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We study superfluid and Mott insulator phases of cold spin-1 Bose atoms with antiferromagnetic interactions in an optical lattice, including a usual polar condensate phase, a condensate of singlet pairs, a crystal spin nematic phase, and a…

Statistical Mechanics · Physics 2009-11-07 Eugene Demler , Fei Zhou

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 study the properties of the Bose glass phase of localized flux lines in irradiated superconductors near the matching field $B_{\Phi}$. Repulsive vortex interactions destroy the Mott insulator phase predicted to occur at $B=B_\Phi$. For…

Superconductivity · Physics 2016-08-15 Carsten Wengel , Uwe Claus Täuber

We consider an ultracold quantum degenerate gas in an optical lattice inside a cavity. This system represents a simple but key model for "quantum optics with quantum gases," where a quantum description of both light and atomic motion is…

Quantum Physics · Physics 2010-02-26 Igor B. Mekhov , Helmut Ritsch

The experimental realization of 2D Bose gases with a tunable interaction strength is an important challenge for the study of ultracold quantum matter. Here we report on the realization of an optical accordion creating a lattice potential…

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the…

Condensed Matter · Physics 2007-05-23 O. Morsch , E. Arimondo

We investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability…

Quantum Gases · Physics 2011-04-19 Luca Fontanesi , Michiel Wouters , Vincenzo Savona

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero temperature phase diagram are observed when compared to the case of randomness in the…

Other Condensed Matter · Physics 2009-11-11 H. Gimperlein , S. Wessel , J. Schmiedmayer , L. Santos

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We investigate the form and stability of a cloud of atoms confined in a harmonic trap when the scattering length is negative. We find that, besides the known low density metastable solution, a new branch of Bose condensate appears at higher…

Condensed Matter · Physics 2009-10-31 Alberto Parola , Luca Salasnich , Luciano Reatto

We compute the absorption spectrum of strongly repulsive one-dimensional bosons in a disordered or quasi-periodic optical lattice. At commensurate filling, the particle-hole resonances of the Mott insulator are broadened as the disorder…

Quantum Gases · Physics 2009-10-28 G. Orso , A. Iucci , M. A. Cazalilla , T. Giamarchi

We suggest a practical way to estimate the condensate fraction of an interacting dilute Bose gas confined by an external harmonic potential as a function of temperature and scattering length. It shows that an increase of the scattering…

Statistical Mechanics · Physics 2011-11-09 Sang-Hoon Kim

In nearly all experiments with ultracold atoms time-of-flight pictures are the only data available. In this paper we present an analytical strong-coupling calculation for those time-of-flight pictures of bosons in an optical lattice in the…

Statistical Mechanics · Physics 2015-05-13 Alexander Hoffmann , Axel Pelster

Spectral excitations of ultracold gases of bosonic atoms trapped in one dimensional optical lattices with disorder are investigated by means of the variational cluster approach applied to the Bose-Hubbard model. In particular, qualitatively…

Quantum Gases · Physics 2010-11-25 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a…

Statistical Mechanics · Physics 2009-11-10 K. Ziegler

We suggested a method to estimate the quantum depletion of interacting Bose particles confined by a three dimensional harmonic trap.

Statistical Mechanics · Physics 2007-05-23 Sang-Hoon Kim

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

Other Condensed Matter · Physics 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey

We study cold atomic gases in a disorder potential and analyze the correlations between different systems subjected to the same disorder landscape. Such independent copies with the same disorder landscape are known as replicas. While in…

Other Condensed Matter · Physics 2008-09-23 S. Morrison , A. Kantian , A. J. Daley , H. G. Katzgraber , M. Lewenstein , H. P. Büchler , P. Zoller

Disordered potentials fundamentally affect transport and coherence in quantum systems, giving rise to a Bose-glass phase in interacting bosonic systems -- an insulating yet compressible phase lacking long-range coherence. Directly measuring…

Exact diagonalization techniques are a powerful method for studying many-body problems. Here, we apply this method to systems of few bosons in an optical lattice, and use it to demonstrate the emergence of interesting quantum phenomena like…

Quantum Gases · Physics 2017-05-22 David Raventós , Tobias Graß , Maciej Lewenstein , Bruno Juliá-Díaz