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

• URL: http://arxiv.org/abs/2303.17492v2
• Date: Fri, 16 Feb 2024 12:52:01 GMT
• Title: Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors
• Authors: Davide Stirpe, Juuso Manninen, Francesco Massel
• Abstract summary: We derive the equations of motion for the circuit through a Hamiltonian description of the problem. We find that the dynamics of the system corresponds to that of a planar rotor with an oscillating pivot.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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