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Interaction of one-dimensional quantum droplets with potential wells and barriers

Argha Debnath, Ayan Khan, Boris A. Malomed

arXiv:2302.13367Communications in Nonlinear Science and Numerical SimulationJul 23, 202323 citations

Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures

Sherzod R. Otajonov, Bakhram Umarov, F. Kh. Abdullaev

arXiv:2407.07384Chaos Solitons & FractalsJul 16, 202412 citations

Double-flattop quantum droplets in low-dimensional Bose–Bose mixtures

Yaroslav V. Kartashov, Dmitry A. Zezyulin

arXiv:2411.08578Chaos Solitons & FractalsNov 26, 20248 citations

Quantum droplet molecules in Bose-Bose mixtures

Khelifa Mohammed Elhadj, Laila Y. Al Sakkaf, Abdelâali Boudjemâa +1 more

Physics Letters ADec 11, 20237 citations

Impurities in quasi-one-dimensional droplets of binary Bose mixtures

Sudip Sinha, Sayak Biswas, Luis Santos +1 more

Recently created self-bound quantum droplets of binary Bose mixtures open intriguing possibilities for the study of impurity physics. We show that the properties of impurities embedded in quasi-one-dimensional droplets are determined by the interplay between back-action and quantum fluctuations. Due to such back-action, repulsive impurities may form a metastable quasi-bound state inside the droplet. In contrast, attractive impurities remain bound to the droplet, leading to the hybridization of droplet and impurity excitations, as well as to peculiar scattering resonances. Interestingly, impurity trapping may result solely from the effect of quantum fluctuations. These results may readily be probed experimentally by doping the currently available droplets of binary mixtures.Recently created self-bound quantum droplets of binary Bose mixtures open intriguing possibilities for the study of impurity physics. We show that the properties of impurities embedded in quasi-one-dimensional droplets are determined by the interplay between back-action and quantum fluctuations. Due to such back-action, repulsive impurities may form a metastable quasi-bound state inside the droplet. In contrast, attractive impurities remain bound to the droplet, leading to the hybridization of droplet and impurity excitations, as well as to peculiar scattering resonances. Interestingly, impurity trapping may result solely from the effect of quantum fluctuations. These results may readily be probed experimentally by doping the currently available droplets of binary mixtures.

arXiv:2304.04261Physical Review AAug 16, 202314 citations

Faraday waves and droplets in quasi-one-dimensional Bose gas mixtures

F. Kh. Abdullaev, A. Gammal, R. Kishor Kumar +1 more

Abstract Faraday waves in mixtures of Bose gases are studied by taking into account quantum fluctuations beyond the Gross–Pitaevskii mean-field formalism with the Lee–Huang–Yang term. For that, a Bose–Einstein condensed binary atomic mixture is assumed trapped in cigar-type geometry, having the inter- and intra-species scattering lengths periodically varying in time. The period of the Faraday patterns is shown to be quite sensitive to the estimated value obtained by the beyond mean-field contribution, which can be used to measure quantum fluctuations in the ground state of the quasi-one-dimensional mixture. By studying the influence of the above nonlinear periodic modulations on quantum droplet dynamics, we also show that nonlinear resonances are excited in the oscillation widths of the quantum droplets. Variational predictions confirm numerical simulations for the corresponding formalism.Abstract Faraday waves in mixtures of Bose gases are studied by taking into account quantum fluctuations beyond the Gross–Pitaevskii mean-field formalism with the Lee–Huang–Yang term. For that, a Bose–Einstein condensed binary atomic mixture is assumed trapped in cigar-type geometry, having the inter- and intra-species scattering lengths periodically varying in time. The period of the Faraday patterns is shown to be quite sensitive to the estimated value obtained by the beyond mean-field contribution, which can be used to measure quantum fluctuations in the ground state of the quasi-one-dimensional mixture. By studying the influence of the above nonlinear periodic modulations on quantum droplet dynamics, we also show that nonlinear resonances are excited in the oscillation widths of the quantum droplets. Variational predictions confirm numerical simulations for the corresponding formalism.

Journal of Physics B Atomic Molecular and Optical PhysicsAug 13, 201918 citations

Quantum scattering of droplets by wells and barriers in one-dimensional Bose–Bose mixtures

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