Large deviations of current in noisy many-body quantum systems: classical emergence and quantum corrections
Stefano Scopa (ENS)
In this talk I discuss the fluctuation statistics of currents in stochastic quantum chains at mesoscopic scales. The models considered are the QSSEP/QSSIP: quadratic fermionic or bosonic chains with stochastic nearest-neighbor hopping and boundary coupling to deterministic reservoirs. For these systems, the fluctuation statistics can be computed exactly. At large scales, the transport fluctuations coincide with those of the corresponding classical exclusion/inclusion processes. However, genuinely quantum effects persist as subleading corrections in the large-scale expansion of the fluctuation statistics. These quantum corrections are amenable to direct experimental or numerical verification, provided sufficient control over the noise realizations can be achieved.