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We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a…

Quantum Gases · Physics 2014-10-29 Joseph Saliba , Pierre Lugan , Vincenzo Savona

The Bogoliubov - de Gennes equations are solved for the Coulomb Bose gas describing a fluid of charged bosons at finite temperature. The approach is applicable in the weak coupling regime and the extent of its quantitative usefulness is…

Condensed Matter · Physics 2009-10-31 E. Strepparola , A. Minguzzi , M. P. Tosi

We study the quantum phase transition of the 1D weakly interacting Bose gas in the presence of disorder. We characterize the phase transition as a function of disorder and interaction strengths, by inspecting the long-range behavior of the…

Quantum Gases · Physics 2010-07-08 L. Fontanesi , M. Wouters , V. Savona

We study the one-dimensional Bose gas in spatially correlated disorder at zero temperature, using an extended density-phase Bogoliubov method. We analyze in particular the decay of the one-body density matrix and the behaviour of the…

Quantum Gases · Physics 2009-07-22 Luca Fontanesi , Michiel Wouters , Vincenzo Savona

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 develop the Hartree-Fock-Bogoliubov theory at finite temperature for Bose gas trapped in the two dimensional optical lattices. The on-site energy is considered low enough that the gas presents superfluid properties. We obtain the…

Quantum Gases · Physics 2015-05-11 M. O. C. Pires , E. J. V. de Passos

We study numerically a 2D Bose-Einstein condensate in a quasiperiodic array of potential peaks, assumed to be generated by superimposing five blue detuned laser beams. By using a Bogoliubov ansatz for the excitations we show that the system…

Disordered Systems and Neural Networks · Physics 2011-07-18 Alberto Cetoli , Emil Lundh

The phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas with disorder is investigated. Diffusion Monte Carlo (DMC) method is used to calculate superfluid and condensate fraction of the system as a function of density…

Quantum Gases · Physics 2014-12-16 G. E. Astrakharchik

We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory (beyond the mean field), we calculate the…

Disordered Systems and Neural Networks · Physics 2015-08-26 Abdelaali Boudjemaa

At zero temperature, homogeneous interacting Bose-condensed fluids are entirely superfluid, with remarkable transport properties. A non-superfluid, normal component is induced by finite temperatures and spatial inhomogeneity, the combined…

Quantum Gases · Physics 2026-02-26 Cord A. Müller

Quantum simulation of quasicrystals in synthetic bosonic matter now paves the way to the exploration of these intriguing systems in wide parameter ranges. Yet thermal fluctuations in such systems compete with quantum coherence, and…

Quantum Gases · Physics 2023-07-18 Zhaoxuan Zhu , Hepeng Yao , Laurent Sanchez-Palencia

This paper develops and implements the stochastic projected Gross-Pitaevskii equation for spin-1 Bose gases, addressing key considerations for numerical simulations. As an application of the theory we explore equilibrium phases in a…

Quantum Gases · Physics 2025-08-19 Andrew P. C. Underwood , P. B. Blakie

The full statistical distribution of the superfluid fraction characterizing one-dimensional Bose gases in random potentials is discussed. Rare configurations with extreme fluctuations of the disorder potential can fragment the condensate…

Quantum Gases · Physics 2020-02-19 M. Albert , C. A. Müller

Bogoliubov's description of Bose gases relies on the linear dynamics of noninteracting quasiparticles on top of a homogeneous condensate. Here, we theoretically explore the weakly-nonlinear regime of a one-dimensional photon superfluid in…

Quantum Gases · Physics 2024-07-17 Marzena Ciszak , Francesco Marino

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

We consider the correlations and superfluid properties of a Bose gas in an external potential. Using a Bogoliubov scheme, we obtain expressions for the correlation function and the superfluid density in an arbitrary external potential.…

Disordered Systems and Neural Networks · Physics 2011-08-16 Alberto Cetoli , Emil Lundh

Bosons in a periodic lattice with on-site disorder at low but non-zero temperature are considered within a mean-field theory. The criteria used for the definition of the superfluid, Mott insulator and Bose glass are analysed. Since the…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , A. Pelster , R. Graham

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

Quantum Gases · Physics 2012-06-08 Andrew G. Sykes , Christopher Ticknor

We investigate the thermodynamic properties of a dilute Bose gas in a correlated random potential using exact path integral Monte Carlo methods. The study is carried out in continuous space and disorder is produced in the simulations by a…

Quantum Gases · Physics 2015-02-26 S. Pilati , S. Giorgini , M. Modugno , N. Prokof'ev

We study the zero-temperature phase diagram of a gas of bosonic 87-Rb atoms in two-color superlattice potentials starting directly from the experimental parameters, such as wavelengths and intensities of the two lasers generating the…

Quantum Gases · Physics 2010-06-08 Felix Schmitt , Markus Hild , Robert Roth
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