Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Abstract

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 approach. It is found that the droplet Gaussian-shaped configuration arising for intercomponent attractive couplings becomes narrower for stronger intracomponent repulsion and transits towards a flat-top structure either for larger particle numbers or weaker intercomponent attraction. Additionally, a harmonic trap prevents the flat-top formation. At the balance point where mean-field interactions cancel out, we show that a correlation hole is present in the few particle limit of these fluids as well as for flat-top droplets. Introducing mass-imbalance, droplets experience intercomponent mixing and excitation signatures are identified for larger masses. Monitoring the droplet expansion (breathing motion) upon considering interaction quenches to stronger (weaker) attractions we explicate that beyond LHY correlations result in a reduced velocity (breathing frequency). Strikingly, the droplets feature two-body anti-correlations (correlations) at the same position (longer distances). Our findings pave the way for probing correlation-induced phenomena of droplet dynamics in current ultracold atom experiments.

16 pages, 10 figures

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• Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
• Collective excitations in two-dimensional harmonically trapped quantum droplets
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• The Effective Single-mode model of a Binary Boson Mixture in the Quantum Droplet Region
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• Two-component droplet phases and their spectral stability in one dimension
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• Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures
• Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
• The bulk modulus of three-dimensional quantum droplets
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Localization and splitting of a quantum droplet with a potential defect
• One-dimensional asymmetrically interacting quantum droplets in Bose-Bose mixtures
• Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
• Energy spectra and fluxes of two-dimensional turbulent quantum droplets
• Interaction imbalanced spin-orbit coupled quantum droplets
• Multicomponent one-dimensional quantum droplets across the mean-field stability regime
• From spontaneous to explicit symmetry breaking in a finite-sized system: Bosonic bound states of an impurity
• Phases and dynamics of an impurity immersed in one-dimensional quantum droplets