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We prove existence results for a system of partial differential equations describing the approximate condensate wavefunction and pair-excitation kernel of a dilute (T=0) Bose gas in the stationary setting, in the presence of a trapping…

Mathematical Physics · Physics 2022-09-15 Stephen Sorokanich

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

Strongly dipolar Bose gases can form liquid droplets stabilized by quantum fluctuations. In theoretical description of this phenomenon, low energy scattering amplitude is utilized as an effective potential. We show that for magnetic atoms…

Quantum Gases · Physics 2017-03-27 Rafał Ołdziejewski , Krzysztof Jachymski

The low energy properties of a trapped bose gas split by a potential barrier are determined over the whole range of barrier heights. We derive a self-consistent two-mode model which reduces, for large $N$, to a Bogoliubov model for low…

Quantum Gases · Physics 2010-10-26 Y. Japha , Y. B. Band

The effect of a weak three-dimensional (3d) isotropic laser speckle disorder on various thermodynamic properties of a dilute Bose gas is considered at zero temperature. First, we summarize the derivation of the autocorrelation function of…

Quantum Gases · Physics 2015-06-04 Bakhodir Abdullaev , Axel Pelster

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

We use the two-electron wavefunctions (geminals) and the simple screened Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)] to compute the pair-distribution function for a uniform electron gas. We find excellent…

Condensed Matter · Physics 2009-11-07 Paola Gori-Giorgi , John P. Perdew

We explore the quench dynamics of a two-dimensional, weakly interacting disordered Bose gas for various relative strengths of interactions and disorder. This allows us to identify two well distinct out-of-equilibrium regimes. When…

Quantum Gases · Physics 2021-06-22 Thibault Scoquart , Pierre-Élie Larré , Dominique Delande , Nicolas Cherroret

We study wave packet dynamics of a Bose condensate in a periodically shaken trap. Dichotomy, that is, dynamic splitting of the condensate, and dynamic stabilization are analyzed in analogy with similar phenomena in the domain of atoms in…

Quantum Physics · Physics 2009-01-23 R. Dum , A. Sanpera , K. -A. Suominen , M. Brewczyk , M. Kus , K. Rzcazewski , M. Lewenstein

We calculate the transition temperature of a uniform dilute Bose gas with repulsive interactions, using a known virial expansion of the equation of state. We find that the transition temperature is higher than that of an ideal gas, with a…

Condensed Matter · Physics 2009-10-31 K Huang

Boson droplets (i.e., dense assemblies of bosons at low temperature) are shown to mask a significant amount of single-particle behavior and to manifest collective, droplet-wide excitations. To investigate the balance between single-particle…

Mathematical Physics · Physics 2012-03-06 Stephen Pankavich , Zeina Zhreif , Yong Chen , Peter Ortoleva

Using Landau's theory of two-fluid hydrodynamics we investigate the sound modes propagating in a uniform weakly-interacting superfluid Bose gas for values of temperature, up to the critical point. In order to evaluate the relevant…

Quantum Gases · Physics 2015-09-10 Lucas Verney , Lev Pitaevskii , Sandro Stringari

A generalized kinetic model equation which takes into account the frequency depence of the thermal conductivity is used to analyze the problem of sound propagation in dilute polyatomic gases. By comparing the theoretical results with some…

Fluid Dynamics · Physics 2015-06-15 Sebastian Fischer , Wilson Marques

The spectrum of coherent modes for dilute atomic Bose gas, confined in a cylindrical trap, is calculated by applying optimized perturbation theory and the technique of self-similar root approximants. The latter technique makes it possible…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We study a superfluid Bose system with single-particle and pair condensates on the basis of a half-phenomenological theory of a Bose liquid not involving the weakness of interparticle interaction. The coupled equations describing the…

Statistical Mechanics · Physics 2013-03-25 A. S. Peletminskii , S. V. Peletminskii , Yu. M. Poluektov

We study the low-energy collective oscillations of a dilute Bose gas at finite temperature in the collisionless regime. By using a time-dependent mean-field scheme we derive for the dynamics of the condensate and noncondensate components a…

Condensed Matter · Physics 2009-10-31 S. Giorgini

We report a detailed investigation on the generation of pulse pairs during the readout of a coherence grating stored in a cold atomic ensemble. The pulse shapes and the split of the retrieved energy between the two pulses are studied as a…

Quantum Physics · Physics 2010-08-04 D. Moretti , D. Felinto , J. W. R. Tabosa

We investigate the relationship between the coherence of a partially Bose-condensed spinor gas and its temperature. We observe cooling of the normal component driven by decoherence as well the effect of temperature on decoherence rates.

Soft Condensed Matter · Physics 2009-11-10 H. J. Lewandowski , J. M. McGuirk , D. M. Harber , E. A. Cornell

We construct analytic formulas that represent the coupling-constant-averaged pair distribution function $\gxcav(r_s,\zeta, k_Fu)$ of a uniform electron gas with density parameter $r_s =(9\pi/4)^{1/3}/k_F$ and relative spin polarization…

Condensed Matter · Physics 2009-11-07 Paola Gori-Giorgi , John P. Perdew

We generalize the Beliaev-Popov diagrammatic technique for the problem of interacting dilute Bose gas with weak disorder. Averaging over disorder is implemented by the replica method. Low energy asymptotic form of the Green function…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , V. M. Vinokur
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