes the diabatic transition probability of a two-level system under linear driving. Its rigorous derivation typically relies on sophisticated mathematical tools, such as special functions, Laplace transforms,…

量子物理 · 物理学 2025-09-17 Chen Sun

Landau-Zener tunneling, which describes the transition in a two-level system during a sweep through an anti-crossing, is a model applicable to a wide range of physical phenomena. Realistic quantum systems are affected by dissipation due to…

We identify a nontrivial 4-state Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. The model describes an experimentally accessible system of two…

介观与纳米尺度物理 · 物理学 2016-02-10 N. A. Sinitsyn

During the adiabatic time evolution levels crossing violates the adiabaticity and makes transitions between levels possible. Conventionally only two energy levels cross simultaneously. The transition probabilities for this case were found…

强关联电子 · 物理学 2007-05-23 V. L. Pokrovsky , N. A. Sinitsyn

We study Rosen-Zener transition (RZT) in a nonlinear two-level system in which the level energies depend on the occupation of the levels, representing a mean-field type of interaction between the particles. We find that the nonlinearity…

介观与纳米尺度物理 · 物理学 2009-11-13 Di-Fa Ye , Li-Bin Fu , Jie Liu

Electron tunneling through a system formed by two coupled quantum dots in a parallel geometry is considered within a generalized Anderson model. The dots are assumed to have nearly equal radii but different (and tunable) gate voltages. In…

强关联电子 · 物理学 2009-11-07 Yshai Avishai , Konstantin Kikoin
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