A New Model of Quantum Dot Light Emitting-Absorbing Devices

Hagen Neidhardt (1) , Lukas Wilhelm (1) , V.A. Zagrebnov (2)

1 WIAS - Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin]
2 I2M - Institut de Mathématiques de Marseille

Motivated by the Jaynes–Cummings (JC) model, we consider here a quantum dot coupled simultaneously to a reservoir of photons and two electric leads (free-fermion reservoirs). This new Jaynes–Cummings-leads (JCL)-type model makes it possible that the fermion current through the dot creates a photon flux, which describes a light-emitting device. The same model also describes a transformation of the photon flux into the current of fermions, i.e., a quantum dot light-absorbing device. The key tool to obtain these results is the abstract Landauer–Büttiker formula.

Keywords: Landauer–Büttiker formula; Jaynes–Cummings model; coupling to leads; light emission

Domains: Mathematical Physics [math-ph]

Hagen Neidhardt, Lukas Wilhelm, V.A. Zagrebnov. A New Model of Quantum Dot Light Emitting-Absorbing Devices. Journal of Mathematical Physics, Analysis, Geometry, 2014, 10 (3), pp.350-385. ⟨hal-01296514⟩