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We study Landau-Zener transitions in a dissipative environment by means of the numerically exact quasiadiabatic propagator path-integral. It allows to cover the full range of the involved parameters. We discover a nonmonotonic dependence of…

介观与纳米尺度物理 · 物理学 2011-07-19 Peter Nalbach , Michael Thorwart

We study Landau-Zener transitions in a fermionic dissipative environment where a two-level (up and down states) system is coupled to two metallic leads kept with different chemical potentials at zero temperature. The dynamics of the system…

介观与纳米尺度物理 · 物理学 2020-04-01 Ruofan Chen

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

Three analytic solutions to the Schr\"{o}dinger equation for the time-dependent Landau-Zener Hamiltonian are presented. They correspond to specific finite-time driving paths in a bounded parameter space of a two-level system. Two of these…

量子物理 · 物理学 2023-05-24 Felipe Matus , Jan Střeleček , Pavel Cejnar

We investigate a special time-dependent quantum model which assumes the Landau-Zener driving form but with an overall modulation of the intensity of the pulsing field. We demonstrate that the dynamics of the system, including the two-level…

量子物理 · 物理学 2018-06-19 Wei Li , Li-Xiang Cen

We study the effect of an environment consisting of noninteracting two level systems on Landau-Zener transitions with an interest on the performance of an adiabatic quantum computer. We show that if the environment is initially at zero…

介观与纳米尺度物理 · 物理学 2009-06-17 Andy T. S. Wan , M. H. S. Amin , Shannon X. Wang

We present statistics of quantum jumps in the two-level system with landau-Zener Hamiltonian that undergoes a Markovian process. For the Landau-Zener model, which is successful in simulating adiabatic/non-adiabatic evolution and quantum…

量子物理 · 物理学 2024-11-05 Laleh Memarzadeh , Rosario Fazio

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 study the Landau-Zener Problem for a decaying two-level-system described by a non-hermitean Hamiltonian, depending analytically on time. Use of a super-adiabatic basis allows to calculate the non-adiabatic transition probability P in the…

量子物理 · 物理学 2009-11-13 R. Schilling , Mark Vogelsberger , D. A. Garanin

The Landau-Zener transition in a two level system can be suppressed or enhanced by coupling to an environment, depending on the temperature and the environment spectral function. We consider the marginal spectral function, when the…

统计力学 · 物理学 2007-05-23 A. V. Shytov

A class of surface hopping algorithms is studied comparing two recent Landau-Zener (LZ) formulas for the probability of nonadiabatic transitions. One of the formulas requires a diabatic representation of the potential matrix while the other…

化学物理 · 物理学 2015-06-19 Andrey K. Belyaev , Caroline Lasser , Giulio Trigila

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

The Landau--Zener (LZ) model describes a two-level quantum system that undergoes an avoided crossing. In the adiabatic limit, the transition probability vanishes. An auxiliary control field $H_\text{CD}$ can be reverse-engineered so that…

量子物理 · 物理学 2026-01-16 Georgios Theologou , Mikkel F. Andersen , Sandro Wimberger

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

We study the dynamics of a quantum two state system driven through an avoided crossing under the influence of a super Ohmic environment, i.e. a longitudinal as well as a transversal one. The crossing time window, in which relaxation…

量子物理 · 物理学 2021-05-11 Peter Nalbach

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 investigate the influence of a dipole interaction with a classical radiation field on a qubit during a continuous change of a control parameter. In particular, we explore the non-adiabatic transitions that occur when the qubit is swept…

介观与纳米尺度物理 · 物理学 2007-05-23 Martijn Wubs , Keiji Saito , Sigmund Kohler , Yosuke Kayanuma , Peter Hanggi

The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely…

介观与纳米尺度物理 · 物理学 2012-08-10 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Peter Krenn , Jörg P. Kotthaus , Eva M. Weig

This paper presents analytic formulas for various transition times in the Landau-Zener model. Considerable differences are found between the transition times in the diabatic and adiabatic bases, and between the jump time (the time for which…

量子物理 · 物理学 2009-10-31 N. V. Vitanov

We investigate Landau-Zener processes modeled by a two-level quantum system, with its finite bias energy varied in time and in the presence of a single broadened cavity mode at zero temperature. By applying the hierarchy equation method to…

量子物理 · 物理学 2016-02-03 Zhe Sun , Longwen Zhou , Gaoyang Xiao , Dario Poletti , Jiangbin Gong
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