Journal
NEW JOURNAL OF PHYSICS
Volume 25, Issue 9, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/acf8ed
Keywords
quantum droplets; higher-order effects; HFB theory; One dimension; spatiotemporal evolution
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In this paper, the static and dynamic properties of self-bound quantum droplets in a one-dimensional Bose-Bose mixture are discussed. The effect of beyond LHY corrections on the droplets is also explored. The results provide insights into the behavior of these droplets in different conditions.
The static and dynamic properties of self-bound quantum droplets in a one-dimensional Bose-Bose mixture are discussed in the spirit of the Hartree-Fock-Bogoliubov theory. This latter enables us to provide beyond the Lee-Huang-Yang (LHY) quantum corrections to the equation of state at both zero and finite temperatures. In the uniform case our results for the ground-state energy and the critical temperature are confirmed through comparison with Quantum Monte-Carlo simulation and with available theoretical results. The density profiles are supported by numerical simulations of the generalized Gross-Pitaevskii equation which selfconsistently includes higher-order terms originating from the normal and anomalous fluctuations under the local density approximation. We show that the density exhibits a dip near its center in the flat-top plateau region for large interspecies interactions. We exemplify the impact of the beyond LHY corrections on the spatiotemporal evolution of the self-bound droplet in the presence of excitation induced by periodic density modulation. It is found that higher-order corrections may lead to the formation of a train of small droplets. We then extend our study for the case of inhomogeneous droplets in quasi one-dimensional Bose mixtures.
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