2009/09/30 by I. Andric, Ivan Andrić, Larisa Jonke +4
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Coupling strength #Eigenvalues and eigenvectors #Fermion #Ground state #Hamiltonian (control theory) #Hamiltonian matrix #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Spectral gap #Statistical physics #Symmetric matrix #hep-th
paper · pdf · doi:10.1103/physrevd.80.107701
8 pages, 2 figs, v2 presentation improved, one reference added, to appear in PRD
arxiv created 2009/11/10 · openalex publication_date 2009/11/23 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a dynamical matrix model where the matrix is interpreted as a Hamiltonian representing interaction of a bosonic system with a single fermion. We show how a system of second-quantized fermions influences the ground state of the whole system by producing a gap between the highest eigenvalue of the occupied single-fermion states and the lowest eigenvalue of the unoccupied single-fermion states. We describe the development of the gap in both the strong and weak coupling regimes, while for the intermediate coupling strength we expect formation of homolumo kinks.