6 papers
Duck hunting with quantum mechanics
Artem Alexandrov
We bridge two sides of singular perturbation theory: the classical theory of slow-fast systems and the semi-classical approach to quantum mechanical systems. For a specific but phy…
Graphon Spin Systems as Exactly Solvable Models
Artem Alexandrov, Georgi S. Medvedev
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphon…
Three-Dimensional Kardar--Parisi--Zhang Scaling in Polariton Condensates
Junhui Cao, Denis Novokreschenov, Artem Alexandrov +2
Kardar--Parisi--Zhang (KPZ) universality provides an example of macroscopic scaling generated by microscopic violation of detailed balance. While one- and two-dimensional realizati…
Phase transitions in the Ising model on random graphs
Artem Alexandrov, Georgi S. Medvedev
We study phase transitions in the Ising model on random graphs using graph limits. We show that the critical temperatures are determined by the eigenvalues of the kernel operator a…
Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking
Artem Alexandrov, Alexey Glutsyuk
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an…
Quantum Gases of Dipoles, Quadrupoles and Octupoles in Gross-Pitaevskii Formalism with Form Factor
A. A. Alexandrov, A. U. Badamshina, S. L. Ogarkov
Classical and quantum field theory of dipolar, axisymmetric quadrupolar and octupolar Bose gases is considered within a general approach. Dipole, axisymmetric quadrupole and octupo…