Approximate controllability for a system of Schrödinger equations modeling a single trapped ion

Sylvain Ervedoza; Jean-Pierre Puel

Displaying similar documents to “Approximate controllability for a system of Schrödinger equations modeling a single trapped ion”

Limitations on the control of Schrödinger equations

Reinhard Illner, Horst Lange, Holger Teismann (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinger equations, review fundamental criteria for controllability and revisit a classical “No-go” result for evolution equations due to Ball, Marsden and Slemrod. In Section 2 we prove corresponding results on non-controllability for the linear Schrödinger equation and distributed additive control, and we show that the Hartree equation of quantum chemistry with bilinear control $(E (t) \cdot x) u$ is...

Controllability of a quantum particle in a 1D variable domain

Karine Beauchard (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a quantum particle in a 1D infinite square potential well with variable length. It is a nonlinear control system in which the state is the wave function $φ$ of the particle and the control is the length $l (t)$ of the potential well. We prove the following controllability result : given $φ_{0}$ close enough to an eigenstate corresponding to the length $l = 1$ and $φ_{f}$ close enough to another eigenstate corresponding to the length $l = 1$ , there exists a continuous function $l : [0, T] \to ℝ_{+}^{*}$ with $T > 0$ , such that $l (0) = 1$ and $l (T) = 1$ ,...

Controllability of the discrete-spectrum Schrödinger equation driven by an external field

Thomas Chambrion, Paolo Mason, Mario Sigalotti, Ugo Boscain (2009)

Annales de l'I.H.P. Analyse non linéaire

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Controllability of nonlinear systems with delays in both state and control variables

Krishnan Balachandran (1986)

Kybernetika

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Approximate controllability of delayed semilinear control systems.

Wang, Lianwen (2005)

Journal of Applied Mathematics and Stochastic Analysis

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