dorsal/arxiv
View SchemaEliminating ground-state dipole moments in quantum optics via canonical transformation
| Authors | Gediminas Juzeliunas, Luciana Davila Romero, David L. Andrews |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305006 |
| URL | https://arxiv.org/abs/quant-ph/0305006 |
| DOI | 10.1103/PhysRevA.68.043811 |
| Journal | Phys. Rev. A 68, 043811 (2003) |
Abstract
By means of a canonical transformation it is shown how it is possible to recast the equations for molecular nonlinear optics to completely eliminate ground-state static dipole coupling terms. Such dipoles can certainly play a highly important role in nonlinear optical response - but equations derived by standard methods, in which these dipoles emerge only as special cases of transition moments, prove unnecessarily complex. It has been shown that the elimination of ground-state static dipoles in favor of dipole shifts results in a considerable simplification in form of the nonlinear optical susceptibilities. In a fully quantum theoretical treatment the validity of such a procedure has previously been verified using an expedient algorithm, whose defense was afforded only by a highly intricate proof. In this paper it is shown how a canonical transformation method entirely circumvents such an approach; it also affords new insights into the formulation of quantum field interactions.
{
"annotation_id": "cdd5387c-1d6e-4597-b6f1-dd78353ab07c",
"date_created": "2026-03-02T18:01:59.803000Z",
"date_modified": "2026-03-02T18:01:59.803000Z",
"file_hash": "848326d16c29a692b6ab064b0a51e711de88d87ff575a1cfb6ddcb3ab06bcece",
"private": false,
"record": {
"abstract": "By means of a canonical transformation it is shown how it is possible to\nrecast the equations for molecular nonlinear optics to completely eliminate\nground-state static dipole coupling terms. Such dipoles can certainly play a\nhighly important role in nonlinear optical response - but equations derived by\nstandard methods, in which these dipoles emerge only as special cases of\ntransition moments, prove unnecessarily complex. It has been shown that the\nelimination of ground-state static dipoles in favor of dipole shifts results in\na considerable simplification in form of the nonlinear optical\nsusceptibilities. In a fully quantum theoretical treatment the validity of such\na procedure has previously been verified using an expedient algorithm, whose\ndefense was afforded only by a highly intricate proof. In this paper it is\nshown how a canonical transformation method entirely circumvents such an\napproach; it also affords new insights into the formulation of quantum field\ninteractions.",
"arxiv_id": "quant-ph/0305006",
"authors": [
"Gediminas Juzeliunas",
"Luciana Davila Romero",
"David L. Andrews"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.043811",
"journal_ref": "Phys. Rev. A 68, 043811 (2003)",
"title": "Eliminating ground-state dipole moments in quantum optics via canonical transformation",
"url": "https://arxiv.org/abs/quant-ph/0305006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a87cad52-2a95-4972-8ce6-2e1ccb275130",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}