Unified single-photon and single-electron counting statistics: from cavity-QED to electron transport

Abstract

A key ingredient of cavity quantum-electrodynamics (QED) is the coupling between the discrete energy levels of an atom and photons in a single-mode cavity. The addition of periodic ultra-short laser pulses allows one to use such a system as a source of single photons; a vital ingredient in quantum information and optical computing schemes. Here, we analyze and ``time-adjust'' the photon-counting statistics of such a single-photon source, and show that the photon statistics can be described by a simple `transport-like' non-equilibrium model. We then show that there is a one-to-one correspondence of this model to that of non-equilibrium transport of electrons through a double quantum dot nanostructure. Then we prove that the statistics of the tunnelling electrons is equivalent to the statistics of the emitted photons. This represents a unification of the fields of photon counting statistics and electron transport statistics. This correspondence empowers us to adapt several tools previously used for detecting quantum behavior in electron transport systems (e.g., super-Poissonian shot noise, and an extension of the Leggett-Garg inequality) to single-photon-source experiments.

8 pages, 3 figures

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• A macro-realism inequality for opto-electro-mechanical systems
• Delocalized single-photon Dicke states and the Leggett- Garg inequality in solid state systems
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Disorder-Induced Strongly Correlated Photons in Waveguide QED
• Violations of the Leggett-Garg inequality for coherent and cat states
• Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations