Abstract
We investigate in detail the structure of the set of Quantum Markov States (QMS), as defined by Accardi and Frigerio. A detailed study of their classical analogues reveals that they contain a lot more than just the Markovian measures. Furthermore we prove a canonical representation theorem and this result is then used to analyze the consequences of group invariance for a QMS. The theory is applied in a variational approximation for the ground state of the antiferromagnetic Heisenberg model. We thus show that the QMS might provide an interesting new tool to investigate ground state problems for 1-dimensional quantum spin systems.
Talk held at the 4th Workshop on Quantum Probability and Applications, Heidelberg, September 1988
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References
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© 1990 Springer-Verlag
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Nachtergaele, B. (1990). Working with Quantum Markov States and their classical analogues. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications V. Lecture Notes in Mathematics, vol 1442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085520
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DOI: https://doi.org/10.1007/BFb0085520
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