Universal Preparability of States and Asymptotic Completeness

Rolf Gohm, Florian Haag, Burkhard Kuemmerer

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

1 Dyfyniadau(SciVal)
159 Wedi eu Llwytho i Lawr (Pure)


We introduce a notion of universal preparability for a state of a system, more precisely: for a normal state on a von Neumann algebra. It describes a situation where from an arbitrary initial state it is possible to prepare a target state with arbitrary precision by a repeated interaction with a sequence of copies of another system. For B(H) we give criteria sufficient to ensure that all normal states are universally preparable which can be verified for a class of non-commutative birth and death processes realized by the interaction of a micromaser with a stream of atoms. As a tool the theory of tight sequences of states and of stationary states is further developed and we show that in the presence of stationary faithful normal states universal preparability of all normal states is equivalent to asymptotic completeness, a notion studied earlier in connection with the scattering theory of non-commutative Markov processes.
Iaith wreiddiolSaesneg
Tudalennau (o-i)59-94
Nifer y tudalennau36
CyfnodolynCommunications in Mathematical Physics
Rhif cyhoeddi1
Dyddiad ar-lein cynnar07 Maw 2017
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 16 Maw 2017

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