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We investigate the ab-initio phase diagram of ultracold 87-Rb atoms in an one-dimensional two-color superlattice. Using single-particle band structure calculations we map the experimental setup onto the parameters of the Bose-Hubbard model.…

Quantum Gases · Physics 2010-05-19 Felix Schmitt , Markus Hild , Robert Roth

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 present an analytic description of the finite-temperature phase diagram of the Bose-Hubbard model, successfully describing the physics of cold bosonic atoms trapped in optical lattices and superlattices. Based on a standard statistical…

Soft Condensed Matter · Physics 2007-05-23 Pierfrancesco Buonsante , Alessandro Vezzani

We analyze various quantum phases of ultracold bosonic atoms in a periodic one dimensional optical superlattice. Our studies have been performed using the finite size density matrix renormalization group (FS-DMRG) method in the framework of…

Quantum Gases · Physics 2015-05-27 Arya Dhar , Tapan Mishra , Ramesh V. Pai , B. P. Das

We present the zero-temperature phase diagram of bosonic atoms in an optical lattice, using two different mean-field approaches. The phase diagram consists of various insulating phases and a superfluid phase. We explore the nature of the…

Statistical Mechanics · Physics 2014-10-13 D. van Oosten , P. van der Straten , H. T. C. Stoof

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

We study quantum phases of ultracold bosonic atoms in a two-dimensional optical superlattice. The extended Bose-Hubbard model derived from the system of ultracold bosonic atoms in an optical superlattice is solved numerically with…

Other Condensed Matter · Physics 2008-03-31 Jing-Min Hou

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

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

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

Ever since the first observation of Bose-Einstein condensation in the nineties, ultracold quantum gases have been the subject of intense research, providing a unique tool to understand the behavior of matter governed by the laws of quantum…

Quantum Gases · Physics 2021-03-18 Santi Prestipino

Motivated by a recent experiment that realizes nearest-neighbor dipolar couplings in an optical lattice [C. Lagoin, $\textit{et al.}$, Nature $\textbf{609}$, 485 (2022)], we study a one-dimensional version of the two-component extended…

Quantum Gases · Physics 2025-06-05 Saisai He , Yang Liu , Bin Xi , Hong-Gang Luo , Qiang Luo , Jize Zhao

The energy spectrum of a system of Bose atoms in the superfluid phase in an optical lattice of the graphene type has been studied. The dispersion laws for the energy bands and the single particle spectral densities are calculated in the…

Quantum Gases · Physics 2014-11-21 I. V. Stasyuk , O. V. Velychko , I. R. Dulepa

We compute the phase diagram of the one-dimensional Bose-Hubbard model with a quasi-periodic potential by means of the density-matrix renormalization group technique. This model describes the physics of cold atoms loaded in an optical…

Strongly Correlated Electrons · Physics 2008-08-24 G. Roux , T. Barthel , I. P. McCulloch , C. Kollath , U. Schollwoeck , T. Giamarchi

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

We obtain the complete phase diagram of the hardcore Bose-Hubbard model in the presence of a period-two superlattice in two and three dimensions. First we acquire the phase boundaries between the superfluid phase and the `trivial'…

Quantum Gases · Physics 2010-09-01 Itay Hen , M. Iskin , Marcos Rigol

We investigate the phase diagram of a dimerized Bose-Hubbard model, using density matrix renormalization group technique. We find a new phase, which is the coexistence of superfluid and bond-wave phases, due to the effect of dimerization.…

Quantum Gases · Physics 2009-11-13 Anasuya Kundu , Swapan K Pat

We determine the phase diagram and the momentum distribution for a one-dimensional Bose gas with repulsive short range interactions in the presence of a two-color lattice potential, with incommensurate ratio among the respective wave…

Other Condensed Matter · Physics 2008-07-22 Xiaolong Deng , R. Citro , A. Minguzzi , E. Orignac

We study the Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain for the first time a complete phase diagram for a system in the presence of a harmonic trap and compare it with that of the…

Other Condensed Matter · Physics 2009-11-13 S. Ramanan , Tapan Mishra , Meetu Sethi Luthra , Ramesh V. Pai , B. P. Das

We calculated the phase diagram of a continuous system of hard spheres loaded in a quasi-one dimensional bichromatic optical lattice. The wavelengths of both lattice-defining lasers were chosen to model an incommensurate arrangement.…

Quantum Gases · Physics 2015-04-24 M. C. Gordillo , C. Carbonell-Coronado , F. De Soto
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