6533b7dafe1ef96bd126e031

RESEARCH PRODUCT

Detector's quantum backaction effects on a mesoscopic conductor and fluctuation-dissipation relation

Davide ValentiBernardo SpagnoloBernardo SpagnoloGiuseppe FalciGiuseppe FalciLuca MagazzùLuca MagazzùElisabetta PaladinoElisabetta PaladinoThierry Martin

subject

PhysicsMesoscopic physicsQuantum point contactGeneral Physics and AstronomyCharge (physics)Dissipation01 natural sciences010305 fluids & plasmasLangevin equationQuantum circuitQuantum mechanics0103 physical sciences010306 general physicsQuantum dissipationQuantum

description

When measuring quantum mechanical properties of charge transport in mesoscopic conductors, backaction effects occur. We consider a measurement setup with an elementary quantum circuit, composed of an inductance and a capacitor, as detector of the current flowing in a nearby quantum point contact. A quantum Langevin equation for the detector variable including backaction effects is derived. Differences with the quantum Langevin equation obtained in linear response are pointed out. In this last case, a relation between fluctuations and dissipation is obtained, provided that an effective temperature of the quantum point contact is defined.

https://doi.org/10.1002/prop.201600059