An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz
Anno: 2003
Autori: Carusotto I., Castin Y.
Affiliazione autori: Ecole Normale Super, Lab Kastler Brossel, F-75231 Paris 05, France.
Abstract: We extend our exact reformulation of the bosonic many-body problem in terms of a stochastic Hartree ansatz to a stochastic Gutzwiller ansatz for the Bose – Hubbard model. The use of this ansatz makes the corresponding Monte Carlo scheme more efficient for strongly correlated bosonic phases like the Mott insulator phase or the Tonks phase. We present a first numerical application of this stochastic method to a system of impenetrable bosons on a 1D lattice showing the transition from the discrete Tonks gas to the Mott phase as the chemical potential is increased.
Giornale/Rivista: NEW JOURNAL OF PHYSICS
Volume: 5 Da Pagina: 91-1 A: 91-13
Parole chiavi: Josephson-junction Arrays; Quantum Phase-transition; Einstein Condensate; Mott Insulator; Superfluid; Coherence; Field; Gas; AtomsDOI: 10.1088/1367-2630/5/1/391Citazioni: 15dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-03-16Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
