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The onset of pattern formation in a spatially homogeneous system subjected to external driving is an important topic in various scientific fields. A celebrated classical example is the Faraday instability, where a vertically oscillated…

The theoretical description of non-equilibrium Bose--Einstein condensate (BEC) is one of the main challenges in modern statistical physics and kinetics. The non-equilibrium nature of BEC makes it impossible to employ the well-established…

Quantum Gases · Physics 2022-06-01 V. Yu. Shishkov , E. S. Andrianov , Yu. E. Lozovik

Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called $\mu$-Bose gas model ($\mu$-BGM) as a model of dark matter, able to treat weak points. Within $\mu$-BGM, the…

General Relativity and Quantum Cosmology · Physics 2018-06-04 A. M. Gavrilik , I. I. Kachurik , M. V. Khelashvili , A. V. Nazarenko

We present an analytic Bogoliubov description of a BEC of polar molecules trapped in a quasi-2D geometry and interacting via internal state-dependent dipole-dipole interactions. We derive the mean-field ground-state energy functional, and…

Recent experiments have employed rapidly expanding toroidal Bose-Einstein condensates (BECs) to mimic the inflationary expansion in the early universe. One expected signature of the expansion in such experiments is spontaneous particle…

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

We study Bose-Einstein condensation and formation of Bose stars in the virialized dark matter halos/miniclusters by universal gravitational interactions. We prove that this phenomenon does occur and it is described by kinetic equation. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 D. G. Levkov , A. G. Panin , I. I. Tkachev

Bose-Einstein condensation (BEC) in a gas has now been achieved. Alkali atoms ($^{87}Rb$, $^{23}Na$ and $^{7}Li$) have been cooled to the point of condensation (temperature of 100 nK) using laser cooling and trapping, followed by magnetic…

Quantum Physics · Physics 2016-09-08 Luca Salasnich

We consider the restriction placed by the Bogoliubov inequality on the nature of the Bose-Einstein condensates (BECs) for interacting atoms in a spatial dimension D </- 2 and in the presence of an external arbitrary potential, which may be…

Quantum Gases · Physics 2019-07-29 Moorad Alexanian

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

In this paper we investigate the stability of a recently introduced Bose-Einstein condensate (BEC) which involves logarithmic interaction between atoms. The Gaussian variational approach is employed to derive equations of motion for…

Quantum Gases · Physics 2015-07-14 B. Bouharia

The present work is devoted to the study of anisotropic compact matter distributions within the framework of 5-dimensional Einstein-Gauss-Bonnet gravity. To solve the field equations, we have considered that the inner geometry is described…

General Physics · Physics 2020-01-08 Piyali Bhar , Ksh. Newton Singh , Francisco Tello-Ortiz

In this paper, we study the viscous $f(T, B)$ gravity model as a source of dark energy, and the Extended Bose-Einstein Condensate (EBEC) as a source of dark matter, in a flat-FRW metric. In the presence of bulk viscosity, we obtain…

General Relativity and Quantum Cosmology · Physics 2023-01-13 E. Mahichi , Alireza Amani

We investigate the dynamics of Bose-Einstein condensates (BEC) in a tilted one-dimensional periodic lattice within the mean-field (Gross-Pitaevskii) description. Unlike in the linear case the Bloch oscillations decay because of nonlinear…

Other Condensed Matter · Physics 2009-11-10 D. Witthaut , M. Werder , S. Mossmann , H. J. Korsch

To show a mechanism leading to the breakdown of a particle picture for the multi-component Bose-Einstein condensates(BECs) with a harmonic trap in high dimensions, we investigate the corresponding 2-$d$ nonlinear Schr{\"o}dinger equation…

Other Condensed Matter · Physics 2009-11-11 Hisatsugu Yamasaki , Yuhei Natsume , Katsuhiro Nakamura

We develop a coupled-channel framework to describe the dynamics of spinor Bose-Einstein condensates (BECs), with particular emphasis on the behavior near resonances between spin dynamics and spatial excitations. Taking advantage of the…

Quantum Gases · Physics 2026-04-21 W. Wills , D. Blume , Q. Guan

We investigate the dynamics of an effectively one-dimensional Bose-Einstein condensate (BEC) with scattering length $a$ subjected to a spatially periodic modulation, $a=a(x)=a(x+L)$. This "collisionally inhomogeneous" BEC is described by a…

Pattern Formation and Solitons · Physics 2009-11-11 Mason A. Porter , P. G. Kevrekidis , Boris A. Malomed , D. J. Frantzeskakis

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 consider Bose-Einstein condensate (BEC) subject to the action of spin-orbit-coupling (SOC) periodically modulated in the radial direction. In contrast to the commonly known principle that periodic potentials do not create bound states,…

Quantum Gases · Physics 2023-09-15 Chunyan Li , Vladimir V. Konotop , Boris A. Malomed , Yaroslav V. Kartashov

We investigate the evolution of Bose-Einstein condensates falling under gravity and bouncing off a mirror formed by a far-detuned sheet of light. After reflection, the atomic density profile develops splitting and interference structures…

Condensed Matter · Physics 2009-10-31 K. Bongs , S. Burger , G. Birkl , K. Sengstock , W. Ertmer , K. Rzazewski , A. Sanpera , M. Lewenstein