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Applying newly developed dynamical density matrix renormalization group techniques at zero and finite temperatures to a Hubbard-Holstein model at half-filling, we examine the optical conductivity of a typical one-dimensional Mott insulator…

Strongly Correlated Electrons · Physics 2010-11-30 Shigetoshi Sota , Takami Tohyama

We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and…

Quantum Gases · Physics 2016-01-20 Bogdan Damski , Jakub Zakrzewski

We introduce a one-dimensional (1D) spatially inhomogeneous Bose-Hubbard model (BHM) with the strength of the onsite repulsive interactions growing, with the discrete coordinate $z_{j}$, as $|z_{j}|^{\alpha }$ with $\alpha >0$. Recently,…

Quantum Gases · Physics 2015-01-16 L. Barbiero , B. A. Malomed , L. Salasnich

We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity…

Other Condensed Matter · Physics 2009-11-10 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

We investigate the interplay of temperature and trap effects in cold particle systems at their quantum critical regime, such as cold bosonic atoms in optical lattices at the transitions between Mott-insulator and superfluid phases. The…

Quantum Gases · Physics 2013-05-30 Giacomo Ceccarelli , Christian Torrero , Ettore Vicari

We study the occupation numbers and number fluctuations of ultra-cold atoms in deep optical lattices for finite temperatures within the Bose-Hubbard model. Simple analytical expressions for the mean occupation number and number fluctuations…

Soft Condensed Matter · Physics 2009-11-10 L. I. Plimak , M. Fleischhauer , M. K. Olsen

The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes critical at the tips of the so-called Mott lobes only. Employing…

Statistical Mechanics · Physics 2019-12-03 Sören Sanders , Martin Holthaus

The influence of disorder on ultracold atomic Bose gases in quasiperiodic optical lattices is discussed in the framework of the one-dimensional Bose-Hubbard model. It is shown that simple periodic modulations of the well depths generate a…

Statistical Mechanics · Physics 2018-03-14 R. Roth , K. Burnett

We study Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

We study the excitation spectrum of strongly correlated lattice bosons for the Mott-insulating phase and for the superfluid phase close to localization. Within a Schwinger-boson mean-field approach we find two gapped modes in the Mott…

Other Condensed Matter · Physics 2007-05-23 S. D. Huber , E. Altman , H. P. Büchler , G. Blatter

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 show that a site-dependent mean-field approach captures the quantum phases of the disordered Bose-Hubbard model commonly adopted to describe ultracold bosons in random optical lattice potentials. The different phases, namely superfluid,…

Soft Condensed Matter · Physics 2008-04-21 P. Buonsante , V. Penna , A. Vezzani , P. B. Blakie

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

We study the one-dimensional Bose-Hubbard model describing the superfluid-Mott insulator quantum phase transition of cold atoms in optical lattices. We show that derivatives of the variance of the on-site atom number occupation, computed…

Quantum Gases · Physics 2021-10-12 Mateusz Łącki , Bogdan Damski

We studied the appearance of Mott insulator domains of hard sphere bosons on quasi one-dimensional optical lattices when an harmonic trap was superimposed along the main axis of the system. Instead of the standard approximation represented…

Quantum Gases · Physics 2014-09-25 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

The zero-temperature phase diagram of a binary mixture of bosonic and fermionic atoms in an one-dimensional optical lattice is studied in the framework of the Bose-Fermi-Hubbard model. By exact numerical solution of the associated…

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

Single-particle spectral properties near the Mott transition in the one-dimensional Hubbard model are investigated by using the dynamical density-matrix renormalization group method and the Bethe ansatz. The pseudogap, hole-pocket behavior,…

Strongly Correlated Electrons · Physics 2012-02-17 Masanori Kohno

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 compute the energy absorbed by a one dimensional system of cold bosonic atoms in an optical lattice subjected to lattice amplitude modulation periodic with time. We perform the calculation for the superfluid and the Mott insulator…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Iucci , M. A. Cazalilla , A. Ho , T. Giamarchi

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni