Periodic excitations of bilinear quantum systems
نویسندگان
چکیده
منابع مشابه
Periodic excitations of bilinear quantum systems
A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends thi...
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A well known method to transfer the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with angular frequency equal to the difference of the eigenvalues. This paper gives a theoretical proof of this experimental result. We introduce a notion of efficiency and demonstrate its interest for the design of controls on the example of ...
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In this paper, we propose a feedback control for a class of bilinear systems. Based on the Bellman-Gronwall inequality, the exponentially stable periodic solutions or limit cycles, appearing as an ellipsoid in the phase plane, are guaranteed. Moreover, the frequency of oscillation and convergence rate can be correctly estimated for such bilinear control systems. Finally, a numerical example is ...
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H. E. Nistazakis, Mason A. Porter, P. G. Kevrekidis, D. J. Frantzeskakis, A. Nicolin, and J. K. Chin Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, California 91125, USA Department of Mathematics and Statistics, University of Massachusett...
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The present analysis deals with the regularity of solutions of bilinear control systems of the type x′ = (A+ u(t)B)x where the state x belongs to some complex in nite dimensional Hilbert space, the (possibly unbounded) linear operators A and B are skew-adjoint and the control u is a real valued function. Such systems arise, for instance, in quantum control with the bilinear Schrödinger equation...
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ژورنال
عنوان ژورنال: Automatica
سال: 2012
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2012.03.031