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We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D…

Other Condensed Matter · Physics 2009-11-11 G. Orso , C. Menotti , S. Stringari

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 long-range phase coherence of homogeneous and trapped Bose gases as a function of the geometry of the trap, the temperature, and the mean-field interactions in the weakly interacting limit. We explicitly take into account…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , N. P. Proukakis , J. O. Andersen , M. W. J. Romans , H. T. C. Stoof

We propose a new method to describe the interacting bose gas at zero temperature. We use the decomposition of the logarithm of the wave function into the irreducible $n$-point functions. We argue that in the low density limit this expansion…

Condensed Matter · Physics 2015-06-25 A. A. OVCHINNIKOV

The Bogoliubov procedure in quantum field theory is used to describe a relativistic almost ideal Bose gas at zero temperature. Special attention is given to the study of a vortex. The radius of the vortex in the field description is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Boisseau

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We present an extension of the well-known Bogoliubov theory to treat low dimensional degenerate Bose gases in the limit of weak interactions and low density fluctuations. We use a density-phase representation and show that a precise…

Statistical Mechanics · Physics 2007-05-23 Christophe Mora , Yvan Castin

We analyze the information content of density profiles for an ultracold Bose gas of atoms and extract resolution limits for observables contained in these images. Our starting point is density correlations that we compute within the…

Quantum Physics · Physics 2008-08-27 Antonio Negretti , Carsten Henkel , Klaus Molmer

We present a comprehensive discussion of the ground-state properties of dilute $D$-dimensional Bose gas interacting with a few static impurities. Assuming the short-ranged character of the boson-impurity interaction, we calculate the energy…

Quantum Gases · Physics 2021-10-01 G. Panochko , V. Pastukhov

We review phase space techniques based on the Wigner representation that provide an approximate description of dilute ultra-cold Bose gases. In this approach the quantum field evolution can be represented using equations of motion of a…

Statistical Mechanics · Physics 2008-12-04 P. B. Blakie , A. S. Bradley , M. J. Davis , R. J. Ballagh , C. W. Gardiner

We investigate the momentum distribution of weakly interacting 1D Bose gases at thermal equilibrium both experimentally and theoretically. Momentum distribution of single 1D Bose gases is measured using a focusing technique, whose…

Quantum Gases · Physics 2012-11-09 Thibaut Jacqmin , Bess Fang , Tarik Berrada , Tommaso Roscilde , Isabelle Bouchoule

A classical fields approximation to the finite temperature microcanonical thermodynamics of weakly interacting Bose gas is applied to the idealized case of atoms confined in a box with periodic boundary conditions. We analyze in some detail…

Condensed Matter · Physics 2009-11-10 Miroslaw Brewczyk , Peter Borowski , Mariusz Gajda , Kazimierz Rzazewski

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional strongly-interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact…

Quantum Gases · Physics 2015-06-18 Guillaume Lang , Frank Hekking , Anna Minguzzi

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 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

Macroscopic coherence is an important feature of quantum many-body systems exhibiting collective behaviors, with examples ranging from atomic Bose-Einstein condensates, and quantum liquids to superconductors. Probing many-body coherence in…

Some thermodynamic properties of weakly interacting Bose systems are derived from dimensional and heuristic arguments and thermodynamic relations, without resorting to statistical mechanics.

Statistical Mechanics · Physics 2009-11-11 Thomas Nattermann

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

Quantum Gases · Physics 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

Due to their photonic components, exciton-polariton systems provide a convenient platform to study the coherence properties of weakly-interacting Bose gases. In particular, optical interferometry enables the measurement of the first-order…

Quantum Gases · Physics 2025-09-05 Joseph Jachinowski , Hassan Alnatah , David W. Snoke , Peter B. Littlewood

By using simple and efficient method we discuss properties of a single impurity immersed in three-dimensional Bose gas with the interaction between particles tuned to unitary limit. Particularly, adopting the mean-field-like approximation…

Quantum Gases · Physics 2020-10-28 O. Hryhorchak , G. Panochko , V. Pastukhov