Interaction of quantum dot molecules with multi-mode radiation fields
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Publication:711369
zbMATH Open1200.81167arXiv0911.1630MaRDI QIDQ711369
Publication date: 26 October 2010
Published in: Scientia Iranica. Transactions D: Computer Science \& Engineering, Electrical Engineering (Search for Journal in Brave)
Abstract: In this article, the interaction of an arbitrary number of quantum dots, behaving as artificial molecules, with different energy levels and multi-mode electromagnetic field is studied. We make the assumption that each quantum dot can be represented as an atom with zero kinetic energy, and that all excitonic effects except dipole-dipole interactions may be disregarded. We use Jaynes-Cummings-Paul model with applications to quantum systems based on a time-dependent Hamiltonian and entangled states. We obtain a system of equations describing the interaction and present a method to solve the equations analytically for a single mode field within the Rotating-Wave Approximation. As an example of the applicability of this approach, we solve the system of two two-level quantum dots in a lossless cavity with two modes of electromagnetic field. We furthermore study the evolution of entanglement by defining and computing the concurrency.
Full work available at URL: https://arxiv.org/abs/0911.1630
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum dots as quasi particles (81V65) Statistical mechanics of nanostructures and nanoparticles (82D80)
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