On the Purcell effect beyond the dipole approximation
- Conference date: 24–26 October 2012
- Location: Bad Honnef, Germany
We investigate spontaneous emission from excitons in quantum dots beyond the dipole approximation and show how the symmetry of the exciton wavefunction plays a crucial role. We show explicitly that for spherically symmetric excitons, the Purcell effect is independent of the exciton size and is governed by the local density of optical states at the center of the exciton only, which is identical to the result derived with the dipole approximation. This surprising result is a spontaneous emission counterpart to the shell theorem of classical mechanics and electrostatics and provides new insights to the physics of mesoscopic emitters as well as great simplifications in practical calculations.
- Purcell effect
- Spontaneous emission
- Classical mechanics
- Quantum dots
- Wave functions
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