A study on the turning-motion of T/S SAEBADA in shallow water

김수형,; Ki, Lee Chun

doi:10.3796/ksfot.2019.55.3.273

Cited by 2 publications

(1 citation statement)

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“…Note that the dynamical description given by Eqs. (11) and (12) contains not only a generalized force but also a generalized velocity, exhibiting an extended dynamics in the generic form [51]. As in the original Arnold problem, the trajectories generated by the Josephson dynamics may be classified by a separatrix, which is the unperturbed phase-trajectory to which the particle with the saddle point energyẼ sd tends ideally in the limit of vanishing dissipation,γ → 0.…”

Section: Single Josephson Junction: Classical Dynamicsmentioning

confidence: 99%

Classical and quantum dissipative dynamics in Josephson junctions: An Arnold problem, bifurcation, and capture into resonance

2019

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We theoretically study the phase dynamics in Josephson junctions, which maps onto the oscillatory motion of a point-like particle in the washboard potential. Under appropriate driving and damping conditions, the Josephson phase undergoes intriguing bistable dynamics near a saddle point in the quasienergy landscape. The bifurcation mechanism plays a critical role in superconducting quantum circuits with relevance to non-demolition measurements such as high-fidelity readout of qubit states. We address the question "what is the probability of capture into either basin of attraction" and answer it concerning both classical and quantum dynamics. Consequently, we derive the Arnold probability and numerically analyze its implementation of the controlled dynamical switching between two steady states under the various nonequilibrium conditions.

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Section: Single Josephson Junction: Classical Dynamicsmentioning

confidence: 99%