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We develop a finite temperature perturbation theory (beyond the mean field) for a Bose-condensed gas and calculate temperature-dependent damping rates and energy shifts for Bogolyubov excitations of any energy. The theory is generalized for…

Condensed Matter · Physics 2009-10-31 P. O. Fedichev , G. V. Shlyapnikov

We study weakly interacting Bose gases using the functional renormalization group with a hydrodynamic effective action. We use a scale-dependent parametrization of the boson fields that interpolates between a Cartesian representation at…

Quantum Gases · Physics 2018-10-10 Felipe Isaule , Michael C. Birse , Niels R. Walet

Density correlations unambiguously reveal the quantum nature of matter. Here, we study correlations between measurements of density in cold-atom clouds at different times at one position, and also at two separated positions. We take into…

Quantum Gases · Physics 2015-03-16 M. Kohnen , R. A. Nyman

We present a Monte Carlo calculation for up to $N \sim 20 000$ bosons in 3 D to determine the shift of the transition temperature due to small interactions $a$. We generate independent configurations of the ideal gas. At finite $N$, the…

Statistical Mechanics · Physics 2009-10-31 Markus Holzmann , Werner Krauth

We predict the existence of a dip below unity in the second-order coherence function of a partially condensed ideal Bose gas in harmonic confinement, signaling the anticorrelation of density fluctuations in the sample. The dip in the…

Quantum Gases · Physics 2012-08-17 T. M. Wright , A. Perrin , A. Bray , J. Schmiedmayer , K. V. Kheruntsyan

We study the effects of quantum and thermal fluctuations on Bose-Bose mixtures at finite temperature employing the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The theory governs selfconsistently the motion of the condensates, the…

Quantum Gases · Physics 2018-04-05 Abdelaali Boudjemaa

We investigate the finite temperature properties of the one-dimensional two-component Bose gas (2CBG) with repulsive contact interaction in a harmonic trap. Making use of a new lattice embedding for the 2CBG and the quantum transfer matrix…

Quantum Gases · Physics 2015-11-03 Ovidiu I. Patu , Andreas Klumper

For a dilute two-dimensional Bose gas the universal equation of state has a logarithmic dependence on the s-wave scattering length. Here we derive non-universal corrections to this equation of state taking account finite-range effects of…

Quantum Gases · Physics 2017-03-31 L. Salasnich

The phenomenon of random intensity patterns, for waves propagating in the presence of disorder, is well known in optics and in mesoscopic physics. We study this phenomenon for cold atomic gases expanding, by a diffusion process, in a weak…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. Henseler , B. Shapiro

We study phase transitions in a two dimensional weakly interacting Bose gas in a random potential at finite temperatures. We identify superfluid, normal fluid, and insulator phases and construct the phase diagram. At T=0 one has a…

Disordered Systems and Neural Networks · Physics 2018-07-26 G. Bertoli , V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

We analyze the divergent zero-point energy of a dilute and ultracold gas of atoms in D spatial dimensions. For bosonic atoms we explicitly show how to regularize this divergent contribution, which appears in the Gaussian fluctuations of the…

Quantum Gases · Physics 2016-07-19 L. Salasnich , F. Toigo

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree-Fock-Bogoliubov theory. We…

Quantum Gases · Physics 2022-02-23 Abdelaali Boudjemaa

The temperature dependence of a mobile impurity in a dilute Bose gas, the Bose polaron, is investigated for wide a range of impurity-bath interactions. Using a diagrammatic resummation scheme designed to include scattering processes…

Quantum Gases · Physics 2018-02-08 Nils-Eric Guenther , Pietro Massignan , Maciej Lewenstein , Georg M. Bruun

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 investigate theoretically the evolution of the two-point density correlation function of a low-dimensional ultracold Bose gas after release from a tight transverse confinement. In the course of expansion thermal and quantum fluctuations…

We show that roton-like excitations are thermally induced in a two-dimensional dilute Bose gas as a consequence of the strong phase fluctuations in two dimensions. At low momentum, the roton-like excitations lead for small enough…

Other Condensed Matter · Physics 2007-05-23 Flavio S. Nogueira , Hagen Kleinert

The existence of superfluidity in a 3D Bose-gas can depend on boundary interactions with channel walls. We study a simple model where the dilute moving Bose-gas interacts with the walls via hard-core repulsion. Special boundary excitations…

Statistical Mechanics · Physics 2009-10-31 D. Roubtsov , Y. Lepine

We analyze density-density correlations of expanding clouds of weakly interacting two-dimensional Bose gases below and above the Berezinskii-Kosterlitz-Thouless transition, with particular focus on short-time expansions. During…

Quantum Gases · Physics 2014-05-13 Vijay Pal Singh , Ludwig Mathey

We develop a theory of damping of low energy, collective excitations in a quasi-2D, homogenous, dipolar Bose gas at zero temperature, via processes whereby an excitation decays into two excitations with lower energy. We find that owing to…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , S. Das Sarma

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