dorsal/arxiv
View SchemaQuantum Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers
| Authors | Holger F. Hofmann, O. Hess |
|---|---|
| Categories | |
| ArXiv ID | physics/9807011 |
| URL | https://arxiv.org/abs/physics/9807011 |
| DOI | 10.1103/PhysRevA.59.2342 |
| Journal | Phys. Rev. A 59, 2342 (1999) |
Abstract
We present quantum Maxwell-Bloch equations (QMBE) for spatially inhomogeneous semiconductor laser devices. The QMBE are derived from fully quantum mechanical operator dynamics describing the interaction of the light field with the quantum states of the electrons and the holes near the band gap. By taking into account field-field correlations and field-dipole correlations, the QMBE include quantum noise effects which cause spontaneous emission and amplified spontaneous emission. In particular, the source of spontaneous emission is obtained by factorizing the dipole-dipole correlations into a product of electron and hole densities. The QMBE are formulated for general devices, for edge emitting lasers and for vertical cavity surface emitting lasers, providing a starting point for the detailed analysis of spatial coherence in the near field and far field patterns of such laser diodes. Analytical expressions are given for the spectra of gain and spontaneous emission described by the QMBE. These results are applied to the case of a broad area laser, for which the frequency and carrier density dependent spontaneous emission factor beta and the evolution of the far field pattern near threshold are derived.
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"abstract": "We present quantum Maxwell-Bloch equations (QMBE) for spatially inhomogeneous\nsemiconductor laser devices. The QMBE are derived from fully quantum mechanical\noperator dynamics describing the interaction of the light field with the\nquantum states of the electrons and the holes near the band gap. By taking into\naccount field-field correlations and field-dipole correlations, the QMBE\ninclude quantum noise effects which cause spontaneous emission and amplified\nspontaneous emission. In particular, the source of spontaneous emission is\nobtained by factorizing the dipole-dipole correlations into a product of\nelectron and hole densities. The QMBE are formulated for general devices, for\nedge emitting lasers and for vertical cavity surface emitting lasers, providing\na starting point for the detailed analysis of spatial coherence in the near\nfield and far field patterns of such laser diodes. Analytical expressions are\ngiven for the spectra of gain and spontaneous emission described by the QMBE.\nThese results are applied to the case of a broad area laser, for which the\nfrequency and carrier density dependent spontaneous emission factor beta and\nthe evolution of the far field pattern near threshold are derived.",
"arxiv_id": "physics/9807011",
"authors": [
"Holger F. Hofmann",
"O. Hess"
],
"categories": [
"physics.optics",
"adap-org",
"cond-mat",
"nlin.AO",
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.2342",
"journal_ref": "Phys. Rev. A 59, 2342 (1999)",
"title": "Quantum Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers",
"url": "https://arxiv.org/abs/physics/9807011"
},
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