dorsal/arxiv
View SchemaMultipole interaction between atoms and their photonic environment
| Authors | Martijn Wubs, L. G. Suttorp, A. Lagendijk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307031 |
| URL | https://arxiv.org/abs/quant-ph/0307031 |
| DOI | 10.1103/PhysRevA.68.013822 |
| Journal | Phys. Rev. A 68, 013822 (2003) |
Abstract
Macroscopic field quantization is presented for a nondispersive photonic dielectric environment, both in the absence and presence of guest atoms. Starting with a minimal-coupling Lagrangian, a careful look at functional derivatives shows how to obtain Maxwell's equations before and after choosing a suitable gauge. A Hamiltonian is derived with a multipolar interaction between the guest atoms and the electromagnetic field. Canonical variables and fields are determined and in particular the field canonically conjugate to the vector potential is identified by functional differentiation as minus the full displacement field. An important result is that inside the dielectric a dipole couples to a field that is neither the (transverse) electric nor the macroscopic displacement field. The dielectric function is different from the bulk dielectric function at the position of the dipole, so that local-field effects must be taken into account.
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"abstract": "Macroscopic field quantization is presented for a nondispersive photonic\ndielectric environment, both in the absence and presence of guest atoms.\nStarting with a minimal-coupling Lagrangian, a careful look at functional\nderivatives shows how to obtain Maxwell\u0027s equations before and after choosing a\nsuitable gauge. A Hamiltonian is derived with a multipolar interaction between\nthe guest atoms and the electromagnetic field. Canonical variables and fields\nare determined and in particular the field canonically conjugate to the vector\npotential is identified by functional differentiation as minus the full\ndisplacement field. An important result is that inside the dielectric a dipole\ncouples to a field that is neither the (transverse) electric nor the\nmacroscopic displacement field. The dielectric function is different from the\nbulk dielectric function at the position of the dipole, so that local-field\neffects must be taken into account.",
"arxiv_id": "quant-ph/0307031",
"authors": [
"Martijn Wubs",
"L. G. Suttorp",
"A. Lagendijk"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.013822",
"journal_ref": "Phys. Rev. A 68, 013822 (2003)",
"title": "Multipole interaction between atoms and their photonic environment",
"url": "https://arxiv.org/abs/quant-ph/0307031"
},
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