A new model for quantum dot light emitting-absorbing devices: proofs and supplements

H. Neidhardt (1) , L. 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 to two electric leads (free-fermion reservoirs). This Jaynes-Cummings-Leads (JCL) model makes possible that the fermion current through the dot creates a photon flux, which describes a light-emitting device. The same model is also describe a transformation of the photon flux into current of fermions, i.e. a quantum dot light-absorbing device. The key tool to obtain these results is an abstract Landauer-Büttiker formula.

Mots clés: light emission; coupling to leads; Landauer-Büttiker formula; Jaynes-Cummings model; solar cells

Domaines: Physique mathématique [math-ph]

H. Neidhardt, L. Wilhelm, V.A. Zagrebnov. A new model for quantum dot light emitting-absorbing devices: proofs and supplements. Nanosystems: Physics, Chemistry, Mathematics, 2015, 6 (1), pp.6-45. ⟨10.17586/2220-8054-2015-6-1-6-45⟩. ⟨hal-00919509⟩