摘要: Lee-Huang-Yang (LHY) fluids are an exotic quantum matter dominated purely by
quantum fluctuations. Recently, the three-dimensional LHY fluids were observed
in ultracold atoms experiments, while their low-dimensional counterparts have
not been well known. Herein, based on the Gross-Pitaevskii equation of
one-dimensional LHY quantum fluids in two-component Bose-Einstein condensates,
we reveal analytically and numerically the formation, properties, and dynamics
of matter-wave structures therein. Considering a harmonic trap, approximate
analytical results are obtained based on variational approximation, and
higher-order nonlinear localized modes with nonzero nodes are constructed
numerically. Stability regions of all the LHY nonlinear localized modes are
identified by linear-stability analysis and direct perturbed numerical
simulations. Movements and oscillations of single localized mode, and
collisions between two modes, under the influence of different initial kicks
are also studied in dynamical evolutions. The predicted results are available
to quantum-gas experiments, providing a new insight into LHY physics in
low-dimensional settings.