Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors

Autor:	Stirpe, Davide, Manninen, Juuso, Massel, Francesco
Rok vydání:	2023
Předmět:	Quantum Physics Condensed Matter - Superconductivity
Druh dokumentu:	Working Paper
Popis:	We study here the semiclassical dynamics of a superconducting circuit constituted by two Josephson junctions in series, in the presence of a voltage bias. We derive the equations of motion for the circuit through a Hamiltonian description of the problem, considering the voltage sources as semi-holonomic constraints. We find that the dynamics of the system corresponds to that of a planar rotor with an oscillating pivot. We show that the system exhibits a rich dynamical behaviour with chaotic properties and we present a topological classification of the cyclic solutions, providing insight into the fractal nature of the dynamical attractors. Comment: 20 pages, 6 figures and 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.17492 Zobrazit plný text záznamu View this record from Arxiv