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Information × Registration Number 0222U003798, 0120U104781 , R & D reports Title Equilibrium and non-equilibrium processes in quantum integrable models in condensed matter physics popup.stage_title Head Iorgov Mykola Z., Доктор фізико-математичних наук Registration Date 30-05-2022 Organization М.М.Bogolyubov Institute of Theoretical Physics of the National Academy of Sciences of Ukraine popup.description2 The Project is devoted to the investigation of correlation functions in quantum integrable systems for equilibrium finite-entropy initial states, or in the out-of-equilibrium setup. The behavior of such correlations functions is distinct from the vacuum case due to the very different nature of excitations. Integrability allows us to present correlation functions in form-factor series and, in some cases, even get closed analytical expressions in terms of Fredholm determinants. The aim of the Project is twofold: at first, we will develop resummation techniques of the form-factor series in order to describe the asymptotic behavior of the correlation functions, and, secondly, we apply these and similar techniques to describe physical problems such as correlation functions in spin chains, transport problems, kinetics of the mobile impurities in ultracold atomic gases, and to analyze purely mathematical problems related to the isomonodromic deformations and Painleve equations. Product Description popup.authors Gamayun Oleksandr V. Zhuravlev Yuri S. popup.nrat_date 2022-05-30 Close