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We calculate the excitation spectrum of a one-dimensional self-bound quantum droplet in a two-component bosonic mixture described by the Gross-Pitaevskii equation (GPE) with cubic and quadratic nonlinearities. The cubic term originates from…

Quantum Gases · Physics 2020-06-01 Marek Tylutki , Grigori E. Astrakharchik , Boris A. Malomed , Dmitry S. Petrov

The collective excitation modes in quantum droplets trapped in a two-dimensional harmonic potential in the context of symmetric weakly interacting binary bosonic mixtures are studied. By utilizing the linearization technique, the…

Quantum Gases · Physics 2024-08-30 Yifan Fei , Xucong Du , Xiao-Long Chen , Yunbo Zhang

We study the stationary and excitation properties of a one-dimensional quantum droplet in the two-component Bose mixture trapped in a harmonic potential. By constructing the energy functional for the inhomogeneous mixture, we elaborate the…

Quantum Gases · Physics 2024-08-26 Xucong Du , Yifan Fei , Xiao-Long Chen , Yunbo Zhang

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 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

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 explore the ground state properties and excitation spectra of one-dimensional three-component bosonic mixtures accommodating a droplet in two of the species and a third minority component. Relying on the suitable Lee-Huang-Yang…

Quantum Gases · Physics 2026-01-09 I. A. Englezos , E. G. Charalampidis , P. Schmelcher , S. I. Mistakidis

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

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 calculate the collective excitations of a dipolar Bose-Einstein condensate in the regime where it self-binds into droplets stabilized by quantum fluctuations. We show that the filament-shaped droplets act as a quasi-one-dimensional…

Quantum Gases · Physics 2017-12-25 D. Baillie , R. M. Wilson , P. B. Blakie

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

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 investigate the influence of a constant and time-dependent linear gravitational-like potential on one-dimensional quantum droplets (QDs), governed by an extended GPE incorporating a repulsive cubic effective mean-field (EMF) term and an…

Quantum Physics · Physics 2025-08-07 Saurab Das , Jayanta Bera , Ajay Nath

An ultradilute quantum droplet is a self-bound liquid-like state recently observed in ultracold Bose-Einstein condensates. In all previous theoretical studies, it is described by a phenomenological low-energy effective theory, termed as the…

Quantum Gases · Physics 2020-10-07 Hui Hu , Xia-Ji Liu

In the limit when the two-body scattering length $a$ is negative and much larger than the effective two-body interaction radius the contribution to the ground state energy due to the three-body correlations is given by the Efimov effect.…

Statistical Mechanics · Physics 2011-08-12 Aurel Bulgac

We study collective excitations of a trapped Fermi gas at finite temperature using the Bogoliubov-deGennes mean-field theory in conjunction with the generalized random phase approximation. The collective excitations are analyzed through the…

Quantum Gases · Physics 2015-06-16 A. Korolyuk , J. J. Kinnunen , P. Törmä

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

We investigate different types of collective excitations in a quantum dot containing finite number of electrons at zero magnetic field. To estimate the excitation energies analytically we follow the energy weighted sum-rule approach. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Subhasis Sinha

We address the existence and dynamics of one-dimensional harmonically confined quantum droplets, appearing in two-component mixtures by deploying a nonperturbative approach. We find that, in symmetric homonuclear settings, beyond…

Quantum Gases · Physics 2023-02-24 I. A. Englezos , S. I. Mistakidis , P. Schmelcher

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
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