Photonic heat transport across a Josephson junction

Abstract

We present a detailed study of photonic heat transport across a Josephson junction coupled to two arbitrary linear circuits having different temperatures. First, we consider the linear approximation, in which a nonlinear Josephson potential is replaced by a quadratic one and the junction acts as an inductor. Afterwards, we discuss the effects of junction anharmonicity. We separately consider the weak-coupling limit, in which the Bloch band structure of the junction energy spectrum plays an important role, and the opposite strong-coupling regime. We apply our general results to two specific models: a Josephson junction coupled to two Ohmic resistors and two resonators. We derive simple analytical approximations for the photonic heat flux in many limiting cases. We demonstrate that electric circuits with embedded Josephson junctions provide a useful platform for quantum thermodynamics experiments.

arXiv comment21 pages, 14 figures

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• Colloquium: Quantum heat transport in condensed matter systems
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• Heat transport through a superconducting artificial atom
• Bolometric detection of Josephson inductance in a highly resistive environment
• Quantifying the quantum heat contribution from a driven superconducting circuit
• Thermally pumped on-chip maser
• A quantum Stirling heat engine operating in finite time
• Phase-dependent transport in thermally-driven superconducting single-electron transistors
• Photonic heat transport through a Josephson junction in a resistive environment
• Negative differential thermal conductance by photonic transport in electronic circuits
• Down-conversion of quantum fluctuations of photonic heat current in a circuit
• Photonic heat transport from weak to strong coupling