A New Model of Quantum Dot Light Emitting-Absorbing Devices

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.Мотивируемые моделью Джейнса-Каммингса (ДК), рассматриваем квантовую точку, соединенную одновременно с резервуаром фотонов и двумя электродами (нефермионными резервуарами). Новая модель Джейнса-Каммингса для электродов (ДКЭ) позволяет фермионному току, проходящему через точку, создавать поток фотонов, что является характеристикой светоизлучающего устройства. Та же самая модель используется для описания трансформации потока фотонов в ток фермионов, т.е. квантово-точечного светопоглощающего устройства. Ключевым средством для получения результатов стала абстрактная формула Ландауэра-Буттикера

A new model for quantum dot light emitting-absorbing devices : dedicated to the memory of Pierre Duclos

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 also describes a transformation of the photon flux into a fermion current, i.e. a quantum dot light-absorbing device. The key tool to obtain these results is an abstract Landauer-Büttiker formula

The Cayley transform applied to non-interacting quantum transport

We extend the Landauer-Büttiker formalism in order to accommodate both unitary and self-adjoint operators which are not bounded from below. We also prove that the pure point and singular continuous subspaces of the decoupled Hamiltonian do not contribute to the steady current. One of the physical applications is a stationary charge current formula for a system with four pseudo-relativistic semi-infinite leads and with an inner sample which is described by a Schrödinger operator defined on a bounded interval with dissipative boundary conditions. Another application is a current formula for electrons described by a one dimensional Dirac operator; here the system consists of two semi-infinite leads coupled through a point interaction at zero

A new model for quantum dot light emitting-absorbing devices

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