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We study the transition from a Mott insulator to a superfluid in both the two- and the three-dimensional Bose-Hubbard model at zero temperature, employing the method of the effective potential. Converting Kato's perturbation series into an…

Other Condensed Matter · Physics 2009-03-11 Niklas Teichmann , Dennis Hinrichs , Martin Holthaus , Andre Eckardt

We study, using quantum Monte-Carlo simulations, the bosonic Kondo-Hubbard model in a two dimensional square lattice. We explore the phase diagram and analyse the mobility of particles and magnetic properties. At unit filling, the…

Quantum Gases · Physics 2017-01-18 T. Flottat , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective…

Statistical Mechanics · Physics 2012-06-01 Zhi Lin , Jun Zhang , Ying Jiang

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…

Topological phase engineering of neutral bosons loaded in an optical lattice opens a new window for manipulating of transport phenomena in such systems. Exploiting the Bose Hubbard model and using the magnetic Kubo formula proposed in this…

Quantum Gases · Physics 2015-01-23 A. S. Sajna , T. P. Polak , R. Micnas

The one dimensional Bose-Hubbard model at a unit filling factor is studied by means of a very high order symbolic perturbative expansion. Analytical expressions are derived for the ground state quantities such as energy per site, variance…

Other Condensed Matter · Physics 2009-11-11 Bogdan Damski , Jakub Zakrzewski

We study stability of superflow of Bose gases in optical lattices by analyzing the Bose-Hubbard model within the Gutzwiller mean-field approximation. We calculate the excitation spectra of the homogeneous Bose-Hubbard model at unit filling…

Quantum Gases · Physics 2013-05-30 Takuya Saito , Ippei Danshita , Takeshi Ozaki , Tetsuro Nikuni

We predict a dynamical classical superfluid-insulator transition in a Bose-Einstein condensate (BEC) trapped in a combined optical and axially-symmetric harmonic potentials initiated by a periodic modulation of the radial trapping…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We consider ultracold bosons in a 2D square optical lattice described by the Bose-Hubbard model. In addition, an external time-dependent sinusoidal force is applied to the system, which shakes the lattice along one of the diagonals. The…

Quantum Gases · Physics 2015-03-19 M. Di Liberto , O. Tieleman , V. Branchina , C. Morais Smith

We report the experimental observation of the disruption of the superfluid atomic current flowing through an array of weakly linked Bose-Einstein condensates. The condensates are trapped in an optical lattice superimposed on a harmonic…

Soft Condensed Matter · Physics 2009-11-10 F. S. Cataliotti , L. Fallani , F. Ferlaino , C. Fort , P. Maddaloni , M. Inguscio

A half-filled-band Hubbard model on an anisotropic triangular lattice (t in two bond directions and t' in the other) is studied using an optimization variational Monte Carlo method, to consider the Mott transition and superconductivity…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

We study the quantum phases of bosons confined in a combined potential of a one-dimensional double-well optical lattice and a parabolic trap. We apply the time-evolving block decimation method to the corresponding two-legged Bose-Hubbard…

Other Condensed Matter · Physics 2008-06-21 Ippei Danshita , Carlos A. R. Sa de Melo , Charles W. Clark

We study transport dynamics of ultracold cesium atoms in a two-dimensional optical lattice across the superfluid-Mott insulator transition based on in situ imaging. Inducing the phase transition with a lattice ramping routine expected to be…

Quantum Gases · Physics 2010-04-28 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin

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 study the sweep through the quantum phase transition from the superfluid to the Mott state for the Bose-Hubbard model with a time-dependent tunneling rate $J(t)$. In the experimentally relevant case of exponential decay, $J(t)\propto…

Statistical Mechanics · Physics 2007-05-23 Ralf Schützhold , Michael Uhlmann , Yan Xu , Uwe R. Fischer

We investigate the nonlinear light-matter interaction of a Bose-Einstein condensate trapped in an external periodic potential inside an optical cavity which is weakly coupled to vacuum radiation modes and driven by a transverse pump field.…

Quantum Gases · Physics 2015-03-26 M. Reza Bakhtiari , Andreas Hemmerich , Helmut Ritsch , Michael Thorwart

Motivated by the experimental realization of synthetic spin-orbit coupling for ultracold atoms, we investigate the phase diagram of the Bose Hubbard model in a non-abelian gauge field in two dimensions. Using a strong coupling expansion in…

Quantum Gases · Physics 2012-10-09 William S. Cole , Shizhong Zhang , Arun Paramekanti , Nandini Trivedi