Quantum and classical resonant escapes of a strongly driven Josephson junction

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 14, 2010, Pages

  Yu, H F ^a   Zhu, X B ^a   Peng, Z H ^a   Cao, W H ^a   Cui, D J ^a   Tian, Ye ^a   Chen, G H ^a   Zheng, D N ^a   Jing, X N ^a   Lu, Li ^a   Zhao, S P ^a   Han, Siyuan ^b  

^a INSTITUTE OF PHYSICS   (China)

^b UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955207627     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.144518     Document Type: Article

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41. Resonant escape at 4.8 GHz involving two photons in Fig. is expected to require a larger driving power than single photon escape at 9.6 GHz in (a). However, the power levels at the output port of the microwave generator were - 37 and - 10 dBm for the two 0 dB curves in Figs., respectively, due to the different attenuations at different frequencies of the measurement system. Our measurement showed that the loss along the coaxial line from microwave generator to sample box at 4.8 GHz was about 10 dB less than that at 9.6 GHz. Furthermore, microwave was coupled to the junction via an electrical dipole antenna. The coupling between the antenna and the junction was weak and strongly frequency dependent so the final microwave power coupled to the junction for the two-photon process at 4.8 GHz was still larger than that for the single-photon process at 9.6 GHz. Similar results were observed, for example, in J. Lisenfeld, Ph.D. thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg, 2003.
42. Heating effect induced by microwave field was negligible in our experiment. If we consider the ac current magnitude to be less than I c, the maximum heating power is about 0.6 nW. This value is much smaller than that generated by junction's switching to the normal state (∼ 6 nW), which already shows negligible influence since the experimental T c r agrees well with the theory.
43. Such expansion is strict as ø → 0, and is reasonable when ø < π / 2 ∼ 1.5. From the results in Fig., the treatment can be safely used for the 9.6 GHz data in Fig., but can be inaccurate for those in Fig. at lower microwave frequency.
44. In the corresponding quantum picture, a particle excited to an energy level near the barrier top by multiphoton process has a smaller probability to MQT out of the potential well than to decay into lower energy levels in the well.