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A population transfer based on adiabatic evolutions in a three-state system undergoing an avoided crossing is considered. The efficiency of the process is analyzed in connection with the relevant parameters, bringing to light an important…

量子物理 · 物理学 2019-03-27 Benedetto Militello

We study Landau-Zener transitions between two states with the addition of a shared discretized continuum. The continuum allows for population decay from the initial state as well as indirect transitions between the two states. The…

介观与纳米尺度物理 · 物理学 2014-07-23 Amro Dodin , Savannah Garmon , Lena Simine , Dvira Segal

The necessary and sufficient conditions for the stability of adiabatic states in three-level quantum systems are investigated analytically and numerically. Various possible configurations of three-level systems under exact two-photon…

量子物理 · 物理学 2025-09-16 Emil A. Gazazyan , Gayane G. Grigoryan , Vanush Paturyan

We study superadiabatic quantum control of a three-level quantum system whose energy spectrum exhibits multiple avoided crossings. In particular, we investigate the possibility of treating the full control task in terms of independent…

A master equation approach to the study of environmental effects in the adiabatic population transfer in three-state systems is presented. A systematic comparison with the non-Hermitian Hamiltonian approach [N. V. Vitanov and S. Stenholm,…

量子物理 · 物理学 2015-03-13 M. Scala , B. Militello , A. Messina , N. V. Vitanov

High-fidelity and robust coherent population transfer is a major challenge in coherent quantum control. Different from the well known adiabatic condition, we present a rigorous adiabatic condition that is inspired by the idea of the…

量子物理 · 物理学 2019-09-04 Jian Xu , Yan-Xiong Du , Wei Huang

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

We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can be solved exactly, and will help us to…

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

量子物理 · 物理学 2021-06-18 Albert Benseny , Klaus Mølmer

Suppressing undesired nonunitary effects is a major challenge in quantum computation and quantum control. In this work, by considering the adiabatic dynamics in presence of a surrounding environment, we theoretically and experimentally…

We consider a time-dependent small quantum system weakly coupled to an environnement, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the…

数学物理 · 物理学 2022-02-16 Alain Joye

The Stimulated Raman Adiabatic Passage on a three-state system interacting with a spin bath is considered focusing on the efficiency of the population transfer. Our analysis is based on the perturbation treatment of the interaction term…

量子物理 · 物理学 2024-02-28 Benedetto Militello , Anna Napoli

We compute Landau-Zener probabilities for 3-level systems with a linear sweep of the uncoupled energy levels of the 3$\times$3 Hamiltonian $H(t)$. Two symmetry classes of Hamiltonians are studied: For $H(t) \in$ su(2) (expressible as a…

量子物理 · 物理学 2019-03-27 Y. B. Band , Y. Avishai

We obtain the exact expression for the matrix of nonadiabatic transition probabilities in the model of three interacting states with a time-dependent Hamiltonian. Unlike other known solvable Landau-Zener-like problems, our solution is…

量子物理 · 物理学 2015-06-17 Jeffmin Lin , N A Sinitsyn

The dynamics of a two-state system whose energies undergo a real crossing at some instant of time is studied. At this instant, both the coupling and the detuning vanish simultaneously, which leads to an exact degeneracy of the eigenenergies…

量子物理 · 物理学 2015-05-05 Benedetto D. Militello , Nikolay V. Vitanov

Workhorse theories throughout all of physics derive effective Hamiltonians to describe slow time evolution, even though low-frequency modes are actually coupled to high-frequency modes. Such effective Hamiltonians are accurate because of…

经典物理 · 物理学 2017-01-25 Lukas Gilz , Eike P. Thesing , James R. Anglin

We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between…

统计力学 · 物理学 2016-06-22 Felipe Barra , Massimiliano Esposito

This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stochastic differential equations whose structure is specified…

系统与控制 · 计算机科学 2018-06-29 Igor G. Vladimirov , Ian R. Petersen

We analyze the crossing of a quantum critical point based on exact results for the transverse XY model. In dependence of the change rate of the driving field, the evolution of the ground state is studied while the transverse magnetic field…

统计力学 · 物理学 2007-06-13 Andrea Fubini , Giuseppe Falci , Andreas Osterloh

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter $\varepsilon$.…

数学物理 · 物理学 2020-10-28 Alain Joye , Marco Merkli , Dominique Spehner
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