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Quantum droplets are a quantum analogue to classical fluid droplets in that they are self-bound and display liquid-like properties -- such as incompressibility and surface tension -- though their stability is the result of quantum…

Quantum Gases · Physics 2023-07-25 Thomas A. Flynn , Luca Parisi , Thomas P. Billam , Nick G. Parker

Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states of different nature: bright solitons and quantum liquid droplets. Here, we investigate the connection between them with a Bose-Bose mixture confined in…

Quantum Gases · Physics 2018-04-04 P. Cheiney , C. R. Cabrera , J. Sanz , B. Naylor , L. Tanzi , L. Tarruell

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

Quantum droplets are formed in quantum many-body systems when the competition of quantum corrections with the mean-field interaction yields a stable self-bound quantum liquid. We predict the emergence of a quantum droplet when a…

Quantum Gases · Physics 2025-09-08 Leon Mixa , Milan Radonjić , Axel Pelster , Michael Thorwart

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

This brief review summarizes recent theoretical and experimental results which predict and establish the existence of quantum droplets (QDs), i.e., robust two- and three-dimensional (2D and 3D) self-trapped states in Bose-Einstein…

Quantum Gases · Physics 2020-10-21 Zhihuan Luo , Wei Pang , Bin Liu , Yongyao Li , Boris A. Malomed

Self-bound many-body systems are formed through a balance of attractive and repulsive forces and occur in many physical scenarios. Liquid droplets are an example of a self-bound system, formed by a balance of the mutual attractive and…

Quantum droplets may form out of a gaseous Bose-Einstein condensate, stabilized by quantum fluctuations beyond mean field. We show that multiple singly-quantized vortices may form in these droplets at moderate angular momenta in two…

Quantum Gases · Physics 2019-10-23 M. Nilsson Tengstrand , P. Stürmer , E. Karabulut , S. M. Reimann

Quantum fluctuations are the origin of genuine quantum many-body effects, and can be neglected in classical mean-field phenomena. Here we report on the observation of stable quantum droplets containing $\sim$ 800 atoms which are expected to…

Quantum Gases · Physics 2016-05-25 Igor Ferrier-Barbut , Holger Kadau , Matthias Schmitt , Matthias Wenzel , Tilman Pfau

Helium nanodroplets and trapped Bose-Einstein condensates in dilute atomic gases offer complementary views of fundamental aspects of quantum many-body systems. We discuss analogies and differences, stressing their common theoretical…

Condensed Matter · Physics 2009-11-07 F. Dalfovo , S. Stringari

Quantum droplets are dilute self-bound configurations of bosons that result from the balance between a mean-field attraction and a repulsion induced by quantum fluctuations. Such droplets have been successfully realized in cold atomic gases…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Matteo Caldara , Olivier Bleu , Francesca Maria Marchetti , Jesper Levinsen , Meera M. Parish

While binary atomic Bose-Einstein condensates are typically prone to collapse under strong interspecies attraction, it has been shown that higher-order fluctuation corrections, known as Lee-Huang-Yang corrections, can stabilize the mixture.…

Quantum Gases · Physics 2025-08-25 Wen-Bin He , Su Yi , Thomas Busch

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 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

We demonstrate the existence of quantum droplets in two-component one-dimensional Bose-Hubbard chains. The droplets exist for any strength of repulsive intra-species interactions provided they are balanced by comparable attractive…

Quantum Gases · Physics 2020-04-15 Ivan Morera , Grigori E. Astrakharchik , Artur Polls , Bruno Juliá-Díaz

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

The properties of 3D Bose-Einstein condensate have been studied with variational and numerical methods. In the variational approach, we use the super-Gaussian trial function, and it is demonstrated that this trial function gives a good…

Quantum Gases · Physics 2022-07-04 Sherzod R. Otajonov

The structure and dynamics of one-dimensional binary Bose gases forming quantum droplets is studied by solving the corresponding amended Gross-Pitaevskii equation. Two physically different regimes are identified, corresponding to small…

Quantum Gases · Physics 2018-08-01 G. E. Astrakharchik , B. A. Malomed

Quantum droplets have been recently observed in dipolar Bose-Einstein condensates (BECs) and in BEC mixtures. This forms the motivation for us to explore the dynamics of these droplets. We make use of the Extended Gross-Pitaevski equation…

Quantum Gases · Physics 2025-08-14 Akshat Pandey , Ayan Khan

The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational…

Quantum Gases · Physics 2024-07-11 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev
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