Interference effects in the counting statistics of electron transfers through a double quantum dot

Abstract

We investigate the effect of quantum interferences and Coulomb interaction on the counting statistics of electrons crossing a double quantum dot in a parallel geometry using a generating function technique based on a quantum master equation approach. The skewness and the average residence time of electrons in the dots are shown to be the quantities most sensitive to interferences and Coulomb coupling. The joint probabilities of consecutive electron transfer processes show characteristic temporal oscillations due to interference. The steady-state fluctuation theorem which predicts a universal connection between the number of forward and backward transfer events is shown to hold even in the presence of Coulomb coupling and interference.

11 pages, 12 figures

References in corpus (8)

• Full counting statistics of nano-electromechanical systems
• The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
• Interference Effects on Kondo-Assisted Transport through Double Quantum Dots
• Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
• Effect of inhomogeneous magnetic flux on double-dot Aharonov-Bohm Interferometer
• Statistics of charge transfer in a tunnel junction coupled to an oscillator
• Quantum measurement in the charge representation
• Indirect Exchange Interaction between two Quantum Dots in an Aharonov-Bohm Ring