Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture

We study two-dimensional (2D) isotropic quantum droplets (QDs) in dipolar binary Bose–Einstein condensates (BECs). The QDs are supported by the competition between the 2D form of the Lee-Huang-Yang (LHY) term and the isotropic dipole-dipole interactions (DDIs). Moreover, the DDIs in the 2D plane can...

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Main Authors: Aowei Yang, Guilong Li, Xunda Jiang, Zhiwei Fan, Zhaopin Chen, Bin Liu, Yongyao Li
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/4/405
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author Aowei Yang
Guilong Li
Xunda Jiang
Zhiwei Fan
Zhaopin Chen
Bin Liu
Yongyao Li
author_facet Aowei Yang
Guilong Li
Xunda Jiang
Zhiwei Fan
Zhaopin Chen
Bin Liu
Yongyao Li
author_sort Aowei Yang
collection DOAJ
description We study two-dimensional (2D) isotropic quantum droplets (QDs) in dipolar binary Bose–Einstein condensates (BECs). The QDs are supported by the competition between the 2D form of the Lee-Huang-Yang (LHY) term and the isotropic dipole-dipole interactions (DDIs). Moreover, the DDIs in the 2D plane can be tuned to be either repulsive or attractive. Before that, QDs in dipolar BECs were often explored in three-dimensional (3D) systems, with competition between the attractive DDIs and the repulsive LHY term. Unlike the 3D system, the LHY term of the 2D binary system behaves in a logarithmic form, which can feature both attraction and repulsion. In this case, the QDs can be produced regardless of the interactions (attraction, repulsion, or zero) that the mean-field effect represents. In this paper, we model the aforementioned QDs via the 2D binary dipolar BECs with the competition between isotropic DDIs and the logarithmic LHY term. Their characteristic parameters (the peak density, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>I</mi><mi mathvariant="normal">P</mi></msub></semantics></math></inline-formula>, chemical potential, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>, and effective area, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>A</mi><mi>eff</mi></msub></semantics></math></inline-formula>) using both numerical and theoretical methods are discussed. The centripetal collision and oblique collision between moving QDs are also studied.
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spelling doaj.art-b11bca69882a4a34aea2217e624b979a2023-11-17T20:57:35ZengMDPI AGPhotonics2304-67322023-04-0110440510.3390/photonics10040405Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose MixtureAowei Yang0Guilong Li1Xunda Jiang2Zhiwei Fan3Zhaopin Chen4Bin Liu5Yongyao Li6Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528225, ChinaGuangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528225, ChinaGuangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528225, ChinaDepartment of Physics, University of Bath, Bath BA2 7AY, UKPhysics Department and Solid-State Institute, Technion, Haifa 32000, IsraelGuangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528225, ChinaGuangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528225, ChinaWe study two-dimensional (2D) isotropic quantum droplets (QDs) in dipolar binary Bose–Einstein condensates (BECs). The QDs are supported by the competition between the 2D form of the Lee-Huang-Yang (LHY) term and the isotropic dipole-dipole interactions (DDIs). Moreover, the DDIs in the 2D plane can be tuned to be either repulsive or attractive. Before that, QDs in dipolar BECs were often explored in three-dimensional (3D) systems, with competition between the attractive DDIs and the repulsive LHY term. Unlike the 3D system, the LHY term of the 2D binary system behaves in a logarithmic form, which can feature both attraction and repulsion. In this case, the QDs can be produced regardless of the interactions (attraction, repulsion, or zero) that the mean-field effect represents. In this paper, we model the aforementioned QDs via the 2D binary dipolar BECs with the competition between isotropic DDIs and the logarithmic LHY term. Their characteristic parameters (the peak density, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>I</mi><mi mathvariant="normal">P</mi></msub></semantics></math></inline-formula>, chemical potential, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>, and effective area, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>A</mi><mi>eff</mi></msub></semantics></math></inline-formula>) using both numerical and theoretical methods are discussed. The centripetal collision and oblique collision between moving QDs are also studied.https://www.mdpi.com/2304-6732/10/4/405quantum dropletsdipolar binary Bose–Einstein condensatesLee-Huang-Yang term
spellingShingle Aowei Yang
Guilong Li
Xunda Jiang
Zhiwei Fan
Zhaopin Chen
Bin Liu
Yongyao Li
Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
Photonics
quantum droplets
dipolar binary Bose–Einstein condensates
Lee-Huang-Yang term
title Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
title_full Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
title_fullStr Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
title_full_unstemmed Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
title_short Two-Dimensional Quantum Droplets in Binary Dipolar Bose-Bose Mixture
title_sort two dimensional quantum droplets in binary dipolar bose bose mixture
topic quantum droplets
dipolar binary Bose–Einstein condensates
Lee-Huang-Yang term
url https://www.mdpi.com/2304-6732/10/4/405
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