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We carry out an extensive study of the phase diagram of the extended Bose Hubbard model, with a mean filling of one boson per site, in one dimension by using the density matrix renormalization group and show that it can have Superfluid…

Quantum Gases · Physics 2014-03-11 Jamshid Moradi Kurdestany , Ramesh V. Pai , Subroto Mukerjee , Rahul Pandit

The Bose-Hubbard Hamiltonian of spin-2 cold bosons with repulsive interaction in an optical lattice is proposed. After neglecting the hopping term, the site-independent Hamiltonian and its energy eigenvalues and eigenstates are obtained. We…

Soft Condensed Matter · Physics 2009-11-10 Jing-Min Hou , Mo-Lin Ge

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

We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average. The effective dynamics is governed by an atypical many-body Hamiltonian where only even-order hopping…

Quantum Gases · Physics 2025-12-04 Jesús Mateos , Gregor Pieplow , Charles Creffield , Fernando Sols

We review the physics of the Bose-Hubbard model with disorder in the chemical potential focusing on recently published analytical arguments in combination with quantum Monte Carlo simulations. Apart from the superfluid and Mott insulator…

Disordered Systems and Neural Networks · Physics 2015-06-16 Lode Pollet

We describe the ground state of a gas of bosonic atoms with two coherently coupled internal levels in a deep optical lattice in a one dimensional geometry. In the single-band approximation this system is described by a Bose-Hubbard…

Quantum Gases · Physics 2016-03-29 L. Barbiero , M. Abad , A. Recati

Quantum gases in optical lattices offer an opportunity to experimentally realize and explore condensed matter models in a clean, tunable system. We investigate the Bose-Hubbard model on a microscopic level using single atom-single lattice…

In this paper, we studied a generalized Bose-Hubbard model on a checkerboard lattice with topologically nontrivial flat-band. We used mean-field method to decouple the model Hamiltonian and obtained phase diagram by Landau theory of…

Quantum Gases · Physics 2015-06-05 Xing-Hai Zhang , Su-Peng Kou

We investigate the Bose glass phase and the insulator-to-superfluid transition in the two-dimensional disordered boson Hubbard model in the Villain representation via Monte Carlo simulations. In the Bose glass phase the probability…

Superconductivity · Physics 2015-06-25 J. Kisker , H. Rieger

Recently precise results for the boundary between the Mott insulator phase and the superfluid phase of the homogeneous Bose-Hubbard model have become available for arbitrary integer filling factor g and any lattice dimension d > 1. We use…

Other Condensed Matter · Physics 2009-11-18 Niklas Teichmann , Dennis Hinrichs

We investigate the zero temperature phase diagram of a gas of bosonic atoms in one- and two-color standing-wave lattices in the framework of the Bose-Hubbard model. We first introduce some relevant physical quantities; superfluid fraction,…

Statistical Mechanics · Physics 2009-11-10 R. Roth , K. Burnett

We studied the superfluid-to-Mott insulator transition for bosonic hard spheres loaded in asymmetric three-dimensional optical lattices by means of diffusion Monte Carlo calculations. The onset of the transition was monitored through the…

Quantum Gases · Physics 2015-06-18 F. De Soto , C. Carbonell-Coronado , M. C. Gordillo

We examine the zero and finite temperature phase diagrams of soft-core bosons of the extended Bose-Hubbard model on a square optical lattice. To study various quantum phases and their transitions we employ single-site and cluster Gutzwiller…

Quantum Gases · Physics 2020-07-23 K. Suthar , Hrushikesh Sable , Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , D. Angom

Systems of disordered interacting bosons with particle-hole symmetry can undergo a quantum phase transition between the superfluid phase and the Mott glass phase which is a gapless incompressible insulator. We employ large-scale Monte Carlo…

Strongly Correlated Electrons · Physics 2019-04-02 Cameron Lerch , Thomas Vojta

We study the phase diagram of two weakly coupled one-dimensional dipolar boson chains at half-odd-integer fillings. We find that the system contains a rich phase diagram. Four different phases are found. They are the Mott insulators, the…

Superconductivity · Physics 2009-11-13 Yu-Wen Lee

We report results from a systematic analytic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the dispersion of single particle and single hole excitations in the…

Condensed Matter · Physics 2009-10-31 N. Elstner , H. Monien

A system of coupled photonic cavities on a two-dimensional square lattice is systematically investigated using the stochastic series expansion quantum Monte Carlo method. The ground state phase diagram contains insulating phases with…

Other Condensed Matter · Physics 2008-08-18 Jize Zhao , Anders W. Sandvik , Kazuo Ueda

We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

Superfluid-insulator transitions in a one-dimensional mixture of two-color fermions and scalar bosons are studied within the framework of the Bose-Fermi-Hubbard model. Zero-temperature phase diagrams are constructed for repulsive…

Quantum Gases · Physics 2020-10-07 R. Avella , J. J. Mendoza-Arenas , R. Franco , J. Silva-Valencia

We investigate the interaction-induced superfluid-to-Mott insulator transition in the one-dimensional Bose-Hubbard model (BHM) for fillings $n=1$, $n=2$, and $n=3$ by studying the single-particle gap, the fidelity susceptibility, and the…

Strongly Correlated Electrons · Physics 2013-04-22 Juan Carrasquilla , Salvatore R. Manmana , Marcos Rigol