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We present a phase diagram of Bose-Hubbard model with on-site chemical potential disorder at two dimensions within the scope of mean-field theory. The phase diagram in the disorder strength ($\Delta$) and the on-site repulsion ($U$) for…

Quantum Gases · Physics 2025-08-08 Manjari Gupta

We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a…

Quantum Gases · Physics 2014-10-29 Joseph Saliba , Pierre Lugan , Vincenzo Savona

The scaling of the conductivity at the superfluid-insulator quantum phase transition in two dimensions is studied by numerical simulations of the Bose-Hubbard model. In contrast to previous studies, we focus on properties of this model in…

Other Condensed Matter · Physics 2009-11-11 Jurij Smakov , Erik Sorensen

By the example of Heisenberg $d$-dimensional disordered non-frustrated antiferromagnets, we discuss quantum transitions at $d\ge2$ from magnetically ordered (superfluid) to various disorder-induced insulating phases (Bose-glass, Mott-glass,…

Strongly Correlated Electrons · Physics 2023-02-27 A. V. Syromyatnikov , F. D. Timkovskii

We study the nature of the superfluid--insulator quantum phase transition in a one-dimensional system of lattice bosons with off-diagonal disorder in the limit of large integer filling factor. Monte Carlo simulations of two strongly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Karén G. Balabanyan , Nikolay Prokof'ev , Boris Svistunov

We probe the transition between superfluid and Bose glass phases using quantum quenches of disorder in an ultracold atomic lattice gas that realizes the disordered Bose-Hubbard model. Measurements of excitations generated by the quench…

Quantum Gases · Physics 2016-07-20 C. Meldgin , U. Ray , P. Russ , D. Ceperley , B. DeMarco

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

Quantum Gases · Physics 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

We use quantum Monte Carlo simulations to study the phase diagram of hard-core bosons with short-ranged {\it attractive} interactions, in the presence of uniform diagonal disorder. It is shown that moderate disorder stabilizes a glassy…

Disordered Systems and Neural Networks · Physics 2013-05-29 Long Dang , Massimo Boninsegni , Lode Pollet

We investigate the superfluid-insulator quantum phase transition of one-dimensional bosons with off-diagonal disorder by means of large-scale Monte-Carlo simulations. For weak disorder, we find the transition to be in the same universality…

Disordered Systems and Neural Networks · Physics 2013-01-03 Fawaz Hrahsheh , Thomas Vojta

One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte…

Other Condensed Matter · Physics 2009-11-13 Barbara Capogrosso-Sansone , Şebnem Güneş Söyler , Nikolay Prokof'ev , Boris Svistunov

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

We present numerical evidence from Monte Carlo simulations that the superfluid-insulator quantum phase transition of interacting bosons subject to strong disorder in one dimension is controlled by the strong-randomness critical point. At…

Disordered Systems and Neural Networks · Physics 2013-12-04 Susanne Pielawa , Ehud Altman

We develop a strategy for calculating critical exponents for the Mott insulator-to-superfluid transition shown by the Bose-Hubbard model. Our approach is based on the field-theoretic concept of the effective potential, which provides a…

Quantum Physics · Physics 2014-01-06 Dennis Hinrichs , Axel Pelster , Martin Holthaus

The phase diagram of the Bose-Hubbard model in the presence of off-diagonal disorder is determined using Quantum Monte Carlo simulations. A sequence of quantum glass phases intervene at the interface between the Mott insulating and the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pinaki Sengupta , Stephan Haas

We investigate the behavior of the quasi-particle energy gap near quantum phase transitions in a two-dimensional disordered boson Hubbard model at a commensurate filling. Via Monte Carlo simulations of ensembles with fixed numbers of…

Strongly Correlated Electrons · Physics 2009-11-11 Ji-Woo Lee , Min-Chul Cha

We study the continuum version of the dual theory for a system of two-dimensional, zero temperature, disordered bosons, interacting with short range repulsion and at a commensurate density. The dual theory, which describes vortices in the…

Superconductivity · Physics 2009-10-30 Igor F. Herbut

We numerically study the superconductor-insulator phase transition in a model disordered 2D superconductor as a function of applied magnetic field. The calculation involves quantum Monte Carlo calculations of the (2+1)D XY model in the…

Superconductivity · Physics 2009-11-13 Kwangmoo Kim , David Stroud

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than it has been done…

Other Condensed Matter · Physics 2007-07-12 B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

Quantum Gases · Physics 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev

We study the effect of commensurability (integer filling factor) on the superfluid (SF) - Bose-glass (BG) transition in a one-dimensional disordered system in the limit of weak disorder, when the effect is most pronounced and, on the other…

Condensed Matter · Physics 2009-10-28 Boris V. Svistunov