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We investigate the formation, stability, and dynamics of 3D ring-shaped and multipole vortical quantum droplets (QDs) in non-rotating dipolar Bose-Einstein condensates held in a toroidal trapping potential. The QD dynamics are investigated…

Quantum Gases · Physics 2026-02-11 S. Sanjay , S. Saravana Veni , Boris A. Malomed

We characterise the properties of a vortex line in an elongated dipolar Bose-Einstein condensate. Increasing the strength of the dipole-dipole interactions (DDIs) relative to the short ranged contact interactions we find that the system…

Quantum Gases · Physics 2018-12-19 Au-Chen Lee , D. Baillie , R. N. Bisset , P. B. Blakie

Motivated by the recent experimental realization of a Bose-Einstein condensate (BEC) of europium atoms, we investigate the self-bound droplet state of a europium BEC with spin degrees of freedom. Under a sufficiently weak magnetic field,…

Quantum Gases · Physics 2024-03-01 Shaoxiong Li , Hiroki Saito

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The…

Quantum Gases · Physics 2019-11-04 Ofir E. Alon

We derive rigorous one- and two-dimensional mean-field equations for cigar- and pancake-shaped dipolar Bose-Einstein condensates with arbitrary polarization angle. We show how the dipolar interaction modifies the contact interaction of the…

Quantum Gases · Physics 2010-10-28 Yongyong Cai , Matthias Rosenkranz , Zhen Lei , Weizhu Bao

Dipolar Bose-Einstein condensates have recently attracted much attention in the world of quantum many body experiments. While the theoretical principles behind these experiments are typically supported by numerical simulations, the…

Quantum Physics · Physics 2019-06-25 Jan-Frederik Mennemann , Tim Langen , Lukas Exl , Norbert J. Mauser

So far the theory of Bose-Einstein condensates (BEC) of polar molecules was based on an ad hoc generalization of equations for spherical atoms. Here I adopt a rigorous pseudo-potential approach to low-energy dipolar interactions and derive…

Other Condensed Matter · Physics 2008-07-22 Andrei Derevianko

We perform a theoretical study into how dipole-dipole interactions modify the properties of superfluid vortices within the context of a two-dimensional atomic Bose gas of co-oriented dipoles. The reduced density at a vortex acts like a…

Quantum Gases · Physics 2014-11-19 B. C. Mulkerin , R. M. W. van Bijnen , D. H. J. O'Dell , A. M. Martin , N. G. Parker

We report the first measurements of the BEC critical temperature shift due to dipolar interactions, employing samples of ultracold erbium atoms which feature significant (magnetic) dipole-dipole interactions in addition to tuneable contact…

It is shown that the interface in a two-component Bose-Einstein condensate (BEC) in which one component exhibits a dipole-dipole interaction spontaneously forms patterns similar to those formed in a magnetic liquid subject to a magnetic…

Other Condensed Matter · Physics 2015-05-13 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

We develop a strong-coupling theory of Bose-Einstein condensate-mediated superconductivity in a hybrid system, which consists of a two-dimensional electron gas with either (i) parabolic spectrum or (ii) relativistic Dirac spectrum in the…

Superconductivity · Physics 2021-08-25 Meng Sun , A. V. Parafilo , V. M. Kovalev , I. G. Savenko

We have measured the relative strength $\epsilon_dd$ of the magnetic dipole-dipole interaction compared to the contact interaction in a chromium Bose-Einstein condensate. We analyze the asymptotic velocities of expansion of a dipolar…

Other Condensed Matter · Physics 2007-05-23 Axel Griesmaier , Jürgen Stuhler , Tobias Koch , Marco Fattori , Tilman Pfau , Stefano Giovanazzi

The dimensionality of a system profoundly influences its physical behaviour, leading to the emergence of different states of matter in many-body quantum systems. In lower dimensions, fluctuations increase and lead to the suppression of…

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

Starting from the standard three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schr\"odinger equation (1D-NPSE) governing the axial dynamics of…

Quantum Gases · Physics 2020-01-08 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

In two spatial dimensions, vortex-vortex interactions approximately vary with the logarithm of the inter-vortex distance, making it possible to describe an ensemble of vortices as a Coulomb gas. We introduce a duality between vortices in a…

Quantum Gases · Physics 2025-02-28 Seong-Ho Shinn , Adolfo del Campo

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a…

Quantum Gases · Physics 2021-01-26 Argha Debnath , Ayan Khan

A new generation of cold atom experiments trapping atomic mixtures in species selective optical potentials opens up the intriguing possibility to create systems in which different atoms live in different spatial dimensions. Inspired by…

Quantum Gases · Physics 2017-09-21 Niels Jakob Søe Loft , Zhigang Wu , Georg M. Bruun