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

O. Parlavecchio (1, 2) , C. Altimiras (1, 2) , J.-R. Souquet (3) , P. Simon (3) , I. Safi (3) , P. Joyez (1, 4) , Denis Vion (1, 4) , P. Roche (1, 2) , Daniel Esteve (1, 4) , F. Portier (1, 2)

1 SPEC - UMR3680 - Service de physique de l'état condensé
2 GNE - Groupe Nano-Electronique
3 LPS - Laboratoire de Physique des Solides
4 QUANTRONICS - Quantronics Group

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.

Mots clés: Fluctuation-Dissipation relation; Quantum Noise; Coulomb Blockade

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

O. Parlavecchio, C. Altimiras, J.-R. Souquet, P. Simon, I. Safi, et al.. Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit. Physical Review Letters, 2015, 114 (12), http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.126801. ⟨10.1103/PhysRevLett.114.126801⟩. ⟨hal-01067699v3⟩