Matter waves in two-dimensional arbitrary atomic crystals
Anno: 2014
Autori: Bartolo N., Antezza M.
Affiliazione autori: Univ Montpellier 2, Lab Charles Coulomb UMR 5221, F-34095 Montpellier, France; CNRS, Lab Charles Coulomb UMR 5221, F-34095 Montpellier, France; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Inst Univ France, F-75005 Paris, France.
Abstract: We present a general scheme to realize a cold-atom quantum simulator of bidimensional atomic crystals. Our model is based on the use of two independently trapped atomic species: the first one, subject to a strong in-plane confinement, constitutes a two-dimensional matter wave which interacts only with atoms of the second species, deeply trapped around the nodes of a two-dimensional optical lattice. By introducing a general analytic approach we show that the system Green function can be exactly determined, allowing for the investigation of the matter-wave transport properties. We propose some illustrative applications to both Bravais (square, triangular) and non-Bravais (graphene, kagome) lattices, studying both ideal periodic systems and experimental-size and disordered ones. Some remarkable spectral properties of these atomic artificial lattices are pointed out, such as the emergence of single and multiple gaps, flat bands, and Dirac cones. All these features can be manipulated via the interspecies interaction, which proves to be widely tunable due to the interplay between scattering length and confinements.
Giornale/Rivista: PHYSICAL REVIEW A
Volume: 90 (3) Da Pagina: 33617-1 A: 33617-13
Parole chiavi: Insulator Transition; Mott Insulator; Superfluid; Graphene; GasesDOI: 10.1103/PhysRevA.90.033617Citazioni: 3dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
