3 papers
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
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…