Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases

Quantum droplets are ultradilute liquid states that 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 droplets in symmetric and asymmetric two-component one-dimen...

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Main Authors: Thudiyangal Mithun, Aleksandra Maluckov, Kenichi Kasamatsu, Boris A. Malomed, Avinash Khare
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/1/174
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author Thudiyangal Mithun
Aleksandra Maluckov
Kenichi Kasamatsu
Boris A. Malomed
Avinash Khare
author_facet Thudiyangal Mithun
Aleksandra Maluckov
Kenichi Kasamatsu
Boris A. Malomed
Avinash Khare
author_sort Thudiyangal Mithun
collection DOAJ
description Quantum droplets are ultradilute liquid states that 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 droplets in symmetric and asymmetric two-component one-dimensional boson systems to the modulational instability of a spatially uniform state driven by the beyond-mean-field term. Asymmetry between the components may be caused by their unequal populations or unequal intra-component interaction strengths. Stability of both symmetric and asymmetric droplets is investigated. Robustness of the symmetric solutions against symmetry-breaking perturbations is confirmed.
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spelling doaj.art-0627468a028746668de928d43f1683f92022-12-22T02:58:41ZengMDPI AGSymmetry2073-89942020-01-0112117410.3390/sym12010174sym12010174Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose GasesThudiyangal Mithun0Aleksandra Maluckov1Kenichi Kasamatsu2Boris A. Malomed3Avinash Khare4Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon 34141, KoreaVinca Institute of Nuclear Sciences, University of Belgrade, P. O. B. 522, 11001 Belgrade, SerbiaDepartment of Physics, Kindai University, Higashi-Osaka, Osaka 577-8502, JapanDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, Tel Aviv 69978, IsraelDepartment of Physics, Savitribai Phule Pune University, Pune 411007, IndiaQuantum droplets are ultradilute liquid states that 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 droplets in symmetric and asymmetric two-component one-dimensional boson systems to the modulational instability of a spatially uniform state driven by the beyond-mean-field term. Asymmetry between the components may be caused by their unequal populations or unequal intra-component interaction strengths. Stability of both symmetric and asymmetric droplets is investigated. Robustness of the symmetric solutions against symmetry-breaking perturbations is confirmed.https://www.mdpi.com/2073-8994/12/1/174quantum dropletbinary bose–einstein condensatemodulational instability
spellingShingle Thudiyangal Mithun
Aleksandra Maluckov
Kenichi Kasamatsu
Boris A. Malomed
Avinash Khare
Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
Symmetry
quantum droplet
binary bose–einstein condensate
modulational instability
title Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
title_full Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
title_fullStr Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
title_full_unstemmed Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
title_short Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
title_sort modulational instability inter component asymmetry and formation of quantum droplets in one dimensional binary bose gases
topic quantum droplet
binary bose–einstein condensate
modulational instability
url https://www.mdpi.com/2073-8994/12/1/174
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