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We study the equilibrium measure on the two dimensional sphere in the presence of an external field generated by two equal point charges. The support of the equilibrium measure is known as the droplet. Brauchart et al. showed that the…

Complex Variables · Mathematics 2019-07-11 Juan G. Criado del Rey , Arno B. J. Kuijlaars

We numerically study the many-body physics of molecular Bose-Einstein condensates with strong dipole-dipole interactions. We observe the formation of self-bound droplets, and explore phase diagrams that feature a variety of exotic…

Quantum Gases · Physics 2022-06-07 Matthias Schmidt , Lucas Lassablière , Goulven Quéméner , Tim Langen

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

We investigate (in)stabilities of periodic patterns under stochastic forcing in reaction-diffusion equations exhibiting a so-called Busse balloon. Specifically, we used a one-dimensional Klausmeier model for dryland vegetation patterns.…

Analysis of PDEs · Mathematics 2024-12-23 Christian Hamster , Peter van Heijster , Eric Siero

Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective…

Soft Condensed Matter · Physics 2024-10-16 S. Dang , C. Blanch-Mercader , L. Berlyand

Using absorbance measurements through a Couette cell containing an emulsion of buoyant droplets, volume fraction profiles are measured at various shear rates. These viscous resuspension experiments allow a direct determination of the normal…

Soft Condensed Matter · Physics 2022-02-01 Mehdi Maleki , Clément de Loubens , Hugues Bodiguel

We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory (beyond the mean field), we calculate the…

Disordered Systems and Neural Networks · Physics 2015-08-26 Abdelaali Boudjemaa

A fluid in a pore can form diverse heterogeneous structures. We combine a capillary description with the cubic-plus-association equation of state to study the thermodynamic stability of droplets, bubbles and films of water at 358 K in a…

Computational Physics · Physics 2019-09-04 Magnus Aa. Gjennestad , Øivind Wilhelmsen

We study a liquid quantum droplets in a mixture of two-component Bose-Einstein condensates under a variable confinement introduced along one or two spatial dimensions. Despite the atom-atom scattering has a three-dimensional character,…

Quantum Gases · Physics 2018-12-05 Paweł Ziń , Maciej Pylak , Tomasz Wasak , Mariusz Gajda , Zbigniew Idziaszek

We study the collision of two Bose-Einstein condensates with pure dipolar interaction. A stationary pure dipolar condensate is known to be stable when the atom number is below a critical value. However, collapse can occur during the…

Statistical Mechanics · Physics 2009-10-12 B. Sun , M. S. Pindzola

We explore the ground-state properties of a single impurity immersed in a one-dimensional quantum droplet medium formed by a two-component Bose mixture. Relying on ab-initio simulations, we demonstrate that tuning the impurity-droplet…

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. The Bose-glass phase is described by a fully attractive strong-disorder fixed point…

Quantum Gases · Physics 2020-01-17 Nicolas Dupuis

Present experiments with Bose condensed gases can be largely described by a semi-ideal two-gas model. In this model, the condensate is influenced only by the mean-field repulsion among condensed atoms, while the thermal cloud is considered…

Condensed Matter · Physics 2009-10-31 M. Naraschewski , D. M. Stamper-Kurn

Two-dimensional (2D) fundamental soliton-soliton pairs are investigated in binary mixtures of Bose-Einstein condensates with attractive interactions between atoms of the same type. Both attractive and repulsive interactions between atoms of…

Pattern Formation and Solitons · Physics 2012-03-16 A. I. Yakimenko , K. O. Shchebetovska , S. I. Vilchinskii , M. Weyrauch

A survey of linearized cosmological fluid equations with a number of different matter components is made. To begin with, the one-component case is reconsidered to illustrate some important mathematical and physical points rarely discussed…

Astrophysics · Physics 2009-11-11 R. M. Gailis , N. E. Frankel

Gases of doubly-dipolar particles, with both magnetic and electric dipole moments, offer intriguing novel possibilities. We show that the interplay between doubly-dipolar interactions, quantum stabilization, and external confinement results…

Quantum Gases · Physics 2023-01-04 Ratheejit Ghosh , Chinmayee Mishra , Luis Santos , Rejish Nath

In contrast to one-component Bose-Einstein condensate case, the vortices in two-component condensate can have various complicated structures. The vortices in a space-homogeneous Bose-Einstein condensate have been studied in this paper. It…

Quantum Gases · Physics 2015-03-03 Anatoly P. Ivashin , Yuri M. Poluektov

In the present work we revisit the problem of the quantum droplet in atomic Bose-Einstein condensates with an eye towards describing its ground state in the large density, so-called Thomas-Fermi limit. We consider the problem as being…

Quantum Gases · Physics 2024-01-17 J. Holmer , K. Z. Zhang , P. G. Kevrekidis

We extend our recent work on the two-fluid hydrodynamics of a Bose-condensed gas by including collisions involving both condensate and non-condensate atoms. These collisions are essential for establishing a state of local thermodynamic…

Condensed Matter · Physics 2009-10-31 T. Nikuni , E. Zaremba , A. Griffin

Symbiotic solitons (SS) and quantum droplets (QD) are self-trapped localized modes emerging in binary Bose-gas mixtures with intra-component repulsion and inter-component attraction. We have shown that two-dimensional SS can be stabilized…

Quantum Gases · Physics 2023-11-01 S. M. Al-Marzoug , B. B. Baizakov , H. Bahlouli