Nonlinear quantum fluctuation-dissipation relations

Olivier Parlavecchio, Carles Altimiras, J.-R. Souquet +7 more

We derive fluctuation-dissipation relations for a tunnel junction driven through a resonator displaying strong quantum fluctuations. We find that the fluctuation-dissipation relations derived for classical external drives hold, provided the effect of the circuit's quantum fluctuations is incorporated into the modified nonlinear current voltage characteristics. We also demonstrate that all quantities measured under a time dependent bias can be reconstructed from their values measured under a dc bias using photoassisted tunneling relations. 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.

Eric A. B. Cole

No¨elle Pottier, A. Mauger

Shiekh Zia Uddin, Nicholas Rivera, Devin Seyler +5 more

We present a new fluctuation-dissipation relation that shows how quantum noise transforms under engineered nonlinear dissipation found in many important nonlinear optical devices and validate the theory with experiments on nonlinear interferometers.

R. Tanaś

Rodolfo Figari, Patrizia Ruggiero, Marco Zannetti

The description of a quantum Brownian oscillator based on stochastic quantisation is applied to the non-equilibrium relaxation process. The quantum fluctuation-dissipation theorem is derived in a form which relates only the thermal component of the fluctuations to the response function. In the zero-temperature limit, it is shown that the transient is described by processes related to the solution of the nonlinear Schrodinger equation.