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Conference Proceedings
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3rd INTERNATIONAL CONFERENCE "PHYSICS AND CONTROL" (PhysCon 2007)
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Indirect control of the asymptotic states of a quantum dynamical semigroup
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In the dynamics of open quantum systems, the interaction

with the external environment usually leads to a contraction of the

set of reachable states for the system as time increases, eventually

shrinking to a single stationary point. In this contribution we

describe to what extent it is possible to modify this asymptotic

state by means of indirect control, that is by using an auxiliary

system coupled to the target system in order to affect its dynamics,

when there is a purely dissipative coupling between the two systems.

We prove that, also in this restrictive case, it is possible to

modify the asymptotic state of the relevant system, give necessary

conditions for that and provide physical examples. Therefore, in

indirect control schemes, the environmental action has not only a

negative impact on the dynamics of a system, it is rather possible

to make use of it for control purposes.

with the external environment usually leads to a contraction of the

set of reachable states for the system as time increases, eventually

shrinking to a single stationary point. In this contribution we

describe to what extent it is possible to modify this asymptotic

state by means of indirect control, that is by using an auxiliary

system coupled to the target system in order to affect its dynamics,

when there is a purely dissipative coupling between the two systems.

We prove that, also in this restrictive case, it is possible to

modify the asymptotic state of the relevant system, give necessary

conditions for that and provide physical examples. Therefore, in

indirect control schemes, the environmental action has not only a

negative impact on the dynamics of a system, it is rather possible

to make use of it for control purposes.