Theory of two-dimensional macroscopic quantum tunneling in a Josephson junction coupled with an LC circuit

@article{Kawabata2009TheoryOT,
  title={Theory of two-dimensional macroscopic quantum tunneling in a Josephson junction coupled with an LC circuit},
  author={Shiro Kawabata and Takeo Kato and Thilo Bauch},
  journal={arXiv: Superconductivity},
  year={2009},
  volume={150},
  pages={052105}
}
We investigate classical thermal activation (TA) and macroscopic quantum tunneling (MQT) for a Josephson junction coupled with an LC circuit theoretically. The TA and MQT escape rate are calculated analytically by taking into account the two-dimensional nature of the classical and quantum phase dynamics. We find that the MQT escape rate is largely suppressed by the coupling to the LC circuit. On the other hand, this coupling gives rise to slight reduction of the TA escape rate. These results… 
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