Geodesic
Heisenberg $XX0$ chain and random walks on a ring
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 48-63 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain and investigate mean values of the exponential of the centroid operator for the periodic Heisenberg $XX0$ chain on a ring. The generating function of directed lattice paths is obtained in terms of circulant matrices which leads to generalizations of the Ramus's identity. The two-time correlation function of the exponential of the centroid operator is expressed in terms of the Cauchy determinant and thus explicitly calculated. 
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N. M. Bogoliubov; C. L. Malyshev. Heisenberg $XX0$ chain and random walks on a ring. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 48-63. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a2/

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