Quantum transport and quasi-particle dynamics in low-dimensional branched structures: Modeling and design of transparent quantum networks

V.A. Derkach, C. Trunk, J.R. Yusupov, D.U. Matrasulov, Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory, Preprint arXiv:2410.10232 September 2024

M.E. Akramov, J.R. Yusupov, M. Ehrhardt, H. Susanto and D.U. Matrasulov, Transparent PT-symmetric nonlinear networks, Preprint arXiv:2408.03709, August 2024

J.R. Yusupov, M. Ehrhardt, Kh.Sh. Matyokubov and D.U. Matrasulov, Driven transparent quantum graphs, Preprint arXiv:2312.01448 November 2023.

K.K. Sabirov, J.R. Yusupov, M.Ehrhardt, D.U.Matrasulov, Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line, Physics Letters A, 423, 127822, 2022

https://www.sciencedirect.com/science/article/abs/pii/S0375960121006861?via%3Dihub

J. Matrasulov, K. Sabirov, Fokker–Planck equation on metric graphs, Physica A: Statistical Mechanics and its Applications, 608, 128279 (2022)

https://www.sciencedirect.com/science/article/abs/pii/S0378437122008378?via%3Dihub

M.E. Akramov, J.R. Yusupov, M. Ehrhardt, H. Susanto, D.U. Matrasulov, Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons, Physics Letters A, 459, 128611, 2023

https://doi.org/10.1016/j.physleta.2022.128611

M.E. Akramov, J.R. Yusupov, I.N. Askerzade and D.U. Matrasulov, Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks, accepted in Physica Scripta, 2023

https://iopscience.iop.org/article/10.1088/1402-4896/acff4e/meta

M. Akramov, C. Trunk, J. Yusupov, D. Matrasulov, Discrete Schrödinger equation on graphs: An effective model for branched quantum lattice. Europhysics Letters 147 (6), 62001, 2024.

https://iopscience.iop.org/article/10.1209/0295-5075/ad752e

J. Yusupov, Transparent boundary conditions for nonlinear evolution equations in low-dimensional domains, “Quantum Circle” Doppler Institute Seminar, Prague, Czech Republic, July 11, 2023

J. Yusupov, Tunable wave propagation in branched structures, Dynamics Days Central Asia and Caucasus: 21st Century Silk Road for Science and Peace, Samarkand, Uzbekistan, October 1-5, 2024

S. Usanov, Nonlocal nonlinear Schrödinger equation on metric graphs: A model for generation and transport of parity-time-symmetric nonlocal solitons in networks, International Summer School & Conference Evolution Equations, Approximation and Spectral Optimization, Almaty, Kazakhstan, September 16 - 18, 2024

J. Yusupov, Modeling the reflectionless propagation of vector solitons in networks, International Summer School & Conference Evolution Equations, Approximation and Spectral Optimization, Almaty, Kazakhstan, September 16 - 18, 2024

J. Yusupov, Transparent boundary conditions for the stationary Schrodinger equation on metric graphs, Dynamics Days Central Asia and Caucasus: 21st Century Silk Road for Science and Peace, Bukhara, Uzbekistan, October 1-4, 2023

J. Yusupov, Transparent boundary conditions for nonlinear evolution equations in low-dimensional domains, International Summer School and Conference on Mathematics for the Micro/Nano-World: From soliton dynamics, nonlinear optics to quantum science and technology, Samarkand, Uzbekistan, September 18-22, 2023.

J. Yusupov, Transparent nonlinear networks, International Conference: Dynamics Days Central Asia & Caucasus, Baku, Azerbaijan, September 28-30, 2022.

J. Yusupov, Tunable quantum transport in networks: From transparent to PT-symmetric quantum graphs, Summer school on Modern trends in quantum science and technologies: From quantum materials to quantum information, Baku, Azerbaijan, September 22 - October 02, 2022

J.Yusupov, Transparent boundary conditions in quantum evolution equations: Modeling and design quantum graphs with transparent vertices, “Applied Functional Analysis” group seminar, Institute of Mathematics, Ilmenau, July 4, 2022

D.Matrasulov, Quantum physics on graphs: From basic research to practical applications, Doppler Institute Seminar, Prague, Czech Republic, November 22, 2022