Trion and dimer formation in three-color fermions (Articolo in rivista)

Type
Label
  • Trion and dimer formation in three-color fermions (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevA.87.023617 (literal)
Alternative label
  • Pohlmann, J.; Privitera, A.; Titvinidze, I.; Hofstetter, W. (2013)
    Trion and dimer formation in three-color fermions
    in Physical review. A
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pohlmann, J.; Privitera, A.; Titvinidze, I.; Hofstetter, W. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 87 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Goethe University Frankfurt; Consiglio Nazionale delle Ricerche (CNR); International School for Advanced Studies; University of Hamburg (literal)
Titolo
  • Trion and dimer formation in three-color fermions (literal)
Abstract
  • We study the problem of three ultracold fermions in different hyperfine states loaded into a lattice with spatial dimension D = 1,2. We consider SU(3)-symmetric attractive interactions and also eventually include a three-body constraint, which mimics the effect of three-body losses in the strong-loss regime. We combine exact diagonalization with the Lanczos algorithm, and evaluate both the eigenvalues and the eigenstates of the problem. In D = 1, we find that the ground state is always a three-body bound state (trion) for arbitrarily small interaction, while in D = 2, due to the stronger influence of finite-size effects, we are not able to provide conclusive evidence of the existence of a finite threshold for trion formation. Our data are, however, compatible with a threshold value which vanishes logarithmically with the size of the system. Moreover, we are able to identify the presence of a fine structure inside the spectrum, which is associated with off-site trionic states. The characterization of these states shows that only the long-distance behavior of the eigenstate wave functions provides clear-cut signatures about the nature of bound states and that on-site observables are not enough to discriminate between them. The inclusion of a three-body constraint due to losses promotes these off-site trions to the role of lowest-energy states, at least in the strong-coupling regime. DOI: 10.1103/PhysRevA.87.023617 (literal)
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