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We investigate the effects of the adiabatic loading of optical lattices to the temperature by applying the mean-field approximation to the three-dimensional Bose-Hubbard model at finite temperatures. We compute the lattice-height dependence…

Other Condensed Matter · Physics 2009-11-13 S. Yoshimura , S. Konabe , T. Nikuni

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

The entropy-temperature curves are calculated for non-interacting bosons in a 3D optical lattice and a 2D lattice with transverse harmonic confinement for ranges of depths and filling factors relevant to current experiments. We demonstrate…

Soft Condensed Matter · Physics 2009-11-10 P. B. Blakie , J. V. Porto

In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical…

Statistical Mechanics · Physics 2009-11-11 K. P. Schmidt , A. Reischl , G. S. Uhrig

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the continuous (zero temperature) quantum phase…

Statistical Mechanics · Physics 2009-10-31 D. Jaksch , C. Bruder , J. I. Cirac , C. W. Gardiner , P. Zoller

We present a joint experimental and theoretical analysis to assess the adiabatic experimental preparation of ultracold bosons in optical lattices aimed at simulating the three-dimensional Bose-Hubbard model. Thermometry of lattice gases is…

Quantum Gases · Physics 2021-02-03 Cécile Carcy , Gaétan Hercé , Antoine Tenart , Tommaso Roscilde , David Clément

We consider the effects of temperature upon the superfluid phase of ultracold, weakly interacting bosons in a one dimensional optical lattice. We use a finite temperature treatment of the Bose-Hubbard model based upon the…

Statistical Mechanics · Physics 2009-11-11 B. G. Wild , P. B. Blakie , D. A. W. Hutchinson

The entropy-temperature curves are calculated for non-interacting Bose and Fermi gases in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate…

Statistical Mechanics · Physics 2009-11-11 P. B. Blakie , A. -M. Rey , A. Bezett

We calculate entropy-temperature curves for interacting bosons in unit filled optical lattices for both homogeneous and harmonically trapped situations, and use them to understand how adiabatic changes in the lattice depth affect the…

Statistical Mechanics · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , J. V. Porto

Optical lattice experiments, with the unique potential of tuning interactions and density, have emerged as emulators of nontrivial theoretical models that are directly relevant for strongly correlated materials. However, so far the finite…

Superconductivity · Physics 2015-05-13 Qi Zhou , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi

The entropy-temperature curves are calculated for non-interacting fermions in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate regimes where…

Other Condensed Matter · Physics 2007-05-23 P. B. Blakie , A. Bezett

We analyze the effects of adiabatic ramping of optical lattices on the temperature of spin-1 bosons in a homogeneous lattice. Using mean-field theory, we present the isentropes in the temperature-interaction strength ($T,U_0$) plane for…

Quantum Gases · Physics 2013-05-08 K. W. Mahmud , G. G. Batrouni , R. T. Scalettar

We study the superfluid-Mott insulator (SF-MI) transition in an one-dimensional optical lattice system, and employ the Bose-Hubbard model in two dimension with a combined potential of an optical lattice in one direction and a confining…

Quantum Gases · Physics 2014-02-06 Motoyoshi Inoue , Keita Kobayashi , Yusuke Nakamura , Yoshiya Yamanaka

We study the thermodynamics of ultracold Bose atoms in optical lattices by numerically diagonalizing the mean-field Hamiltonian of the Bose-Hubbard model. This method well describes the behavior of long-range correlations and therefore is…

Other Condensed Matter · Physics 2009-11-11 Xiancong Lu , Yue Yu

We discuss the superfluid to Mott-insulator transition of cold atoms in optical lattices recently observed by Greiner et.al. (Nature 415, 39 (2002)). The fundamental properties of both phases and their experimental signatures are discussed…

Strongly Correlated Electrons · Physics 2007-05-23 W. Zwerger

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…

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

Quantum Gases · Physics 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier

We present a quantitative finite temperature analysis of a recent experiment with Bose-Fermi mixtures in optical lattices, in which the dependence of the coherence of bosons on the inter-species interaction was analyzed. Our theory…

Quantum Gases · Physics 2013-05-29 M. Cramer

We experimentally and theoretically study the peak fraction of a Bose-Einstein condensate loaded into a cubic optical lattice as the lattice potential depth and entropy per particle are varied. This system is well-described by the…

Quantum Gases · Physics 2015-06-23 David McKay , Ushnish Ray , Stefan Natu , Philip Russ , David Ceperley , Brian DeMarco

In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to…

Quantum Gases · Physics 2015-03-20 Tomasz Sowiński
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