A. Quantum coherence and statistics of mesoscopic systems

We will study the position measurement of an oscillator by two tunnel junctions. We will inves-

tigate the Full Counting Statistics of driven mesoscopic transport and continue our calculation

of frequency-dependent cumulants of the transport current. Motivated by recent experiments

in the Tarucha group, we will calculate the temperature dependence and study finite-length

effects of Coulomb drag between quantum wires. We will investigate what can be learned from

measuring correlations in interacting quantum gases. In particular, we will study higher cu-

mulants to elucidate the nature of correlated many-body states of systems of ultracold atoms.

In addition, we will continue to investigate quantum coherent effects in systems of ultracold

atoms trapped by atomic waveguides or optical lattices. We will study the weak measurement

theory of solid-state qubits.

B. Mesoscopic superconductivity

We will investigate number fluctuations in a BCS superconductor/superfluid using a number-

conserving theory. We will investigate current cross-correlations in a superconducting beam

splitter if the superconductor is characterized by a non-trivial state.