34 citations · 174 across the 29 of their papers we have counts for
14 papers · 1 filter
Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice
M. Akramov, C. Trunk, J. Yusupov +1
We propose an approach to quantize discrete networks (graphs with discrete edges). We introduce a new exact solution of discrete Schrodinger equation that is used to write the solu…
Fast forward problem for adiabatic quantum dynamics: Estimation of the energy cost
J. D. Matrasulov, J. R. Yusupov, Kh. Sh. Matyokubov
We consider the problem of energy cost needed for acceleration (deceleration) of the evolution of a quantum system using the Masuda-Nakamura fast forward protocol. In particular, w…
Fast forward evolution in heat equation:Tunable heat transport in adiabatic regime
J. Matrasulov, J. R. Yusupov, A. A. Saidov
We consider the problem of fast forward evolution of the processes described in terms of the heat equation. The matter is considered on an adiabatically expanding time-dependent bo…
Driven transparent quantum graphs
J. R. Yusupov, M. Ehrhardt, Kh. Sh. Matyokubov +1
In this paper, we discuss the concept of quantum graphs with transparent vertices by considering the case where the graph interacts with an external time-independent field. In part…
Dirac particles on periodic quantum graphs
J. R. Yusupov, K. K. Sabirov, D. U. Matrasulov
We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the…
Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
J. R. Yusupov, K. K. Sabirov, Q. U. Asadov +2
We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with…