Dissipation in microwave quantum circuits with hybrid nanowire Josephson elements

• Published in: Physics letters. A Vol. 381; no. 13; pp. 1192 - 1196
• Main Authors: Mugnai, D., Ranfagni, A., Agresti, A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 04.04.2017
• Subjects: Dissipative effects; Hybrid Josephson junctions; Macroscopic quantum tunneling; Hybrid Josephson junctions; Macroscopic quantum tunneling; Dissipative effects
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2017.02.002

Recent experiments on hybrid Josephson junctions have made the argument a topical subject. However, a quantity which remains still unknown is the tunneling (or response) time, which is strictly connected to the role that dissipation plays in the dynamics of the complete system. A simple way for evaluating dissipation in microwave circuits, previously developed for describing the dynamics of conventional Josephson junctions, is now presented as suitable for application even to non-conventional junctions. The method is based on a stochastic model, as derived from the telegrapher's equation, and is particularly devoted to the case of junctions loaded by real transmission lines. When the load is constituted by lumped-constant circuits, a connection with the stochastic model is also maintained. The theoretical model demonstrated its ability to analyze both classically-allowed and forbidden processes, and has found a wide field of applicability, namely in all cases in which dissipative effects cannot be ignored. •Dissipative effects in Hybrid Josephson junctions (HJJ) are evaluated.•We apply a known methodology to HJJ in order to obtain the response time of the system.•We present a new theoretical result and its application to HJJ in the case of lumped-constant circuits.