Geodesic
Non-Hermitian integrable models
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 22-32 
N. M. Bogoliubov. Non-Hermitian integrable models. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 22-32. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a1/
@article{ZNSL_1998_251_a1,
     author = {N. M. Bogoliubov},
     title = {Non-Hermitian integrable models},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {22--32},
     year = {1998},
     volume = {251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a1/}
}
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The non-Hermitian integrable models with the $q$-bosons as the dynamical variables are considered. It is shown that the exponential phase operators are the special limit of the $q$-bosons. The introduced phase-differences model is studied in the connection with the dynamical roughening systems.