Rabi-Type Oscillations in a Classical Josephson Junction

Abstract

We study analytically and numerically the phase-modulation properties of a classical Josephson tunnel junction biased in the zero-voltage state and phase locked to an external ac field. We show that the phase-locked state is being modulated in the transients, or in response to perturbations, and the modulation frequency is calculated as a function of relevant system parameters, such as microwave field amplitude. Our analysis demonstrates that the modulation of a phase-locked state in an entirely classical Josephson junction produces oscillations analogous to quantum mechanical Rabi oscillations, expected to be observed under the same conditions.

Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction

“…For example, it has been demonstrated that the multipeak switching distributions as a function of varying system bias for a constantly applied microwave field can be understood as classical high-Q resonances in the nonlinear system [14,17]. Also Rabi-type oscillations in the switching statistics of Josephson systems perturbed by microwave pulses have been shown to be consistent with theoretical and numerical expectations based on a classical model of a Josephson junction, which exhibit the transients in response to the pulsed perturbations [18,19]. It is the purpose of this paper to demonstrate that Ramsey-type fringes can also be observed in the classical model when the recipe of the experimental measurements is followed.…”

Quantum dynamics of superconducting nano-circuits: phase qubit, charge qubit and rhombi chains

“…Dashed line shows the linear dependence expected for a two-level system. Continuous line is the quantum prediction taking into account the multilevel process, dotted line the classical model[17]. The vertical dotted line indicates the anharmonicity strength: ν 01 − ν 12…”

Investigation of resonant and transient phenomena in Josephson junction flux qubits

“…In the present paper we have chosen to keep the same terminology ͑Rabi-type oscillations, Ramseytype fringes, etc.͒ introduced in the thesis and in the papers which inspired it. [25][26][27][28] Other authors have recently reported on RCSJ-based analysis of the three-junction Josephson system presenting their own terms and analysis. 38 In these papers, the pumping by an ac drive was used in order to generate low frequency modulations of phase and energy, and the conclusions confirm a nonlinear phenomenon reported previously in simulations and experiments; [25][26][27]39 namely, that it is possible to phase-lock Josephson systems by superharmonic pumping.…”