Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit

Abstract

We derive fluctuation-dissipation relations for a tunnel junction driven by a high impedance microwave resonator, displaying strong quantum fluctuations. We find that the fluctuation-dissipation relations derived for classical forces hold, provided the effect of the circuit's quantum fluctuations is incorporated into a modified non-linear $I(V)$ curve. We also demonstrate that all quantities measured under a coherent time dependent bias can be reconstructed from their dc counterpart with a photo-assisted tunneling relation. We confirm these predictions by implementing the circuit and measuring the dc current through the junction, its high frequency admittance and its current noise at the frequency of the resonator.

Publisehd as Physical Review Letters, 114, 126801

References in corpus (8)

• Frequency-selective single photon detection using a double quantum dot
• Using a quantum dot as a high-frequency shot noise detector
• Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Dynamical Coulomb Blockade of Shot Noise
• Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial
• Photon-assisted tunneling with non-classical light
• Detection of finite frequency current moments with a dissipative resonant circuit

Cited by in corpus (2)

• Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with arbitrarily large coupling parameter
• Renormalization of Electromagnetic Quantities in Small Josephson Junctions