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Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for a very large particle mass, the dynamics…

Analysis of PDEs · Mathematics 2015-05-20 Juerg Froehlich , Zhou Gang , Avy Soffer

In ultra-relativistic heavy ion collisions, the matter formed shortly after the collision is a dense, out of equilibrium, system of gluons characterized by a semi-hard momentum scale $Q_{\rm s}$. Simple power counting arguments indicate…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jean-Paul Blaizot , Francois Gelis , Jinfeng Liao , Larry McLerran , Raju Venugopalan

Spherical collapse of the Bose-Einstein Condensate (BEC) dark matter model is studied in the Thomas Fermi approximation. The evolution of the overdensity of the collapsed region and its expansion rate are calculated for two scenarios. We…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-11 Rodolfo C. de Freitas , Hermano Velten

In an exciting experiment by MIT's group (Science 275, 637 (1997)), clear interference fringes were observed for two initially independent Bose condensates in dilute gas. Presently, there are two different theories (measurement-induced…

Statistical Mechanics · Physics 2009-11-11 Shujuan Liu , Hongwei Xiong

We investigate the structure of the medium formed in heavy ion collisions using three different models: the Color String Percolation Model (CSPM), the Core-Shell-Color String Percolation Model (CSCSPM), and the Color Glass Condensate (CGC)…

High Energy Physics - Phenomenology · Physics 2023-06-28 J. R. Alvarado García , D. Rosales Herrera , A. Fernández Téllez , Bogar Díaz , J. E. Ramírez

We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-25 Nader Haddad

The studies of a number of systems treated in terms of an inhomogeneous (spatially separated) Fermi-Bose mixture with superconducting clusters or droplets of the order parameter in a host medium with unpaired normal states are reviewed. A…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 M. Yu. Kagan , S. V. Aksenov , A. V. Turlapov , R. Sh. Ikhsanov , K. I. Kugel , E. A. Mazur , E. A. Kuznetsov , V. M. Silkin , E. A. Burovski

We consider the possibility that the dark matter, which is required to explain the dynamics of the neutral hydrogen clouds at large distances from the galactic center, could be in the form of a Bose-Einstein condensate. To study the…

Astrophysics · Physics 2010-10-27 C. G. Boehmer , T. Harko

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

Recent atom interferometry (AI) experiments involving Bose--Einstein condensates (BECs) have been conducted under extreme conditions of volume and interrogation time. Numerical solution of the standard mean-field theory applied to these…

Quantum Gases · Physics 2022-03-25 S. Thomas , C. Sapp , C. Henry , A. Smith , C. A. Sackett , C. W. Clark , M. Edwards

We develop a diagrammatic perturbation treatment to calculate the zero-temperature equation of state of the dilute gas mixture of a single spin component Bose-Einstein condensate (BEC) and a normal Fermi gas of indistinguishable (single…

Statistical Mechanics · Physics 2009-11-13 D. H. Santamore , Eddy Timmermans

Our results demonstrate that vortex lines in Bose-Einstein Condensate Dark Matter (BECDM) can act as gravitational seeds that induce the condensation of baryonic matter, leading to localized gas accumulation even in the absence of imposed…

Astrophysics of Galaxies · Physics 2025-07-04 Iván Álvarez-Rios , Carlos Tena-Contreras , Francisco S. Guzmán

We develop a model of Bose-Einstein condensate dark matter halos with a solitonic core and an isothermal atmosphere based on a generalized Gross-Pitaevskii-Poisson equation [P.H. Chavanis, Eur. Phys. J. Plus 132, 248 (2017)]. This equation…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Pierre-Henri Chavanis

Interference between the halves of a double-well trap containing a Bose-Einstein condensate is studied. It is found that when the atoms in the two wells are initially in the coherent state, the intensity exhibits collapses and revivals, but…

Atomic Physics · Physics 2009-11-10 Zhao-xian Yu , Zhi-yong Jiao

The ability to create and manipulate strongly correlated quantum many-body states is of central importance to the study of collective phenomena in several condensed-matter systems. In the last decades, a great amount of work has been…

Optics · Physics 2022-04-26 Marcello Calvanese Strinati , Frank Vewinger , Claudio Conti

For the Bose-condensed gas confined in a magnetic trap and in a two-dimensional optical lattice, the non-uniform distribution of atoms in different lattice sites is considered based on Gross-Pitaevskii equation. A propagator method is used…

Soft Condensed Matter · Physics 2009-11-07 Shujuan Liu , Hongwei Xiong , Zhijun Xu , Guoxiang Huang

The dynamics of Skyrmions in a two-component Bose-Einstein condensate are numerically investigated in the mean-field theory. When two Skyrmions collide with each other, they are first united and then scattered into various states. For…

Quantum Gases · Physics 2016-05-31 Tomoya Kaneda , Hiroki Saito

We study the emergence of density waves in dipolar Bose-Einstein condensates (BEC) when the strength of dipole-dipole atomic interactions is periodically varied in time. The proposed theoretical model, based on the evolution of small…

Quantum Gases · Physics 2020-05-20 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

When two initially independent Bose-condensed gases are allowed to overlap, we investigate the density expectation value of the whole system by using the second quantization method. In the presence of interatomic interaction, based on the…

Other Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu