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We review recent theoretical results for soft-core Bose systems, and describe the low-temperature supersolid "droplet crystal" phase, predicted for a broad class of soft-core interactions. We identify the conditions on the inter-particle…

Statistical Mechanics · Physics 2012-07-13 Massimo Boninsegni

We investigate the fate of a one-dimensional lattice superfluid formed by hard-core bosons, aka `atoms' (alternatively, a free spinless Fermi sea) subjected to nearest-neighbor attractive Hubbard-like interactions only in subgroups of two…

Supersolidity -- a quantum-mechanical phenomenon characterized by the presence of both superfluidity and crystalline order -- was initially envisioned in the context of bulk solid helium, as a possible answer to the question of whether a…

Quantum droplets, stabilized by beyond-mean-field effects, represent a novel state of matter in quantum many-body systems. While previous studies have focused primarily on dipolar and contact-interacting systems, quadrupolar condensates…

Quantum Gases · Physics 2025-10-16 Wei-qi Xia , Xiao-ting Zheng , Xiao-wei Chen , Gui-hua Chen

Using density functional theory, we have theoretically studied the formation and the stability of vortices in quantum liquid droplets composed of a mixture of hyperfine states of potassium. Following the experimental setup that produced…

Quantum Gases · Physics 2025-11-17 Ivan Poparić , Leandra Vranješ Markić , Jordi Boronat

Mixtures of quantum fluids, that is gases or liquids, are considered with the emphasis on the conditions characterizing the stability of the mixtures. The mixtures, that can be formed by cold atoms or molecules, are assumed to be quantum…

Statistical Mechanics · Physics 2022-09-21 V. I. Yukalov

We predict the existence of double-flattop quantum droplets in atomic Bose-Bose mixtures. Solutions of this type have two flattop regions of nearly uniform atomic density corresponding to a compressed central core surrounded by a rarefied…

Quantum Gases · Physics 2024-11-27 Yaroslav V. Kartashov , Dmitry A. Zezyulin

The recent observations of a stable molecular condensate emerging from a condensate of bosonic atoms and related "super-chemical" dynamics have raised an intriguing set of questions. Here we provide a microscopic understanding of this…

Quantum Gases · Physics 2024-07-16 Zhiqiang Wang , Ke Wang , Zhendong Zhang , Shu Nagata , Cheng Chin , K. Levin

In a mixture of two Bose-Einstein condensates, the interactions can be tuned such that self-bound objects called quantum droplets appear. Whereas the ground states of such quantum droplets at finite temperature have been studied for three-…

Quantum Gases · Physics 2026-04-28 Jeroen Van Loock , Denise Ahmed-Braun , Jacques Tempere

We analyze the Bose-Hubbard model with a three-body hardcore constraint by mapping the system to a theory of two coupled bosonic degrees of freedom. We find striking features that could be observable in experiments, including a quantum…

Quantum Gases · Physics 2010-05-17 S. Diehl , M. Baranov , A. J. Daley , P. Zoller

A microscopic statistical model of a quantum solid is developed, where inside a crystalline lattice there can exist regions of disorder, such as dislocation networks or grain boundaries. The cores of these regions of disorder are allowed…

Statistical Mechanics · Physics 2023-01-04 V. I. Yukalov , E. P. Yukalova

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh

Bose mixture quantum droplets display a fascinating stability that relies on quantum fluctuations to prevent collapse driven by mean-field effects. Most droplet research focuses on untrapped or weakly trapped scenarios, where the droplets…

Quantum Gases · Physics 2023-09-27 T. A. Yoğurt , U. Tanyeri , A. Keleş , M. Ö. Oktel

We report on the dynamical formation of self-bound quantum droplets in attractive mixtures of $^{39}$K atoms. Considering the experimental observations of Semeghini et al., Phys. Rev. Lett. 120, 235301 (2018), we perform numerical…

Quantum Gases · Physics 2020-03-18 G. Ferioli , G. Semeghini , S. Terradas-Briansó , L. Masi , M. Fattori , M. Modugno

We investigate wetting phenomena between self-bound quantum fluids in a three-component Bose mixture of $^{23}$Na, $^{39}$K, and $^{41}$K atoms. Within a density-functional approach including mean-field interactions and Lee-Huang-Yang…

Quantum Gases · Physics 2026-05-28 Francesco Ancilotto

Great effort has been invested over the past decade in studying the properties of quantum droplets, a phase of bosonic quantum matter that arises as a consequence of the fluctuating Lee-Huang-Yang correction. However, the dynamics of…

Quantum Gases · Physics 2026-01-27 Enrique Calderoli , Gerardo Martinez

We present a theory for the emergence of a supersolid state in a cigar-shaped dipolar quantum Bose gas. Our approach is based on a reduced three-dimensional (3D) theory, where the condensate wavefunction is decomposed into an axial field…

Quantum Gases · Physics 2020-12-08 P. B. Blakie , D. Baillie , L. Chomaz , F. Ferlaino

We study quantum droplets emerging in a quasi-one-dimensional asymmetric mixture of two atomic species with different intra-component coupling constants. We find that such mixtures support a rich variety of multipole quantum droplets, where…

Quantum Gases · Physics 2024-08-29 Yaroslav V. Kartashov , Dmitry A. Zezyulin

We analyze the dynamics of a dilute, trapped Bose-condensed atomic gas coupled to a diatomic molecular Bose gas by coherent Raman transitions. This system is shown to result in a new type of `superchemistry', in which giant collective…

Statistical Mechanics · Physics 2009-11-07 D. J. Heinzen , R. H. Wynar , P. D. Drummond , K. V. Kheruntsyan

Dipolar Bose-Einstein condensates represent a powerful platform for the exploration of quantum many-body phenomena arising from long-range interactions. A series of recent experiments has demonstrated the formation of supersolid states of…

Quantum Gases · Physics 2021-07-14 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher