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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 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

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 investigate the disorder effect on coherent fraction and the quantum phase transition of ultracold dilute Bose gases trapped in disordered optical lattices. Within the framework of Bogoliubov theory, an analytical expression for the…

Quantum Gases · Physics 2016-12-28 Botao Wang , Ying Jiang

We first consider an exactly solvable classical field model to understand the coherence properties and the density fluctuations of a one-dimensional (1D) weakly interacting degenerate Bose gas with repulsive interactions at temperatures…

Other Condensed Matter · Physics 2016-04-19 Yvan Castin

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical…

Other Condensed Matter · Physics 2015-05-13 S. Pilati , S. Giorgini , N. Prokof'ev

In this work, we analyze the corrections obtained on a homogeneous one-dimensional Bose gas within the high densities limit by means of the polymer quantization scheme. Thus, starting from the Bogoliubov formalism, we analyze the ground…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Jasel Berra-Montiel , Elías Castellanos , Alberto Molgado , Jonathan Trinidad-García

We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we diagonalize the Hamiltonian of a dilute Bose gas in an…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

The combined effect of disorder and interactions is central to the richness of condensed matter physics and can lead to novel quantum states such as the Bose glass phase in disordered bosonic systems. Here, we report on the experimental…

Quantum Gases · Physics 2025-05-12 Jr-Chiun Yu , Shaurya Bhave , Lee Reeve , Bo Song , Ulrich Schneider

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

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 consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We study the superfluid transitions in bidimensional (2D) and tridimensional (3D) disordered and interacting Bose gases. We work in the limit of long-range correlated disorder such that it can be treated in the local density approximation.…

Quantum Gases · Physics 2013-02-22 Thomas Bourdel

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

Low-dimensional systems are beautiful examples of many-body quantum physics. For one-dimensional systems the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly…

Other Condensed Matter · Physics 2008-02-14 S. Hofferberth , I. Lesanovsky , B. Fischer , T. Schumm , J. Schmiedmayer

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

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in…

Disordered Systems and Neural Networks · Physics 2020-09-01 Abdelaali Boudjemaa , Redaouia Keltoum

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero
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