2009/03/31 by Lode Pollet, L. Pollet, N. V. Prokof'ev +5 · 3 citations
Physics and Astronomy · #Bose–Hubbard model #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Hubbard model #Monte Carlo method #Mott insulator #Mott transition #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Superconductivity #Superfluidity #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.103.140402
published as Phys. Rev. Lett. 103, 140402 (2009) · 4 pages, 3 figures; replaced with resubmitted version
arxiv created 2009/05/27 · openalex publication_date 2009/09/28 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove the absence of a direct quantum phase transition between a superfluid and a Mott insulator in a bosonic system with generic, bounded disorder. We also prove the compressibility of the system on the superfluid-insulator critical line and in its neighborhood. These conclusions follow from a general theorem of inclusions, which states that for any transition in a disordered system, one can always find rare regions of the competing phase on either side of the transition line. Quantum Monte Carlo simulations for the disordered Bose-Hubbard model show an even stronger result, important for the nature of the Mott insulator to Bose glass phase transition: the critical disorder bound Delta(c) corresponding to the onset of disorder-induced superfluidity, satisfies the relation Delta(c)>Eg/2, with Eg/2 the half-width of the Mott gap in the pure system.