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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

Quantum droplets are ultradilute liquid states which emerge from the competitive interplay of two Hamiltonian terms, the mean-field energy and beyond-mean-field correction, in a weakly interacting binary Bose gas. We relate the formation of…

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

We investigate beyond-mean-field corrections to the energy of an elongated homogeneous Bose gas strongly confined in two directions, with dipoles aligned along the long axis of the system. When the dipolar interaction reaches its critical…

Quantum Gases · Physics 2024-10-29 Maciej Pylak , Mariusz Gajda , Paweł Zin

We describe a quantum droplet of a Bose-Bose mixture squeezed by an external harmonic forces in one spatial direction. Our approach is based on the self-consistent method formulated in [1]. The true spatial droplet profile in the direction…

Quantum Gases · Physics 2022-08-17 Paweł Zin , Maciej Pylak , Mariusz Gajda

In quantum droplets, the mean-field energy is comparable to the Lee-Huang-Yang (LHY) energy. In the Bogoliubov theory, the LHY energy of the quantum droplet has an imaginary part, but it is neglected for practical purposes. So far, most…

Quantum Physics · Physics 2023-11-30 Fan Zhang , Lan Yin

The beyond-mean-field corrections appropriate to a bosonic many-body system experiencing a density-dependent gauge potential are derived, and from this the dimensional hierarchy of quantum droplet solutions are explored. Non-stationary…

Quantum Gases · Physics 2025-04-28 Matthew Edmonds , Patrik Öhberg

Recent studies on supersolidity in a single-component Bose-Einstein condensate (BEC) have relied on the Lee-Huang-Yang (LHY) correction for stabilization of self-bound droplets, which however involves a high density inside the droplets,…

Quantum Gases · Physics 2022-06-22 Shaoxiong Li , Uyen Ngoc Le , Hiroki Saito

We analytically calculate the leading quantum corrections of the ground-state energy of two- and one-dimensional weakly interacting Rabi-coupled Bose-Bose mixtures in the frame of the Bogoliubov approximation. We show that to repulsive…

Quantum Gases · Physics 2019-05-23 Emerson Chiquillo

We have theoretically studied the collective modes of a quasi two-dimensional (Q2D) Bose condensate in the large gas parameter regime by using a formalism which treats the interaction energy beyond the mean-field approximation. In the…

Other Condensed Matter · Physics 2009-11-11 S. R. Mishra , S. P. Ram , Arup Banerjee

Understanding the effects of interactions in complex quantum systems beyond the mean-field paradigm constitutes a fundamental problem in physics. Here, we show how the atom numbers and interactions in a Bose-Bose mixture can be tuned to…

Quantum Gases · Physics 2018-10-29 Nils B. Jørgensen , Georg M. Bruun , Jan J. Arlt

We report on the formation of heteronuclear quantum droplets in an attractive bosonic mixture of 41K and 87Rb. We observe long-lived self-bound states, both in free space and in an optical waveguide. In the latter case, the dynamics under…

Quantum Gases · Physics 2019-12-11 C. D'Errico , A. Burchianti , M. Prevedelli , L. Salasnich , F. Ancilotto , M. Modugno , F. Minardi , C. Fort

We investigate the properties of self-bound ultradilute Bose-Bose mixtures, beyond the Lee-Huang-Yang description. Our approach is based on the determination of the beyond mean-field corrections to the phonon modes of the mixture in a…

Quantum Gases · Physics 2020-08-19 Miki Ota , Grigori E. Astrakharchik

We demonstrate how the beyond-mean-field Lee-Huang-Yang (LHY) corrections and its related physics can be naturally incorporated into the representation of an ultracold Bose gas using the truncated Wigner approach without invoking effective…

Quantum Gases · Physics 2026-03-09 King Lun Ng , Maciej Bartłomiej Kruk , Piotr Deuar

Quantum droplets (QDs), formed by ultradilute quantum fluids under the action of the Lee-Huang-Yang (LHY) effect, provide a unique platform for investigating a wide range of macroscopic quantum effects. Recent studies of QDs' breathing…

Quantum Gases · Physics 2026-04-23 Zibin Zhao , Guilong Li , Zhaopin Chen , Huan-Bo Luo , Bin Liu , Boris A. Malomed , Yongyao Li

The existence of quantum droplets in binary Bose-Einstein condensate mixtures rely on beyondmean field effects, competing with mean-field effects. Interestingly, the beyond-mean field effect is changing from repulsive in 3D to attractive in…

Quantum Gases · Physics 2020-11-26 L Lavoine , T Bourdel

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 have investigated self-bound binary ultra dilute bosonic mixtures at zero temperature within Density Functional Theory using a Local Density Approximation. We provide the explicit expression of the Lee-Huang-Yang correction in the…

Quantum Gases · Physics 2018-11-28 Francesco Ancilotto , Manuel Barranco , Montserrat Guilleumas , Marti Pi

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

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…