dorsal/arxiv
View SchemaVector Cooper Pairs and Coherent-Population-Trapping-like States in Ensemble of Interacting Fermions
| Authors | A. V. Taichenachev, V. I. Yudin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702109 |
| URL | https://arxiv.org/abs/quant-ph/0702109 |
| DOI | 10.1140/epjd/e2008-00115-2 |
Abstract
Using the standard Hamiltonian of the BCS theory, we show that in an ensemble of interacting fermions with the spin 1/2 there exist coherent states $|NC>$, which nullify the Hamiltonian of the interparticle interaction (scattering). These states have an analogy with the well-known in quantum optics the coherent population trapping (CPT) effect. The structure of these CPT-like states corresponds to Cooper pairs with the total spin $S$=1. The found states have a huge degree of degeneracy and carry a macroscopic magnetic moment, that allows us to construct a new model of the magnetism connected with the delocalized electrons in metals (conductors). A principal possibility to apply the obtained results to the superfluid $^3$He is also demonstrated.
{
"annotation_id": "10f401cc-235f-48eb-bbd8-ef4036234e11",
"date_created": "2026-03-02T18:02:34.659000Z",
"date_modified": "2026-03-02T18:02:34.659000Z",
"file_hash": "e6bb283a374d35541be823718262b788d8a603901d7528c7dc3a1e85e464ead7",
"private": false,
"record": {
"abstract": "Using the standard Hamiltonian of the BCS theory, we show that in an ensemble\nof interacting fermions with the spin 1/2 there exist coherent states $|NC\u003e$,\nwhich nullify the Hamiltonian of the interparticle interaction (scattering).\nThese states have an analogy with the well-known in quantum optics the coherent\npopulation trapping (CPT) effect. The structure of these CPT-like states\ncorresponds to Cooper pairs with the total spin $S$=1. The found states have a\nhuge degree of degeneracy and carry a macroscopic magnetic moment, that allows\nus to construct a new model of the magnetism connected with the delocalized\nelectrons in metals (conductors). A principal possibility to apply the obtained\nresults to the superfluid $^3$He is also demonstrated.",
"arxiv_id": "quant-ph/0702109",
"authors": [
"A. V. Taichenachev",
"V. I. Yudin"
],
"categories": [
"quant-ph",
"cond-mat.str-el",
"cond-mat.supr-con",
"physics.atom-ph"
],
"doi": "10.1140/epjd/e2008-00115-2",
"title": "Vector Cooper Pairs and Coherent-Population-Trapping-like States in Ensemble of Interacting Fermions",
"url": "https://arxiv.org/abs/quant-ph/0702109"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dda7ae82-02bf-42ba-8038-58071c19944e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}