Jin Zhang, FCS in a Quantum Point Contact

We present details of an approach to computing the full counting statistics (FCS) of a quantum point contact (QPC) connecting two 1D wires at zero temperature. Our method gives a complete description of the charge transfer statistics of the device. We formulate the problem in terms of the eigenvalues of the density matrix for outgoing states in one of the leads. Where these cannot be computed analytically, we show that they are easily accessible numerically for arbitrary time-dependence (within the adiabatic limit) of the scattering quantum point contact and of any bias voltage applied between the leads. Two relevant potential applications, a quantum electronic entangler and single electron source on demand at low temperatures, are also discussed.