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Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects induce an atom density modulation at the…

Quantum Gases · Physics 2016-09-14 Astrid E. Niederle , Giovanna Morigi , Heiko Rieger

We study the dynamic response of ultracold bosons trapped in one-dimensional optical lattices using Quantum Monte Carlo simulations of the boson Hubbard model with a confining potential. The dynamic structure factor reveals the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. G. Batrouni , F. F. Assaad , R. T. Scalettar , P. J. H. Denteneer

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both fascinating physics and exciting opportunities for devices. And although new materials…

Quantum Gases · Physics 2016-07-15 N. Goldman , J. C. Budich , P. Zoller

Ultra-cold bosons in zig-zag optical lattices present a rich physics due to the interplay between frustration, induced by lattice geometry, two-body interaction and three-body constraint. Unconstrained bosons may develop chiral…

Quantum Gases · Physics 2016-09-09 S. Greschner , L. Santos , T. Vekua

In this work we analyze a particular setup with ultracold atoms trapped in state-dependent lattices. We show that any asymmetry in the contact interaction translates into one of two classes of correlated hopping. After deriving the…

Other Condensed Matter · Physics 2009-12-21 Maria Eckholt , Juan Jose Garcia-Ripoll

Supersolids--the enigmatic phase of quantum matter, with properties resembling both the superfluid and solid states--have been actively sought over the past 70 years. We provide a comprehensive review of the developments to date in…

Quantum Gases · Physics 2025-08-18 Sudip Sinha , S. Sinha

Quantum phases of ultracold bosons with repulsive interactions in lattices in the presence of quenched disorder are investigated. The disorder is assumed to be caused by the interaction of the bosons with impurity atoms having a large…

Disordered Systems and Neural Networks · Physics 2008-06-27 K. V. Krutitsky , M. Thorwart , R. Egger , R. Graham

We investigate the properties of strongly interacting bosons in two dimensions at zero temperature using mean-field theory, a variational Ansatz for the ground state wave function, and Monte Carlo methods. With on-site and short-range…

We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a 1D optical lattice. After discussing the commensurate-incommensurate transition, we focus on the phases appearing at incommensurate…

Quantum Gases · Physics 2015-05-27 Achilleas Lazarides , Olivier Tieleman , Cristiane Morais Smith

We theoretically analyze the response properties of ultracold bosons in optical lattices to the static variation of the trapping potential. We show that, upon an increase of such potential (trap squeezing), the density variations in a…

Strongly Correlated Electrons · Physics 2010-03-23 Tommaso Roscilde

We experimentally and numerically investigate the expansion of initially localized ultracold bosons in homogeneous one- and two-dimensional optical lattices. We find that both dimensionality and interaction strength crucially influence…

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We present a theoretical study of bose condensation and specific heat of non-interacting bosons in finite lattices in harmonic potentials in one, two, and three dimensions. We numerically diagonalize the Hamiltonian to obtain the energy…

Statistical Mechanics · Physics 2009-11-11 R. Ramakumar , A. N. Das , S. Sil

We study bosonic atoms in small optical lattices by exact diagonalization and observe a striking similarity to the superfluid to Mott insulator transition in macroscopic systems. The momentum distribution, the formation of an energy gap,…

Other Condensed Matter · Physics 2008-04-14 Dirk-Sören Lühmann , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We discuss interacting and non-interacting one dimensional atomic systems trapped in an optical lattice plus a parabolic potential. We show that, in the tight-binding approximation, the non-interacting problem is exactly solvable in terms…

Other Condensed Matter · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , Charles W. Clark , Carl J. Williams

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

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-cold temperatures have demonstrated tremendous potential to unveil novel quantum mechanical effects appearing in lattice boson models with…

Quantum Gases · Physics 2025-07-31 Titas Chanda , Luca Barbiero , Maciej Lewenstein , Manfred J. Mark , Jakub Zakrzewski

We identify regular structures in the globally chaotic spectra of an interacting bosonic quantum gas in tilted periodic potentials. The associated eigenstates exhibit strong localization properties on the lattice, and are dynamically robust…

We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining potential. Since harmonic traps generate a…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , George G. Batrouni , Valery G. Rousseau , Richard T. Scalettar

The use of a dynamic "accordion" lattice with ultracold atoms is demonstrated. Ultracold atoms of $^{87}$Rb are trapped in a two-dimensional optical lattice, and the spacing of the lattice is then increased in both directions from 2.2 to…

Quantum Gases · Physics 2010-08-13 S. Al-Assam , R. A. Williams , C. J. Foot