Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases
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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.
Keywords:
quantum droplet / binary Bose-Einstein condensate / modulational instabilitySource:
Symmetry, 2020, 12, 1, 174-Funding / projects:
- IBS [IBS-R024-D1]
- Photonics of micro and nano structured materials (RS-45010)
- COST Action [CA16221]
- Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT), Japan Society for the Promotion of Science [18K03472]
- Israel Science Foundation [1287/17]
- Indian National Science Academy
DOI: 10.3390/sym12010174
ISSN: 2073-8994
WoS: 000516823700174
Scopus: 2-s2.0-85084071702
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VinčaTY - JOUR AU - Mithun, Thudiyangal AU - Maluckov, Aleksandra AU - Kasamatsu, Kenichi AU - Malomed, Boris A AU - Khare, Avinash PY - 2020 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8977 AB - 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. T2 - Symmetry T1 - Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases VL - 12 IS - 1 SP - 174 DO - 10.3390/sym12010174 ER -
@article{ author = "Mithun, Thudiyangal and Maluckov, Aleksandra and Kasamatsu, Kenichi and Malomed, Boris A and Khare, Avinash", year = "2020", abstract = "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.", journal = "Symmetry", title = "Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases", volume = "12", number = "1", pages = "174", doi = "10.3390/sym12010174" }
Mithun, T., Maluckov, A., Kasamatsu, K., Malomed, B. A.,& Khare, A.. (2020). Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases. in Symmetry, 12(1), 174. https://doi.org/10.3390/sym12010174
Mithun T, Maluckov A, Kasamatsu K, Malomed BA, Khare A. Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases. in Symmetry. 2020;12(1):174. doi:10.3390/sym12010174 .
Mithun, Thudiyangal, Maluckov, Aleksandra, Kasamatsu, Kenichi, Malomed, Boris A, Khare, Avinash, "Modulational Instability, Inter-Component Asymmetry, and Formation of Quantum Droplets in One-Dimensional Binary Bose Gases" in Symmetry, 12, no. 1 (2020):174, https://doi.org/10.3390/sym12010174 . .