4 papers
Exactly Solvable RD Model: RG Cycles Meet Fractality
Ilya Liubimov, Alexander Gorsky
We consider the Bethe ansatz integrable Russian Doll (RD) model of superconductivity with time-reversal symmetry breaking, which exhibits a cyclic renormalization group. By obtaini…
Phase-locking in dynamical systems and quantum mechanics
Artem Alexandrov, Alexey Glutsyuk, Alexander Gorsky
In this study, we discuss the Prufer transform that connects the dynamical system on the torus and the Hill equation, which is interpreted as either the equation of motion for the…
Hilbert space geometry and quantum chaos
Rustem Sharipov, Anastasiia Tiutiakina, Alexander Gorsky +2
The quantum geometric tensor (QGT) characterizes the Hilbert space geometry of the eigenstates of a parameter-dependent Hamiltonian. In recent years, the QGT and related quantities…
Penrose method for Kuramoto model with inertia and noise
Artem Alexandrov, Alexander Gorsky
Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all-to-all couplings. Analyzing the P…