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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 433, Pages 65–77 (Mi znsl6127)

This article is cited in 6 papers

Time-dependent correlation functions for a bimodal Bose–Hubbard model

N. M. Bogoliubovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia

Abstract: The bimodal Bose–Hubbard model is studied. The application of the Quantum Inverse Method allows to calculate the time-dependent correlation functions of the model. Form-factors of the bosonic creation and annihilation operators in the wells are expressed in the determinantal form.

Key words and phrases: Quantum Inverse Method, time-dependent correlation functions, Bose–Hubbard model.

UDC: 517.9

Received: 18.03.2015


 English version:
Journal of Mathematical Sciences (New York), 2016, 213:5, 662–670

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