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| related topics |
| {field, particle, equation} |
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| {equation, function, exp} |
| {operator, operators, space} |
| {level, atom, field} |
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Multipole interaction between atoms and their photonic environment
Martijn Wubs, L. G. Suttorp, A. Lagendijk
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0307031
- categories:
- quant-ph
- comments:
- 17 pages, to be published in Physical Review A
- doi:
- 10.1103/PhysRevA.68.013822
- arxiv_id:
- quant-ph/0307031
- journal_ref:
- Phys. Rev. A 68, 013822 (2003)
- created:
- 2003-07-04
Full article ▸
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