Out of equilibrium statistical ensembles for mesoscopic rings coupled to   reservoirs
  We derive non equilibrium statistical ensembles for a ballistic Aharonov-Bohm loop connected to several electrodes connected to reservoirs with different chemical potentials. A striking consequence of these non trivial ensembles is the emergence of quantum zero point fluctuations of the persistent current around the loop. Detailed predictions for the low frequency noise power are given. 
S. Peysson, P. Degiovanni, B. Dou\c{c}ot and R. M\'elin