Free energy density for mean eld perturbation of states of a one-dimensional spin chain Dedicated to Professor Walter Thirring on his 80th birthday
نویسندگان
چکیده
Motivated by recent developments on large deviations in states of the spin chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the variational expression of free energy density in the presence of a mean eld type perturbation. We extend their results from the product state case to the Gibbs state case in the setting of translationinvariant interactions of nite range. In the special case of a locally faithful quantum Markov state, we clarify the relation between two di erent kinds of free energy densities (or pressure functions). AMS subject classi cation: 82B10, 82B20
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Free energy density for mean field perturbation of states of a one-dimensional spin chain Dedicated to Professor Walter Thirring on his 80th birthday
Motivated by recent developments on large deviations in states of the spin chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the variational expression of free energy density in the presence of a mean field type perturbation. We extend their results from the product state case to the Gibbs state case in the setting of translationinvariant interactions of finite range. In the...
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