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The experimental investigation of quantum phases in optical lattice systems provides major challenges. Recently, dynamical generation of double occupancy via modulation of the hopping amplitude t has been used to characterize the strongly…

Other Condensed Matter · Physics 2009-02-09 S. D. Huber , A. Rüegg

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

The Hubbard model on the honeycomb lattice undergoes a quantum phase transition from a semimetallic to a Mott insulating phase and from a disordered to an anti-ferromagnetically phase. We show that these transitions occur simultaneously and…

Strongly Correlated Electrons · Physics 2022-07-26 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We study the softcore extended Bose Hubbard model in a two-dimensional triangular lattice by using the quantum Monte Carlo methods. The ground state phase diagram of the system exhibits a very fruitful structure. Except the Mott insulating…

Strongly Correlated Electrons · Physics 2015-06-25 Jing-Yu Gan , Yu-Chuan Wen , Yue-Yu

We study two models realized by two-component Fermi gases loaded in optical lattices. We clarify that multi-band effects inevitably caused by the optical lattices generate a rich structure, when the systems crossover from the region of…

Quantum Gases · Physics 2015-05-14 Ryota Watanabe , Masatoshi Imada

In this work, results are presented of Hybrid-Monte-Carlo simulations of the tight-binding Hamiltonian of graphene, coupled to an instantaneous long-range two-body potential which is modeled by a Hubbard-Stratonovich auxiliary field. We…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Lorenz von Smekal

An ultracold gas of coupled two-component atoms in an optical field is studied. Due to the internal two-level structure of the atoms, three competing energy terms exist; atomic kinetic, atomic internal, and atom-atom interaction energies. A…

Other Condensed Matter · Physics 2009-09-11 Jonas Larson , Jani-Petri Martikainen

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. A. Cazalilla

We show that the dynamics of cold bosonic atoms in a two-dimensional square optical lattice produced by a bichromatic light-shift potential is described by a Bose-Hubbard model with an additional effective staggered magnetic field. In…

Quantum Gases · Physics 2009-11-13 Lih-King Lim , C. Morais Smith , Andreas Hemmerich

In this paper, we study Bose-Hubbard models on the square and honeycomb lattices with complex hopping amplitudes, which are feasible by recent experiments of cold atomic gases in optical lattices. To clarify phase diagrams, we use an…

Quantum Gases · Physics 2016-01-06 Yoshihito Kuno , Takashi Nakafuji , Ikuo Ichinose

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

We study one-dimensional truncated (no more than 2 particles on a site) bosonic Hubbard model in both repulsive and attractive regimes by exact diagonalization and exact worldline Monte Carlo simulation. In the commensurate case (one…

Condensed Matter · Physics 2009-10-30 V. A. Kashurnikov , A. V. Krasavin , B. V. Svistunov

We study the effects of spin-orbit coupling on the Mott-superfluid transition of bosons in a one-dimensional optical lattice. We determine the strong coupling magnetic phase diagram by a combination of exact analytic and numerical means.…

Strongly Correlated Electrons · Physics 2014-05-26 Zhihao Xu , William Cole , Shizhong Zhang

We investigate the metal-insulator transition in the half-filled Hubbard model on a two-dimensional triangular lattice using both the Kotliar-Ruckenstein slave-boson technique, and exact numerical diagonalization of finite clusters.…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Luca Capriotti , Federico Becca , Sergio Caprara

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

We study the three-dimensional bosonic t-J model, i.e., the t-J model of "bosonic electrons", at finite temperatures. This model describes the $s={1 \over 2}$ Heisenberg spin model with the anisotropic exchange coupling $J_{\bot}=-\alpha…

Strongly Correlated Electrons · Physics 2015-06-03 Y. Nakano , T. Ishima , N. Kobayashi , T. Yamamoto , I. Ichinose , T. Matsui

Fermionic atoms in optical lattices have served as a compelling model system to study and emulate the physics of strongly-correlated matter. Driven by the advances of high-resolution microscopy, the recent focus of research has been on…

Quantum Gases · Physics 2023-10-30 Marcell Gall , Nicola Wurz , Jens Samland , Chun Fai Chan , Michael Köhl

We investigate the dynamics of the one-dimensional strongly repulsive spin-1/2 Bose-Hubbard model for filling $\nu\le1.$ While at $\nu=1$ the system is a Hubbard-Mott insulator exhibiting dynamical properties of the Heisenberg ferromagnet,…

Other Condensed Matter · Physics 2013-05-29 M. B. Zvonarev , V. V. Cheianov , T. Giamarchi

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi