Geodesic
The Probabilities of Survival and Hopping of States in the Phase Model on a~Finite Lattice
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 36-48

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Explicit expressions for the probability of darkness formation are obtained in the model of strongly correlated bosons on a finite lattice. The probabilities of survival and hopping of the Fock states are considered. 
@article{TM_1999_226_a3,
     author = {N. M. Bogolyubov and A. G. Izergin and A. L. Kitanin and A. G. Pronko},
     title = {The {Probabilities} of {Survival} and {Hopping} of {States} in the {Phase} {Model} on {a~Finite} {Lattice}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {36--48},
     publisher = {mathdoc},
     volume = {226},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1999_226_a3/}
}
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N. M. Bogolyubov; A. G. Izergin; A. L. Kitanin; A. G. Pronko. The Probabilities of Survival and Hopping of States in the Phase Model on a~Finite Lattice. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 36-48. http://geodesic.mathdoc.fr/item/TM_1999_226_a3/