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In this article, we study the existence and asymptotic properties of prescribed mass standing waves for the rotating dipolar Gross-Pitaevskii equation with a harmonic potential in the unstable regime. This equation arises as an effective…

偏微分方程分析 · 数学 2024-12-16 Meng-Hui Wu , Shubin Yu , Chun-Lei Tang

The bilayer systems exhibit the Bose-Einstein condensation of excitons that emerge due to Coulomb pairing of electrons belonging to one layer with the holes belonging to the other layer. Here we present the microscopic derivation of the…

介观与纳米尺度物理 · 物理学 2015-06-25 A. I. Bezuglyj , S. I. Shevchenko

We study exact solutions of the quasi-one-dimensional Gross-Pitaevskii (GP) equation with the (space, time)-modulated potential and nonlinearity and the time-dependent gain or loss term in Bose-Einstein condensates. In particular, based on…

斑图形成与孤子 · 物理学 2017-04-19 Zhenya Yan , Dongmei Jiang

We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We…

量子气体 · 物理学 2024-05-17 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

Bose-Einstein condensation is a remarkable manifestation of quantum statistics and macroscopic quantum coherence. Superconductivity and superfluidity have their origin in Bose-Einstein condensation. Ultracold quantum gases have provided…

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

高能物理 - 理论 · 物理学 2025-01-29 Yuki Yokokura

The main aim of this study is to reveal curved space and particle physics effects on the formation of Bose-Einstein condensate (BEC) scalar fields in cosmology and around a black hole. Cosmological scalar fields for dark energy and dark…

广义相对论与量子宇宙学 · 物理学 2023-08-11 Kemal Gültekin

The study of the rotation curves of spiral galaxies reveals a nearly constant cored density distribution of Cold Dark Matter. N-body simulations however lead to a cuspy distribution on the galactic scale, with a central peak. A…

广义相对论与量子宇宙学 · 物理学 2013-12-18 M. Dwornik , Z. Keresztes , L. Á. Gergely

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…

量子气体 · 物理学 2020-05-20 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev

Shell-shaped Bose-Einstein condensates (BECs) represent a paradigmatic instance of quantum fluids in hollow geometries exhibiting phenomena that bridge from ultracold atomic to astrophysical realms. In this work, we present a comprehensive…

The motion of single quantum particle through Bose-Einstein condensate (BEC) is considered within perturbation theory with respect to the particle-BEC interaction. The Hamiltonian of BEC is diagonalized by means of Bogoliubov's method. The…

量子物理 · 物理学 2008-09-10 Alexey Novikov , Mikhail Ovchinnikov

Axions differ from the other cold dark matter candidates in that they form a degenerate Bose gas. It is shown that their huge quantum degeneracy and large correlation length cause cold dark matter axions to thermalize through gravitational…

宇宙学与河外天体物理 · 物理学 2013-05-30 O. Erken , P. Sikivie , H. Tam , Q. Yang

We investigate the dynamics of an ion moving through a homogeneous Bose-Einstein condensate (BEC) after an initial momentum is imparted. For this, we derive a master equation in the weak-coupling limit and Lamb-Dicke approximation for the…

We study matter-wave dark solitons in atomic Bose-Einstein condensates at finite temperatures, under the effect of linear and periodic potentials. Our model, namely a dissipative Gross-Pitaevskii equation, is treated analytically by means…

斑图形成与孤子 · 物理学 2015-06-05 Y. Shen , P. G. Kevrekidis , N. Whitaker , N. I. Karachalios , D. J. Frantzeskakis

We derive and study the hyperbolic reduced Maxwell-Bloch equations (HRMB), a simplified model for the dynamics of strongly correlated Bose-Einstein condensates (BECs), and in particular for the interaction between the BEC atoms and its…

数学物理 · 物理学 2017-07-19 Alexis Arnaudon , John D. Gibbon

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using…

量子气体 · 物理学 2015-05-12 Bikash Padhi , Romain Duboscq , Ankita Niranjan , Ravi K. Soni

We show that the galactic dark matter halo, considered composed of an axionlike particles Bose-Einstein condensate \cite{pir12} trapped by a self-graviting potential \cite{boh07}, may be stable in the Thomas-Fermi approximation since…

广义相对论与量子宇宙学 · 物理学 2014-03-10 J. C. C. de Souza , M. O. C. Pires

There exists a class of ultralight Dark Matter (DM) models which could form a Bose-Einstein condensate (BEC) in the early universe and behave as a single coherent wave instead of individual particles in galaxies. We show that a generic BEC…

高能物理 - 唯象学 · 物理学 2017-09-04 P. S. Bhupal Dev , Manfred Lindner , Sebastian Ohmer

We study the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC) at zero or very low temperature. In preparation for the numerics we scale the 3d Gross-Pitaevskii equation and…

凝聚态物理 · 物理学 2009-11-10 Weizhu Bao , Dieter Jaksch , Peter A. Markowich

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

广义相对论与量子宇宙学 · 物理学 2015-09-29 Tiberiu Harko , Matthew J. Lake