Abstract
We consider a quantum system interacting sequentially with elements of a chain of independent quantum subsystems. We treat two kinds of such repeated interaction systems: deterministic and random ones. In both cases we show that, under suitable conditions, the system approaches an asymptotic state in the large time limit, and we construct that state.
Our methods are based on the analysis of products of operators generating the dynamics at each step in the process of repeated interaction. In the random case, we obtain results about infinite products of independent, identically distributed random matrices.
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Merkli, M. (2009). Repeated Interaction Quantum Systems. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_32
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DOI: https://doi.org/10.1007/978-90-481-2810-5_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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