Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916127265783808 |
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| author | Stirpe, Davide Manninen, Juuso Massel, Francesco |
| author_facet | Stirpe, Davide Manninen, Juuso Massel, Francesco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17492 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors Stirpe, Davide Manninen, Juuso Massel, Francesco Quantum Physics Superconductivity 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. |
| title | Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors |
| topic | Quantum Physics Superconductivity |
| url | https://arxiv.org/abs/2303.17492 |