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Ultracold dipolar droplets have been realized in a series of ground-breaking experiments, where the stability of the droplet state is attributed to beyond-mean-field effects in the form of the celebrated Lee-Huang-Yang (LHY) correction. We…

Quantum Gases · Physics 2020-12-17 Matthew Edmonds , Thomas Bland , Nick G. Parker

We observe monopole oscillations in a mixture of Bose-Einstein condensates, where the usually dominant mean-field interactions are canceled. In this case, the system is governed by the next-order Lee-Huang-Yang (LHY) correction to the…

Quantum Gases · Physics 2021-06-17 Thomas G. Skov , Magnus G. Skou , Nils B. Jørgensen , Jan J. Arlt

Lee-Huang-Yang (LHY) fluids are an exotic quantum matter dominated purely by quantum fluctuations. Recently, the three-dimensional LHY fluids were observed in ultracold atoms experiments, while their low-dimensional counterparts have not…

Quantum Gases · Physics 2022-05-30 Xiuye Liu , Jianhua Zeng

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

The Lee-Huang-Yang (LHY) energy correction at the edge of the mean-field stability regime is known to give rise to beyond mean-field structures in a wide variety of systems. In this work, we analytically derive the LHY energy for two-,…

Quantum Gases · Physics 2025-11-26 I. A. Englezos , P. Schmelcher , S. I. Mistakidis

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

Recent experiments have revealed that beyond-mean-field corrections are much more relevant in weakly-interacting dipolar condensates than in their non-dipolar counterparts. We show that in quasi-one-dimensional geometries quantum…

Quantum Gases · Physics 2017-08-04 Daniel Edler , Chinmayee Mishra , Falk Wächtler , Rejish Nath , Subhasis Sinha , Luis Santos

The nucleation and dynamics of vortices in the quasi-two-dimensional rotating dipolar Bose-Einstein condensate are explored by taking into account the Lee-Huang-Yang (LHY) correction to the mean-field (MF) theory. Assuming approximate…

Quantum Gases · Physics 2026-02-16 S. Sabari , R. Radha , Lauro Tomio , B. A. Malomed

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 study the behavior of a quantum dipolar Bose condensate with the Lee-Huang-Yang quantum corrections at zero temperature in the presence of weak disorder potential. We solve the underlying nonlocal Gross-Pitaevskii equation using a…

Disordered Systems and Neural Networks · Physics 2019-08-14 Abdelaali Boudjemaa

We exemplify the impact of beyond Lee-Huang-Yang (LHY) physics, especially due to intercomponent correlations, in the ground state and the quench dynamics of one-dimensional so-called quantum droplets using an ab-initio nonperturbative…

Quantum Gases · Physics 2021-11-23 S. I. Mistakidis , T. Mithun , P. G. Kevrekidis , H. R. Sadeghpour , P. Schmelcher

We predict that one- and two-dimensional self-bound quantum droplets, forming in Bose-Einstein condensates in the presence of Lee-Huang-Yang (LHY) quantum corrections to the mean-field energy, may demonstrate exceptional mobility in…

Quantum Gases · Physics 2024-04-15 Yaroslav V. Kartashov , Dmitry A. Zezyulin

Recently, trapped dipolar gases were observed to form high density droplets in a regime where mean field theory predicts collapse. These droplets present a novel form of equilibrium where quantum fluctuations are critical for stability. So…

Quantum Gases · Physics 2020-10-07 E. Aybar , M. O. Oktel

Quantum droplets (QDs) in weakly interacting ultracold quantum gases are typically characterized by mean-field theories incorporating Lee-Huang-Yang (LHY) quantum fluctuations under simplified zero-range interaction assumptions. However,…

Quantum Gases · Physics 2025-12-15 Yi Zhang , Xiaoran Ye , Ziheng Zhou , Zhaoxin Liang

The beyond-mean-field Lee-Huang-Yang (LHY) correction is ubiquitous in dilute ultracold quantum gases. However, its effects are often elusive due to the typically much larger influence of the mean-field energy. In this work, we study an…

Quantum Gases · Physics 2022-01-20 Zhichao Guo , Fan Jia , Lintao Li , Yinfeng Ma , Jeremy M. Hutson , Xiaoling Cui , Dajun Wang

We calculate analytically the quantum and thermal fluctuations corrections of a dilute quasi-two-dimensional Bose-condensed dipolar gas. We show that these fluctuations may change their character from repulsion to attraction in the…

Quantum Gases · Physics 2019-09-18 Abdelaali Boudjemaa

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

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

The discovery of ultracold dilute liquids has significantly elevated our interest in various phenomena which go under the name of beyond-mean-field (BMF) physics. In these lecture notes we give an elementary introduction to the quantum…

Quantum Gases · Physics 2023-12-12 D. S. Petrov

We revisit dipolar motion of condensate atoms in one-dimensional optical lattices and harmonic magnetic traps including quantum fluctuations within the truncated Wigner approximation. In the strong tunneling limit we reproduce the meanfield…

Soft Condensed Matter · Physics 2007-05-23 Anatoli Polkovnikov , Daw-Wei Wang
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