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Related papers: Dilute Hard "Sphere" Bose Gas in Dimensions 2, 4 a…

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We systematically investigate the properties of three-dimensional dipolar binary Bose mixture at low temperatures. A set of coupled self-consistent equations of motion are derived for the two condensates. In the homogeneous case, useful…

Quantum Gases · Physics 2018-10-01 Abdelaali Boudjemaa

Within the self-consistent Hartree-Fock approximation, an explicit expression for the ground state energy of inhomogeneous Bose gas is derived as a functional of the inhomogeneous density of the Bose-Einstein condensate. The results…

Quantum Gases · Physics 2016-11-23 V. B. Bobrov , S. A. Trigger

We consider the two dimensional disordered Bose gas which present a metallic state at low temperatures. A simple model of an interacting Bose system in a random field is propose to consider the interaction effect on the transition in the…

Strongly Correlated Electrons · Physics 2008-11-18 M. Crisan , I. Grosu , I. Tifrea

A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with…

Quantum Gases · Physics 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

Nonequilibrium equations of state can provide an effective thermodynamic-like description of far-from-equilibrium systems. We experimentally construct such an equation for a direct energy cascade in a turbulent two-dimensional Bose gas. Our…

We derive the equation of state of a dilute atomic Bose gas with an interatomic interaction that has a negative scattering length and argue that two continuous phase transitions, occuring in the gas due to quantum degeneracy effects, are…

Condensed Matter · Physics 2009-10-22 H. T. C. Stoof

We study the d - dimensional Bose gas at finite temperature using the renormalization group method. The flow - equations and the free energy have been obtained for dimension d, and the cases d<2 and d=2 have been analysed in the limit of…

Condensed Matter · Physics 2009-11-07 M. Crisan , D. Bodea , I. Grosu , I. Tifrea

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej

We prove the equivalence between the hard-sphere Bose gas and a system with momentum-dependent zero-range interactions in one spatial dimension, which we call extended hard-sphere Bose gas. The two-body interaction in the latter model has…

Quantum Gases · Physics 2012-04-16 Manuel Valiente

The ground-state phase properties of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo techniques. Limitations of mean-field theory in a two-dimensional geometry are discussed. A…

Other Condensed Matter · Physics 2017-08-23 G. E. Astrakharchik , J. Boronat , J. Casulleras , I. L. Kurbakov , Yu. E. Lozovik

The internal degrees of freedom provided by ultracold atoms give a route for realizing higher dimensional physics in systems with limited spatial dimensions. Non-spatial degrees of freedom in these systems are dubbed "synthetic dimensions".…

Quantum Gases · Physics 2016-12-16 Hilary M. Hurst , Justin H. Wilson , J. H. Pixley , I. B. Spielman , Stefan S. Natu

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

Condensed Matter · Physics 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

We use a two-channel model to investigate an interacting Bose gas across a narrow Feshbach resonance within a field path integral approach. The ground state properties show strong deviation from that of a broad Feshbach resonance or a…

Quantum Gases · Physics 2023-01-19 Fan Yang , Ran Qi

We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the box is larger than the Gross-Pitaevski length scale. The…

Mathematical Physics · Physics 2023-08-22 Søren Fournais , Theotime Girardot , Lukas Junge , Leo Morin , Marco Olivieri

The zero-temperature equation of state is analyzed in low-dimensional bosonic systems. In the dilute regime the equation of state is universal in terms of the gas parameter, i.e. it is the same for different potentials with the same value…

Quantum Gases · Physics 2015-05-13 G. E. Astrakharchik , J. Boronat , I. L. Kurbakov , Yu. E. Lozovik , F. Mazzanti

In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid…

Statistical Mechanics · Physics 2009-11-07 O. K. Vorov , M. S. Hussein , P. Van Isacker

Disorder effects in the thermodynamic properties of a ideal Bose gas confined in a semi-infinite multi-layer structure %described by $M$ permeable barriers within a box of thickness $L$ and infinite lateral extent, are analyzed. The layers…

Quantum Gases · Physics 2016-07-20 V. E. Barragán , M. Fortes , M. A. Solís , P. Salas

We report the observation of strongly damped dipole oscillations of a quantum degenerate 1D atomic Bose gas in a combined harmonic and optical lattice potential. Damping is significant for very shallow axial lattices (0.25 photon recoil…

Other Condensed Matter · Physics 2009-11-10 C. D. Fertig , K. M. O'Hara , J. H. Huckans , S. L. Rolston , W. D. Phillips , J. V. Porto

In this work, we have studied the effect of the repulsive speckle potential in a mixture of Bose-Einstein condensates in one dimension (1D) and two dimension (2D). We simulated linear and circular random speckle potentials in 1D and 2D,…

Quantum Gases · Physics 2025-08-20 Avra Banerjee , Saswata Sahu , Dwipesh Majumder