Dynamics of indirect excitons in a coupled quantum-well pair

Abstract

The objective of this work is to numerically integrate in space and time the effective-mass Schrödinger equation for an excitonic wave packet in a coupled quantum-well system under a time-dependent electric field. Taking as a starting point a time-dependent Hartree potential, we derive the nonlinear dynamical evolution of the excitonic wave function. We found that the system resonant condition can be modified owing to the reaction field generated by a charge dynamically trapped in the quantum-well pair. As a result, this study raises a broader question: is it possible to create an electrostatic trap for indirect excitons at high ac frequencies? We conclude there is a possibility of having another kind of terahertz electromagnetic radiation emerging from an excitonic trap. PACS number(s): 73.20.Dx Electron states in low-dimensional structures, 73.40.Gk Tunneling, 73.50.-h Electronic transport phenomena in thin films.

Non-equilibrium dynamics in coupled quantum dots

“…Eqs. ( 10), ( 11) and ( 12) are solved by applying the standard split-step method [13]. The initial probability is set equal to 1.…”

“…2). The ψ 1,2 (z, t) wave functions in the z axis will be given by the nonlinear Schrodinger equations [13][14][15][16][17][18]…”

“…At this point, we note that the Hartree term is a nonlinear potential that depends on the wave function form. The Hartree potential is obtained as follows [13][14][15][16][17][18]]…”

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