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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-23
August 2001

General Framework for the Behaviour of Continuously Observed Open Quantum Systems


Ole E. Barndorff-Nielsen

Elena R. Loubenets


In recent years, the problem of how to describe the behaviour of a quantum system continuously observed in time has been the subject of intensive investigations in the physical and the mathematical literature. This type of behaviour is generally not reversible in time and, hence, in particular, cannot be described by the Schrödinger equation whose solutions are reversible. The present strong interest in this fundamental problem is to a large extent caused by the rapid development of experimental techniques, where experiments involving continuous-time (i.e. continuous in time) `monitoring' of a quantum system have become possible. In the present paper we develop the general quantum stochastic approach to the description of quantum measurements continuous in time.

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This paper has now been published in J. Physics A: Math. Gen. 35, 565-588 (2002)