Heat transport through a Josephson junction

Abstract

We discuss heat transport through a Josephson tunnel junction under various bias conditions. We first derive the formula for the cooling power of the junction valid for arbitrary time dependence of the Josephson phase. Combining it with the classical equation of motion for the phase, we find the time averaged cooling power as a function of bias current or bias voltage. We also find the noise of the heat current and, more generally, the full counting statistics of the heat transport through the junction. We separately consider the metastable superconducting branch of the current-voltage characteristics allowing quantum fluctuations of the phase in this case. This regime is experimentally attractive since the junction has low power dissipation, low impedance and therefore may be used as a sensitive detector.

References in corpus (4)

• The Josephson heat interferometer
• Recombination limited energy relaxation in a BCS superconductor
• Normal metal - superconductor tunnel junction as a Brownian refrigerator
• Phase Modulated Thermal Conductance of Josephson Weak Links

Cited by in corpus (10)

• Josephson thermal memory
• Josephson-Threshold Calorimeter
• Energy backflow in strongly coupled non-Markovian continuous-variables systems
• Electronic heat current rectification in hybrid superconducting devices
• Fluctuation theorem for heat transport probed by a thermal electrode
• Superconducting quantum refrigerator: Breaking and rejoining Cooper pairs with magnetic field cycles
• Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions
• Josephson junction based thermometer and its application in bolometry
• Fluctuation of heat current in Josephson junctions
• Thermal transport through ac-driven transparent Josephson weak links