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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 carry out an extensive study of the phase diagrams 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 contains Superfluid…

Quantum Gases · Physics 2012-11-26 Jamshid Moradi Kurdestany , Ramesh V. Pai , Subroto Mukerjee , Rahul Pandit

We propose a spinless Bose-Hubbard model in an one-dimensional (1D) double-chain tilted lattice at unit filling per cell. A subspace of this model can be faithfully mapped to the 1D transverse Ising model through superexchange interaction…

Quantum Gases · Physics 2021-04-14 Ren Liao , Fangyu Xiong , Xuzong Chen

We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al…

Other Condensed Matter · Physics 2009-11-11 S. R. Clark , D. Jaksch

We consider a square optical lattice in two dimensions and study the effects of both the strength and symmetry of spin-orbit-coupling (SOC) and Zeeman field on the ground-state, i.e., Mott insulator (MI) and superfluid (SF), phases and…

Quantum Gases · Physics 2014-04-07 A. T. Bolukbasi , M. Iskin

We have performed quantum Monte Carlo simulations to investigate the superfluid behavior of one- and two-dimensional interfaces separating checkerboard solid domains. The system is described by the hard-core Bose-Hubbard Hamiltonian with…

Other Condensed Matter · Physics 2009-11-13 Ş. G. Söyler , B. Capogrosso-Sansone , N. V. Prokof'ev , 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

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 consider a boundary between a Mott insulator and a superfluid region of a Bose-Hubbard model at unit filling. Initially both regions are decoupled and cooled to their respective ground states. We show that, after switching on a small…

Strongly Correlated Electrons · Physics 2008-02-20 Michael J. Hartmann , Martin B. Plenio

The competition between short-range and cavity-mediated infinite-range interactions in a cavity-boson system leads to the existence of a superfluid phase and a Mott-insulator phase within the self-organized regime. In this work, we…

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of…

Other Condensed Matter · Physics 2009-08-18 Jens Koch , Karyn Le Hur

We investigate the superfluid--Mott-insulator quantum phase transition of spin-1 bosons in an optical lattice created by pairs of counterpropagating linearly polarized laser beams, driving an $F_g=1$ to $F_e=1$ internal atomic transition.…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , M. Timmer , R. Graham

We present a detailed study of the Bose-Hubbard model in a $p$-band triangular lattice by focusing on the evolution of orbital order across the superfluid-Mott insulator transition. Two distinct phases are found in the superfluid regime.…

Strongly Correlated Electrons · Physics 2021-07-13 Hua Chen , X. C. Xie

Recent experiments revealed the importance of higher-band effects for the Mott insulator (MI) -- superfluid transition (SF) of ultracold bosonic atoms or mixtures of bosons and fermions in deep optical lattices [Best \emph{et al.}, PRL…

Quantum Gases · Physics 2013-05-29 Alexander Mering , Michael Fleischhauer

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

Motivated by the recent experiment on p-orbital band bosons in optical lattices, we study theoretically the quantum phases of Mott insulator and superfluidity in two-dimensions. The system features a novel superfluid phase with transversely…

Quantum Gases · Physics 2015-03-19 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

We study one-dimensional trapped Bose gases in the strongly interacting regime. The systems are created in an optical lattice and are subject to a longitudinal periodic potential. Bragg spectroscopy enables us to investigate the excitation…

Soft Condensed Matter · Physics 2009-11-10 Thilo Stöferle , Henning Moritz , Christian Schori , Michael Köhl , Tilman Esslinger

We study the Mott metal-insulator transition in the two-band Hubbard model with different hopping amplitudes $t_1$ and $t_2$ for the two orbitals on the two-dimensional square lattice by using {\it non-magnetic} variational wave functions,…

Strongly Correlated Electrons · Physics 2016-02-18 Luca F. Tocchio , Federico Arrigoni , Sandro Sorella , Federico Becca

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory recently developed by Bulla and Potthoff. The phase boundary of the metal-insulator…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Ono , R. Bulla , A. C. Hewson
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