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The dielectric formalism is used to set up an approximate description of a spatially homogeneous weakly interacting Bose gas in the collision-less regime, which is both conserving and gap-less, and has coinciding poles of the…

Statistical Mechanics · Physics 2016-08-31 Martin Fliesser , Jürgen Reidl , Péter Szépfalusy , Robert Graham

We use the finite-temperature extended Gross-Pitaevskii equation (TeGPE) to study a condensate of dipolar NaCs molecules under the conditions of the very recent, breakthrough experiment [Bigagli et.al., Nature 631, 289 (2024)]. We report…

Quantum Gases · Physics 2025-10-17 Juan Sánchez-Baena , Gerard Pascual , Raúl Bombín , Ferran Mazzanti , Jordi Boronat

Collisions and chemical reactions of molecules in Bose-Einstein condensates (BECs) are extremely sensitive to weak fields. This sensitivity arises due to the high density of compound resonances and a macroscopic number of molecules with…

Condensed Matter · Physics 2007-05-23 V. V. Flambaum , J. S. M. Ginges

In Bose supefluids, the single-particle Green's function can be directly related to the superfluid velocity-velocity correlation function in the hydrodynamic regime. An explicit expression for the single-particle spectral density was…

Quantum Gases · Physics 2015-05-30 Emiko Arahata , Tetsuro Nikuni , Allan Griffin

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We report the effects on the thermodynamic properties of a 3D Bose gas caused by a temperature dependent energy gap between the ground state and the first excited state of the energy spectrum of the particles constituting the Bose gas which…

Superconductivity · Physics 2026-01-13 Juan José Valencia Acevedo , Miguel Ángel Solís Atala

We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical space-time rescaling to the dynamics in both the…

Analysis of PDEs · Mathematics 2025-03-07 Jacky Chong , Shunlin Shen , Zhifei Zhang

Magnon Bose-Einstein Condensates (BECs) and supercurrents are coherent quantum phenomena, which appear on a macroscopic scale in parametrically populated solid state spinsystems. One of the most fascinating and attractive features of these…

We present a systematic description of the structure of Bose-Einstein condensation (BEC) in the free Bose gas from the viewpoint of the correspondence between the operator-algebraic formulation based on the resolvent algebra and the…

Mathematical Physics · Physics 2026-04-09 Yoshitsugu Sekine

In this paper, we propose a new numerical method to compute the ground state solution of trapped interacting Bose-Einstein condensation (BEC) at zero or very low temperature by directly minimizing the energy functional via finite element…

Condensed Matter · Physics 2009-11-10 Weizhu Bao , Weijun Tang

The ground states of Bose-Einstein condensates of spin-2 bosons are classified into three distinct (ferromagnetic, ^^ ^^ antiferromagnetic", and cyclic) phases depending on the s-wave scattering lengths of binary collisions for total-spin…

Statistical Mechanics · Physics 2009-11-07 Masahito Ueda , Masato Koashi

We study the rotational properties of a two-component Bose-Einstein condensed gas of distinguishable atoms which are confined in a ring potential using both the mean-field approximation, as well as the method of diagonalization of the…

We develop a systematic approach to construct energy functionals of the one-particle reduced density matrix (1RDM) for equilibrium systems at finite temperature. The starting point of our formulation is the grand potential $\Omega…

Other Condensed Matter · Physics 2018-11-20 Klaas J. H. Giesbertz , Anna-Maija Uimonen , Robert van Leeuwen

Linear response of simple (i.e., condensed) Bose-Einstein condensates is known to lead to the Bogoliubov- de Gennes equations. Here, we derive linear response for fragmented Bose-Einstein condensates, i.e., for the case where the many-body…

Quantum Gases · Physics 2013-04-02 Julian Grond , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We have applied the Popov version of the Hartree-Fock-Bogoliubov (HFB) approximation to calculate the finite-temperature excitation spectrum of a Bose-Einstein condensate (BEC) of $^{87}$Rb atoms. For lower values of the temperature, we…

Condensed Matter · Physics 2009-10-30 R. J. Dodd , M. Edwards , C. W. Clark , K. Burnett

Realistic nucleon-nucleon interaction induce correlations to the nuclear many-body system which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this…

Nuclear Theory · Physics 2007-05-23 Arnau Rios , Artur Polls , Angels Ramos , Herbert Müther

We develop the multiscale technique to describe excitations of a Bose-Einstein condensate (BEC) whose characteristic scales are comparable with the healing length, thus going beyond the conventional hydrodynamical approximation. As an…

Statistical Mechanics · Physics 2016-08-31 Vladimir V. Konotop , Victor M. Perez-Garcia

Motivated by a recent experiment [L.Chomaz et al., Nature Physics 14, 442 (2018)], we perform numerical simulations of a dipolar Bose-Einstein Condensate (BEC) in a tubular confinement at T=0 within Density Functional Theory, where the…

Quantum Gases · Physics 2019-04-10 Santo Maria Roccuzzo , Francesco Ancilotto

We derive exact renormalization-group equations for the $n$-point vertices ($n=0,1,2,\cdots$) of interacting single-component Bose-Einstein condensates based on the vertex expansion of the effective action. They have a notable feature of…

Quantum Gases · Physics 2019-04-19 Takafumi Kita

Based on a generalization of Hohenberg-Kohn's theorem, we propose a ground state theory for bosonic quantum systems. Since it involves the one-particle reduced density matrix $\gamma$ as a natural variable but still recovers quantum…