APPLIED MATH - R. Romano 18 October at 4.00 p.m.

[Barbara Corzani]

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FUNCTIONAL ANALYSIS SECTOR'S ACTIVITIES
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SEMINAR - "APPLIED MATH" 

Dott. 
Raffaele Romano
(Iowa State University)


Title:
"A new approach to controllability of quantum mechanical systems"

Wed. 18 October 2006  @  04.00 p.m.

SISSA - Main Building - ground floor - room B

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Abstract: We study  a new  approach to the control of a quantum system S, which uses the coupling of S with a quantum probe P. The external control affects only P, and the accessibility and controllability properties describe to what extent it is possible to drive the state of S by varying the initial state of P and using the interaction between the two systems. In particular, we study the case of two-dimensional system and probe. Two situations  are
considered: either the total system S + P is a closed one, or it is surrounded by a bath of decoupled harmonic oscillators. We give results on the controllability and accessibility properties of this scheme, and we discuss the relation of these properties with the entangling capability of the interaction between S and P.