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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