Bunching and anti-bunching in electronic transport

Abstract

In quantum optics the $g^{(2)}$-function is a standard tool to investigate photon emission statistics. We define a $g^{(2)}$-function for electronic transport and use it to investigate the bunching and anti-bunching of electron currents. Importantly, we show that super-Poissonian electron statistics do not necessarily imply electron bunching, and that sub-Poissonian statistics do not imply anti-bunching. We discuss the information contained in $g^{(2)}(\tau )$ for several typical examples of transport through nano-structures such as few-level quantum dots.

8 pages, 5 figures

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• Counting Statistics of Non-Markovian Quantum Stochastic Processes
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
• Non-Markovian effects in the Quantum noise of interacting nanostructures
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• Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with arbitrarily large coupling parameter
• Interference and shot noise in a degenerate Anderson-Holstein model
• Universal $1/3$-suppression of magnonic shot noise in diffusive insulating magnets
• Synchronized coherent charge oscillations in coupled double quantum dots