Nonlinear microwave absorption in weak-link Josephson junctions

Xie, Lei; Wosik, J.; Wolfe, J. C.

doi:10.1103/physrevb.54.15494

Cited by 24 publications

(28 citation statements)

References 33 publications

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“…12, the fitting is good and is very similar to that obtained in Ref. 41. This similarity is not surprising because the experimental conditions 41 correspond to values of ␥ӷ1 for which the RSJ model with noise agrees in all respects with that used in Ref.…”

Section: ͑24͒supporting

confidence: 72%

“…As was shown in Ref. 41, the numerical solution of the underlying nonlinear dynamic equation for the noiseless RSJ model ͓Eq. ͑3͒ with L(t)ϭ0͔ agrees closely with experiment.…”

Section: ͑24͒mentioning

confidence: 99%

“…͑3͒ with L(t)ϭ0͔ agrees closely with experiment. For the purpose of illustration, a comparison of the theoretical results presented in this paper with experimental data 41 on measurements of the microwave surface resistance R s of a Y-Ba-Cu-O film at 14 GHz for 70, 50, 25, and 10 K is shown in Fig. 12.…”

Section: ͑24͒mentioning

confidence: 99%

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Nonlinear impedance of a microwave-driven Josephson junction with noise

2000

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The nonlinear impedance of a point Josephson junction is calculated under various conditions for the resistively shunted junction model in the presence of noise. The calculation proceeds by solving the Langevin equation for the mechanical problem of a Brownian particle in a tilted cosine potential in the presence of a strong ac force ignoring inertial effects. The exact solution of the infinite hierarchy of equations for the moments ͑expectation values of the Fourier components of the phase angle͒, which describe the dynamics of the junction, is expressed in terms of a matrix continued fraction. This solution allows one to evaluate the nonlinear response of the junction ͑nonlinear microwave impedance, for example͒ to an ac microwave current of arbitrary amplitude. Strong nonlinear effects in the resistance and the reactance are observed for large ac currents as is demonstrated by plotting the nonlinear response characteristics as a function of the model parameters. For weak ac currents and low noise strengths, our results agree closely with previously available linear response and nonlinear response noiseless solutions, respectively. Applications of the model to the interpretation of recent experimental data found in the literature for the nonlinear behavior of microwave impedance of superconducting weak links are discussed.

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Section: ͑24͒supporting

confidence: 72%

“…As was shown in Ref. 41, the numerical solution of the underlying nonlinear dynamic equation for the noiseless RSJ model ͓Eq. ͑3͒ with L(t)ϭ0͔ agrees closely with experiment.…”

Section: ͑24͒mentioning

confidence: 99%

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Nonlinear impedance of a microwave-driven Josephson junction with noise

2000

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“…Furthermore, as shown in Ref. 42, the numerical solution of the nonlinear dynamical equation governing the noiseless RSJ model agrees closely with experiment. Finally, the nonlinear ac response of a point Josephson junction in the presence of noise has been evaluated in Refs.…”

Section: ͑2͒supporting

confidence: 62%

“…Moreover, the RSJ model can also describe the main features of the nonlinear surface impedance, namely, the steps in the ac current dependence of the resistance, 33,34 the threshold points, 40,41 and saturation. 40,41 Among other experiments, which can be analyzed using the classical RSJ model, are microwave absorption measurements in weak-link Josephson junctions 42 in high-T c superconductors, where the microwave surface resistance R s was studied. Furthermore, as shown in Ref.…”

Section: ͑2͒mentioning

confidence: 99%

Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction

et al. 2009

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The quantum Smoluchowski equation for the reduced Wigner function in configuration space pertaining to the quantum Brownian motion of a particle in a tilted cosine potential in the high dissipation ͑or noninertial͒ limit as applied to a model point Josephson junction ͑namely, a resistively shunted junction in the presence of noise and an arbitrarily large microwave ac driving current͒ is considered. The solution of the resulting recurrence relations for the Fourier amplitudes of the statistical moments describing the nonlinear dynamics of the junction ͑ignoring the capacitance͒ is obtained using the matrix continued fractions previously developed for the stationary ac field solution of the corresponding classical problem. Quantum effects in the nonlinear response of the junction to an ac microwave current of arbitrary amplitude ͑nonlinear microwave impedance, frequency dependence of the dc current-voltage characteristic, etc.͒ are estimated.

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