Zhuravlov Y. The method of effective form-factors in quantum integrable models

Українська версія

Thesis for the degree of Doctor of Philosophy (PhD)

State registration number

0824U002142

Thesis Registration Form

0824U002142.pdf

Applicant for

Specialization

  • 104 - Фізика та астрономія

29-05-2024

Specialized Academic Board

5454

М.М.Bogolyubov Institute of Theoretical Physics of the National Academy of Sciences of Ukraine

Essay

The dissertation is devoted to the development of the method of asymptotic analysis of correlation functions in quantum integrable models. As applications of the developed method, the static correlation functions in the XY quantum chain model, the correlation functions of the anyon model on a one-dimensional lattice, and the full counting statistics in the problem of one-dimensional transport in a bipartite system with a local defect between them were considered. In all considered cases, the asymptotics of the correlation functions were calculated analytically.

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Research papers

O. Gamayun, N. Iorgov and Y. Zhuravlev, Effective free-fermionic form factors and the XY spin chain, SciPost Physics 10(3) (2021), doi: 10.21468/scipostphys.10.3.070 .

Y. Zhuravlev, E. Naichuk, N. Iorgov and O. Gamayun, Large-time and long- distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas, Physical Review B 105(8) (2022), doi: 10.1103/physrevb.105.085145 .

O. Gamayun, Y. Zhuravlev and N. Iorgov, On Landauer–Büttiker formalism from a quantum quench, Journal of Physics A: Mathematical and Theoret- ical 56(20), 205203 (2023), doi:10.1088/1751-8121/accabf .

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Files

Dissert_Zhuravlov.pdf

autoreferat-Annot_Zhuravlov.pdf

evolution-Рішення_спецради Журавльов.pdf

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