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We consider the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate without external confinement. We first consider the unstable regime, where the nonlocal nonlinearity is neither positive nor radially symmetric and…

Analysis of PDEs · Mathematics 2019-05-07 Jacopo Bellazzini , Luigi Forcella

We explore the ground state phase diagram and nonequilibrium dynamics of genuine two-component particle-imbalanced droplets in both isotropic and anisotropic three-dimensional confinements. A gradual transition from mixed droplet-gas to gas…

We study the problem of the stability of a two-component droplet. The standard solution known from the literature is based on a particular form of the mean field energy functional, in particular on distinction of hard mode and soft mode…

Quantum Gases · Physics 2021-01-18 Paweł Zin , Maciej Pylak , Mariusz Gajda

We theoretically investigate ground-state properties and collective excitations of one-dimensional quantum droplets in asymmetric Bose-Bose mixtures with unequal intraspin interactions. Using the extended Gross-Pitaevskii equation supported…

Quantum Gases · Physics 2026-01-26 Huiyun Xiao , Xinran Zhang , Junli Liu , Xucong Du , Xiao-Long Chen , Yunbo Zhang

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

In a joint experimental and theoretical effort, we report on the formation of a macro-droplet state in an ultracold bosonic gas of erbium atoms with strong dipolar interactions. By precise tuning of the s-wave scattering length below the…

Quantum Gases · Physics 2016-11-30 L. Chomaz , S. Baier , D. Petter , M. J. Mark , F. Wächtler , L. Santos , F. Ferlaino

We theoretically investigate the finite-temperature structure and collective excitations of a self-bound ultradilute Bose droplet in a flat space realized in a binary Bose mixture with attractive inter-species interactions on the verge of…

Quantum Gases · Physics 2021-02-16 Jia Wang , Xia-Ji Liu , Hui Hu

Ultracold atoms offer valuable opportunities where interparticle interactions can be controlled at will. In particular, by extinguishing the two-body interaction, one can realize unique systems governed by the three-body interaction, which…

Quantum Gases · Physics 2018-01-31 Yuta Sekino , Yusuke Nishida

We characterize a system of tilted dipoles in a quasi two-dimensional (flattened) geometry and in the thermodynamic limit. We consider a finite trapping in the z-axis achievable in current experiments. We compute the phase diagram of the…

Quantum Gases · Physics 2025-10-17 Juan Sánchez-Baena

We calculate the equation of state of Bose-Bose gases in one and three dimensions in the framework of an effective quantum field theory. The beyond-mean-field approximation at zero-temperature and the one-loop finite-temperature results are…

Quantum Gases · Physics 2018-06-12 Emerson Chiquillo

We investigate the rotational response of a confined, two-dimensional quantum droplet, which emerges in an attractive binary Bose mixture that is stabilized against collapse by beyond-mean-field effects. We consider both a harmonic and an…

Quantum Gases · Physics 2026-03-24 S. Nikolaou , G. M. Kavoulakis , M. Ogren

We study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond…

Quantum Gases · Physics 2021-11-09 Abdelaali Boudjemaa

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

A dilute two-dimensional (2D) Bose gas at zero temperature is studied by the method developed earlier by the authors. Low density expansions are derived for the chemical potential, ground state energy, kinetic and interaction energies. The…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

Ultracold gases of dipolar molecules have long been envisioned as a platform for the realization of novel quantum phases. Recent advances in collisional shielding, protecting molecules from inelastic losses, have enabled the creation of…

Self-bound quantum droplets form when the mean-field tendency of the gas to collapse is stabilized by the effectively repulsive beyond mean-field fluctuations. The beyond mean-field effects depend on Rabi-frequency $\omega_R$ and quadratic…

Quantum Gases · Physics 2023-03-03 T. A. Yoğurt , A. Keleş , M. Ö. Oktel

We investigate the novel density distributions acquired by a dipolar Bose-Einstein condensed gas confined in a box potential, with special focus on the effects of supersolidity. Differently from the case of harmonic trapping, the ground…

Quantum Gases · Physics 2022-02-25 S. M. Roccuzzo , S. Stringari , Alessio Recati

We investigate a system of bosons in a two-dimensional harmonic trap. In the limit of strong attractive interactions, the bosons make a droplet insensitive to external confinement. For weak interactions, in contrast, the ground state is…

Quantum Gases · Physics 2025-07-01 Fabian Brauneis , Artem G. Volosniev , Hans-Werner Hammer

We study by quantum Monte Carlo simulations the ground state of a harmonically confined dipolar Bose gas with aligned dipole moments, and with the inclusion of a repulsive two-body potential of varying range. Two different limits can be…

Statistical Mechanics · Physics 2017-07-27 Fabio Cinti , Massimo Boninsegni

We predict the effect of the roton instability for a two-dimensional weakly interacting gas of tilted dipoles in a single homogeneous quantum layer. Being typical for strongly correlated systems, the roton phenomena appear to occur in a…

Quantum Gases · Physics 2014-10-27 A. K. Fedorov , I. L. Kurbakov , Y. E. Shchadilova , Yu. E. Lozovik
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