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We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar…

Statistical Mechanics · Physics 2009-11-13 Shai Ronen , John Bohn

As an atomic Bose Einstein condensate (BEC) is coupled to a source of uncondensed atoms at the same temperature and to a sink (extraction towards an atom laser) the idealized description in terms of a Gross-Pitaevsky equation (GP) no longer…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. T. Arecchi , J. Bragard , L. M. Castellano

We examine the viability of cosmological solution(s) describing a unified picture of the dark side of the universe from a Bose-Einstein condensate (BEC) of light bosons. The energy density of the BEC, together with its quantum potential,…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Saurya Das , Sourav Sur

Dark matter consisting of a Bose--Einstein condensate (BEC) of ultra-light particles is predicted to have a soliton shape that shifts with the dark matter mass fraction in galaxies containing a centrally localized point mass (or black…

Astrophysics of Galaxies · Physics 2026-01-21 Dor Ben-Amotz

We study the formation of a room temperature magnon Bose-Einstein condensate (BEC) in nanoscopic systems and demonstrate that its lifetime is influenced by the spatial confinement. We predict how dipolar interactions and nonlinear magnon…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Morteza Mohseni , Alireza Qaiumzadeh , Alexander A. Serga , Arne Brataas , Burkard Hillebrands , Philipp Pirro

We have observed Bose-Einstein condensation (BEC) of trapped atomic hydrogen, and studied it by two-photon spectroscopy of the 1S-2S transition. In these lecture notes we briefly review the history of spin-polarized atomic hydrogen and…

We study the properties of Bose-Einstein Condensate (BEC) systems consisting of two scalars, focusing on both the case where the BEC is stellar scale as well as the case when it is galactic scale. After studying the stability of such…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Huai-Ke Guo , Kuver Sinha , Chen Sun , Joshua Swaim , Daniel Vagie

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

We study zero and finite temperature static Bose-Einstein condensate (BEC) stars in the combined Rastall-Rainbow (RR) theory of gravity by considering different BEC equation of states (EoSs). We obtain the global properties of BEC stars by…

High Energy Astrophysical Phenomena · Physics 2023-11-27 O. P. Jyothilakshmi , Lakshmi J. Naik , V. Sreekanth

Ultralight scalar dark matter has been proposed to constitute a component of dark matter, though the minimal scenarios have increasingly become constrained. In this work, we analyze scenarios where the dark matter consists of more than one…

High Energy Physics - Phenomenology · Physics 2020-10-09 Joshua Eby , Madelyn Leembruggen , Lauren Street , Peter Suranyi , L. C. R. Wijewardhana

We investigate a simple model for a galactic halo under the assumption that it is dominated by a dark matter component in the form of a Bose-Einstein condensate involving an ultra-light scalar particle. In particular we discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-16 Mark N Brook , Peter Coles

Applying the seminal work of Bose in 1924 on what was later known as Bose-Einstein statistics, Einstein predicted in 1925 that at sufficiently low temperatures, a macroscopic fraction of constituents of a gas of bosons will drop down to the…

General Relativity and Quantum Cosmology · Physics 2018-11-01 Saurya Das , R. K. Bhaduri

Axions differ from ordinary cold dark matter, such as WIMPs or sterile neutrinos, because they form a Bose-Einstein condensate (BEC). As a result, axions accreting onto a galactic halo fall in with net overall rotation. In contrast,…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Pierre Sikivie

A Bose-Einstein Condensate (BEC) made of alkali-metal atoms at ultra-low temperatures is well described by the three-dimensional cubic nonlinear Schr\"odinger equation, the so-called Gross-Pitaevskii equation (GPE). Here we consider an…

Pattern Formation and Solitons · Physics 2007-05-23 Luca Salasnich

We calculate density profiles for self-gravitating clusters of an ideal Bose-Einstein gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium. Our study includes clusters with planar symmetry in…

Statistical Mechanics · Physics 2022-04-19 Michael Kirejczyk , Gerhard Müller , Pierre-Henri Chavanis

In trapped Bose-Einstein condensates (BECs), \emph{condensate growth} refers to the process in which an increasing number of quasi-particles are immediately transferred from the non-condensate state (the thermal cloud) into the condensate…

Mathematical Physics · Physics 2025-12-23 Gigliola Staffilani , Minh-Binh Tran

We report on the computation of the shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the diluteness parameter a n^(1/3), where `a' is the scattering length and `n' is the…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

The Universe contains approximately 6 times more dark matter than normal baryonic matter, and a directly observed fundamental difference between dark matter and baryons would both be significant for our understanding of dark matter…

Astrophysics · Physics 2009-11-13 Steen H. Hansen , Rocco Piffaretti

Ultra-light bosonic dark matter (ULDM) is an interesting and promising dark matter candidate. While the wave-like nature of ULDM has been widely studied in the literature, we explore another distinctive feature of ULDM as Bose-Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-04 Rongzi Zhou , Dylan M. H. Leung , Jason S. C. Poon , Ming-Chung Chu