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Trionic phase of ultracold fermions in an optical lattice: A variational study

2007/07/31 by Akos Rapp, Ákos Rapp, Walter Hofstetter +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Strong Light-Matter Interactions #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.77.144520

published as Phys. Rev. B 77, 144520 (2008) · 14 PRB pages, 8 figures

openalex publication_date 2008/04/22 · arxiv created 2008/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To investigate ultracold fermionic atoms of three internal states (colors) in an optical lattice, subject to strong attractive interaction, we study the attractive three-color Hubbard model in infinite dimensions by using a variational approach. We find a quantum phase transition between a weak-coupling superconducting phase and a strong-coupling trionic phase where groups of three atoms are bound to a composite fermion. We show how the Gutzwiller variational theory can be reformulated in terms of an effective field theory with three-body interactions and how this effective field theory can be solved exactly in infinite dimensions by using the methods of dynamical mean field theory.

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