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Vector Cooper Pairs and Coherent-Population-Trapping-like States in Ensemble of Interacting Fermions

A. V. Taichenachev, V. I. Yudin

quant-pharXiv:quant-ph/0702109

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 3He is also demonstrated.

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