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Phys. Rev. A, 2012, Volume 86, Issue 5, 52117, 6 pages (Mi phra6)  

Trap-free manipulation in the Landau–Zener system

A. Pechenab, N. Il'ina

a Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina 8, Moscow 119991, Russia
b Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Abstract: The analysis of traps, that is, locally but not globally optimal controls, for quantum control systems has attracted great interest in recent years. The central problem that has remained open is to demonstrate for a given system either the existence or the absence of traps. We prove the absence of traps and hence completely solve this problem for the important tasks of unconstrained manipulation of the transition probability and unitary gate generation in the Landau–Zener system, a system with a wide range of applications across physics, chemistry, and biochemistry. This finding provides an example of a controlled quantum system which is completely free of traps. We also discuss the impact of laboratory constraints due to decoherence, noise in the control pulse, and restrictions on the available controls, which, when being sufficiently severe, can produce traps.

Funding Agency Grant Number
European Union's Seventh Framework Programme
Russian Foundation for Basic Research
Ministry of Education and Science of the Russian Federation
A. Pechen acknowledges support of the Marie Curie International Incoming Fellowship within the 7th European Community Framework Programme. N. Il'in is partially supported by the Russian Foundation for Basic Research. This research is made possible in part by the historic generosity of the Harold Perlman family and by Federal Target Programme "Scientific and scientific-pedagogical personnel of the innovative Russia" 2009-2013.


DOI: https://doi.org/10.1103/PhysRevA.86.052117


Bibliographic databases:

Document Type: Article
Received: 29.07.2012
Language: English

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