Quantum Phase-Slip Junction Under Microwave Irradiation

Abstract

We consider the dynamics of a quantum phase-slip junction (QPSJ) -- a dual Josephson junction -- connected to a microwave source with frequency ${\omega }_{\text{mw}}$. With respect to an ordinary Josephson junction, a QPSJ can sustain dual Shapiro steps, consisting of well-defined current plateaus at multiple integers of $e{\omega }_{\text{mw}}/\pi$ in the current-voltage (I-V) characteristic. The experimental observation of these plateaus has been elusive up to now. We argue that thermal as well as quantum fluctuations can smear the I-V characteristic considerably. In order to understand these effects, we study a current-biased QPSJ under microwave irradiation and connected to an inductive and resistive environment. We find that the effect of these fluctuations are governed by the resistance of the environment and by the ratio of the phase-slip energy and the inductive energy. Our results are of interest for experiments aimed at the observation of dual Shapiro steps in QPSJ devices for the definition of a new quantum current standard.

12 pages, 9 figures, comments and suggestions would be greatly appreciated

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• Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
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• Dual Shapiro steps of a phase-slip junction in the presence of a parasitic capacitance
• Modeling Bloch Oscillations in Nanoscale Josephson Junctions
• Collective quantum phase slips in multiple nanowire junctions
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Synchronization of Bloch oscillations by gate voltage modulation
• On chip AC driving for dual Shapiro steps
• Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work