BCS-to-BEC crossover from the exact BCS solution

G. Ortiz and J. Dukelsky
Phys. Rev. A 72, 043611 – Published 21 October 2005

Abstract

The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in superconducting and Fermi superfluid media is studied from the exact ground state wave function of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed system of quasifree fermions and pair resonances (BCS), to pair resonances and quasibound molecules (pseudogap), and finally to a system of quasibound molecules (BEC). A single unified scenario arises where the Cooper-pair wave function has a unique functional form. Several exact analytic expressions such as the binding energy and condensate fraction are derived. We compare our results with recent experiments in ultracold atomic Fermi gases.

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  • Received 6 April 2005

DOI:https://doi.org/10.1103/PhysRevA.72.043611

©2005 American Physical Society

Authors & Affiliations

G. Ortiz1 and J. Dukelsky2

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 2Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain

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Issue

Vol. 72, Iss. 4 — October 2005

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