High-order cumulants in the counting statistics of asymmetric quantum dots

Abstract

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed examination of the counting statistics for varying symmetry of the quantum dot system. From the measured statistics we extract high order cumulants describing the distribution. Oscillations of the high order cumulants are observed when varying the symmetry. We compare this behavior to the observed oscillation in time dependence and show that the variation of both system variables lead to the same kind of oscillating response.

arXiv comment3 pages

References in corpus (15)

• Shot Noise in Mesoscopic Conductors
• Electron Counting Statistics and Coherent States of Electric Current
• Counting statistics of single-electron transport in a quantum dot
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Universal oscillations in counting statistics
• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Frequency-selective single photon detection using a double quantum dot
• A double-dot quantum ratchet driven by an independently biased quantum point contact
• Measurements of higher order noise correlations in a quantum dot with a finite bandwidth detector
• Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
• Shot noise in self-assembled InAs quantum dots
• Shot noise in tunneling through a single quantum dot
• High cumulants in the counting statistics measured for a quantum dot
• Strong oscillations of cumulants of photon distribution function in slightly squeezed states

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