dorsal/arxiv
View SchemaAlternative approach to electromagnetic field quantization in nonlinear and inhomogeneous media
| Authors | Lu-Ming Duan, Guang-Can Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9612009 |
| URL | https://arxiv.org/abs/quant-ph/9612009 |
| DOI | 10.1103/PhysRevA.56.925 |
| Journal | Phys. Rev. A 56 (1), 925 (1997) |
Abstract
A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by this quantization method. From Heisenberg's equations we derive Maxwell's equations for the field operators. When the nonlinearity goes to zero, this quantization method returns to the generalized canonical quantization procedure for linear inhomogeneous media [Phys. Rev. A, 43, 467, 1991]. The explicit Hamiltonians for the second-order and third-order nonlinear quasi-steady-state processes are obtained based on this quantization procedure.
{
"annotation_id": "f6d91f3c-3697-4da5-adaf-b0be44f91ff8",
"date_created": "2026-03-02T18:02:37.983000Z",
"date_modified": "2026-03-02T18:02:37.983000Z",
"file_hash": "350d73882a7dcaba98f52722ae1d82c77a5f5fbbde80da4c2f936e2c66a74f66",
"private": false,
"record": {
"abstract": "A simple approach is proposed for the quantization of the electromagnetic\nfield in nonlinear and inhomogeneous media. Given the dielectric function and\nnonlinear susceptibilities, the Hamiltonian of the electromagnetic field is\ndetermined completely by this quantization method. From Heisenberg\u0027s equations\nwe derive Maxwell\u0027s equations for the field operators. When the nonlinearity\ngoes to zero, this quantization method returns to the generalized canonical\nquantization procedure for linear inhomogeneous media [Phys. Rev. A, 43, 467,\n1991]. The explicit Hamiltonians for the second-order and third-order nonlinear\nquasi-steady-state processes are obtained based on this quantization procedure.",
"arxiv_id": "quant-ph/9612009",
"authors": [
"Lu-Ming Duan",
"Guang-Can Guo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.925",
"journal_ref": "Phys. Rev. A 56 (1), 925 (1997)",
"title": "Alternative approach to electromagnetic field quantization in nonlinear and inhomogeneous media",
"url": "https://arxiv.org/abs/quant-ph/9612009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "19c56e7c-30b2-4e39-ac69-1253268e5355",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}