Landau-Zener transition
The Landau–Zener formula is an analytic solution to the equations of motion governing the transition dynamics of a 2-level quantum mechanical system, with a time-dependent Hamiltonian varying such that the energy separation of the two states is a linear function of time. The formula, giving the probability of a diabatic (not adiabatic) transition between the two energy states, was published separately by Lev Landau,Clarence Zener,Ernst Stueckelberg, and Ettore Majorana, in 1932.
If the system starts, in the infinite past, in the lower energy eigenstate, we wish to calculate the probability of finding the system in the upper energy eigenstate in the infinite future (a so-called Landau–Zener transition). For infinitely slow variation of the energy difference (that is, a Landau–Zener velocity of zero), the adiabatic theorem tells us that no such transition will take place, as the system will always be in an instantaneous eigenstate of the Hamiltonian at that moment in time. At non-zero velocities, transitions occur with probability as described by the Landau–Zener formula.

This is an excerpt from the article Landau-Zener transition from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Landau–Zener formula - Wikipedia, the free encyclopedia
The Landau–Zener formula is an analytic solution to the equations of motion governing the transition dynamics of a 2-level quantum mechanical system, with a ...
en.wikipedia.org/wiki/Landau%E2%80%93Zener_formula
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Landau-Zener Effect - Princeton University
two-level system is accurately described by the. Landau-Zener theory."5 It has also been esta- blished that nonadiabatic transitions between Ryd- berg states in ...
www.princeton.edu/~mlittman/landau_zener.pdf
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[1207.5585] Sequential Landau-Zener transitions in spin-orbit ...
Jul 24, 2012 ... Abstract: We investigate the Landau-Zener (LZ) process in spin-orbit coupled systems of single or multiple two-level (spin-$\frac{1}{2}$) ...
arxiv.org/abs/1207.5585
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1 Generalized formula for the Landau-Zener transition in ... - arXiv
Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates. A.M. Ishkhanyan. Institute for Physical Research NAS of Armenia, ...
arxiv.org/pdf/0912.2569
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The Landau-Zener Formula - American Chemical Society Publications
Mar 24, 2005 ... The Landau-Zener formula for the probability that a nonadiabatic transition has taken place is derived without solving directly the usual ...
pubs.acs.org/doi/pdf/10.1021/jp040627u
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The dissipative Landau-Zener problem
transition probability. P↑→↓(∞) = 1−exp(− π∆2. 2ħv. ) large splitting ∆: adiabatic following, P↑→↓(∞) = 1. Landau, Zener, Stückelberg (1932) alternative: ...
www.mpipks-dresden.mpg.de/~pi07/Abstract/kohler.pdf
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Observation of Landau-Zener dynamics in classical optical systems
This phenomenon of Landau—Zener “tunnel- ing” is usually associated with quantum mechanics. We report the observation of Landau'Zener transitions over.
web.physics.ucsb.edu/~quopt/landau.pdf
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Transition Probabilities at Crossing in the Landau-Zener Problem
Landau-Zener formula for transition probability at t → is expressed in ... crossing. Key Words : Nonadiabatic transition, Landau-Zener, Time-dependent, Crossing.
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Transition times in the Landau-Zener model - Linking to APS Journals
This paper presents analytic formulas for various transition times in the Landau-Zener model. Considerable differences are found between the transition times in ...
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Transition probabilities for the three-level Landau-Zener model ...
A three-level model is used for an atom in which two transitions are driven by two laser beams, having constant amplitudes and detunings that are proportional ...
iopscience.iop.org/0305-4470/19/11/014
Search results for "Landau-Zener transition"
Landau-Zener transition in science
Landau-Zener transitions in the presence of harmonic noise
Mar 8, 2013 ... Abstract: We study the influence of off-diagonal harmonic noise on transitions in a Landau-Zener model. We demonstrate that the harmonic ...
Effects of colored noise on Landau-Zener Transitions: Two and ...
Nov 15, 2012 ... In contrast to the case of fast noise, the transition probability for LZ ... We investigate the Landau-Zener transition in two- and three- level ...
[1207.5585] Sequential Landau-Zener transitions in spin-orbit ...
Jul 24, 2012 ... Title: Sequential Landau-Zener transitions in spin-orbit coupled systems ... Abstract: We investigate the Landau-Zener (LZ) process in spin-orbit ...
[PDF]Transition Probabilities at Crossing in the Landau-Zener Problem
11 1735. Transition Probabilities at Crossing in the Landau-Zener Problem. Tae Jun Park. Department of Chemistry, Dongguk University, Seoul 100-715, Korea.
Effects of colored noise on Landau-Zener transitions: Two-and three ...
Jun 6, 2013... Faculty of Science, Department of Physics, University of Dschang, ... We investigate the Landau-Zener transition in two- and three-level ...
Landau-Zener transition of a two-level system driven by spin chains ...
The Landau-Zener (LZ) transition of a two-level system coupling ...
[PDF]Landau-Zener-stuckelberg interference in superconducting qubits
states using Landau-Zener transition. Yang Yu, Nanjing University. Mini- workshop on Quantum Information Science and Related. Topics, Aug. 6, 2011, NCKU ...
[PDF]THE LANDAU-ZENER LINEAR CROSSING PROBLEM and NON ...
Mar 22, 1990 ... THE LANDAU-ZENER. LINEAR CROSSING PROBLEM and. NON-ADIABATIC TRANSITIONS. Kalle-Antti Suominen. University of Helsinki.
Landau-Zener interferometer - O.V. Lounasmaa Laboratory - Aalto ...
Feb 5, 2008 ... This phenomenon is known as Landau-Zener tunneling and it forms the ... The traditional treatment of the Landau-Zener tunneling, however, ...
[PDF]Quantum-Mechanical Study of the Landau-Zener Resonances in ...
Department of Physics, Yamaguchi University, Yamaguchi 753 ... formula is extremely useful for discussion of the Landau·Zener transition in nuclear heavy- ion.
Books on the term Landau-Zener transition
Trapped Ultracold Atoms with Tunable Interactions
Javier von Stecher, 2008
Thus, the dynamic of these systems cannot be described by a simple Landau-Zener transition. For that reason, we model the transition probabilities pi of the N = 3 and N = 4 systems with a sequence of Landau-Zener transitions. Analyzing the ...
Nonadiabatic Transition: Concepts, Basic Theories and ...
Hiroki Nakamura, 2012
Concepts, Basic Theories and Applications Hiroki Nakamura. Chapter 3 Historical Survey of Theoretical Studies The theoretical studies of nonadiabatic transitions between potential energy curves date back to 1932, when Landau [1], Zener [2] ...
Advances in atomic, molecular, and optical physics.
Benjamin Bederson, 1999
... 18:417 finite nuclear size effects in, 18:409 helium transitions and, 18:434-436 high-Z measurements and, 18:419- 424 ... 30 derivation of, 20:22 Landau-Zener transition, 19:42; 26:288; 38:124-125, 138 Landau-Zener transition probability, ...
Quantum Chaos and Quantum Dots
Katsuhiro Nakamura, Takahisa Harayama, 2004
Landau-Zener and linear re- sponse[119.120]. We first investigate the Landau- Zener regime. In this regime. the rate of temporal change of X(t) is so small that the energy diffusion is dominated by Landau-Zener transitions between adjacent  ...
Modern Optics and Photonics: Atoms and Structured Media
G. G. Gurzadian, 2010
Atoms and Structured Media G. G. Gurzadian. Landau-Zener transition IN NONLINEAR QUANTUM SYSTEMS A. M. ISHKHANYAN Institute for Physical Research of NAS of Armenia, Ashtarak, 0203, Armenia E-mail: ...
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Landau-Zener transition
Comparison of theory and experiment: Landau-Zener transition probability for single qubits in a Leda chip | Hack The Multiverse
Related to the previous post: here is a new article describing observed probabilities for transitioning out of the ground state for single qubits in a 28-qubit chip designed for AQC. They match beautifully with the predictions for LZ transitions of a quantum mechanical two-level system in the presence of environments. Landau-Zener transitions in an Adiabatic…
dwave.wordpress.com/2008/07/04/comparison-of-theory-and-experiment-landau-zener-transition-probability-for-single-qubits-in-a-leda-chip/
Dwave showing some experimental proof of quantum coherence matching Landau Zener Transitions for their quantum computer
]]> Email ThisBlogThis!Share to TwitterShare to Facebook Tweet Dwave Systems is a company that is trying to make commercial quantum computers is solidifying the theoretical and experimental evidence that they have in fact created quantum computers. Dwave should be releasing quantum computers with thousands of qubits before the end of 2008.
nextbigfuture.com/2008/07/dwave-showing-experimental-proof-of.html
Nanomagn: Manipulating molecular magnets by Landau-Zener
Manipulation of the spin in single molecule magnets via Landau-Zener transitionsAndrew Palii, Boris Tsukerblat, Juan M. Clemente-Juan, Alejandro Gaita-Ariño, and Eugenio Coronado Phys.
nanomagn.blogspot.com/2011/11/manipulating-molecular-magnets-by.html
cond-mat.mes-hall - Mesoscale and Nanoscale Physics: 1305.4588 (M. B. Kenmoe et al.)
SU(3) Landau - Zener Interferometry [PDF]M. B.
cpr-condmat-meshall.blogspot.com/2013/05/13054588-m-b-kenmoe-et-al.html
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