SPICE model implementation of quantum phase-slip junctions

Quantum phase-slips, which are the exact duals of Josephson junctions (JJs), are promising for several applications in classical and quantum superconducting electronic circuits. The experimental testing of the phase-slip phenomena and identifying these applications has been challenging. In this reported work, the use of a dual to a JJ model to implement a SPICE model of a quantum phase-slip junction (QPSJ) in JSPICE3, in order to explore possible circuit applications, is demonstrated. A transient analysis model of the device is presented and an example of an I-V curve simulation of the device, along with a simulation of a possible circuit application of the device, are also shown.