Superfluid-droplet crossover in a binary boson mixture on a ring: Exact diagonalization solutions for few-particle systems in one dimension

• URL: http://arxiv.org/abs/2302.00385v1
• Date: Wed, 1 Feb 2023 11:45:45 GMT
• Title: Superfluid-droplet crossover in a binary boson mixture on a ring: Exact diagonalization solutions for few-particle systems in one dimension
• Authors: L. Chergui, J. Bengtsson, J. Bjerlin, P. St\"urmer, G.M. Kavoulakis and S.M. Reimann
• Abstract summary: We investigate the formation of self-bound quantum droplets in a one-dimensional binary mixture of bosonic atoms. Results show a remarkable agreement between the few-body regime and the thermodynamic limit in one dimension.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the formation of self-bound quantum droplets in a one-dimensional binary mixture of bosonic atoms, applying the method of numerical diagonalization of the full Hamiltonian. The excitation spectra and ground-state pair correlations signal the formation of a few-boson droplet when crossing the region of critical inter-species interactions. The self-binding affects the rotational excitations, displaying a change in the energy dispersion from negative curvature, associated with superfluidity in the many-body limit, to a nearly parabolic curvature indicative of rigid body rotation. We exploit two global symmetries of the system to further analyze the few-body modes in terms of transition matrix elements and breathing mode dynamics. The exact results are compared to the usual ad-hoc inclusion of higher-order contributions in the extended Gross-Pitaevskii equation, showing a remarkable agreement between the few-body regime and the thermodynamic limit in one dimension.

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