Quantum self-bound droplets in Bose-Bose mixtures: Effects of higher-order quantum and thermal fluctuations

Abstract

We systematically study the effects of higher-order quantum and thermal fluctuations on the stabilization of self-bound droplets in Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. We calculate the ground-state energy, the droplet equilibrium density, the depletion and anomalous density of the droplets as well as the critical temperature as a function of the relevant parameters. Our findings are compared with previous analytical predictions and diffusion Monte Carlo simulations. We employ our theory together with the local density approximation for quantum and thermal fluctuations to obtain an extended finite-temperature Gross-Pitaevskii equation. The density profiles and breathing modes of the droplet are deeply examined in terms of the interaction strength and the temperature by numerically solving the developed generalized Gross-Pitaevskii equation.

8 pages, 7 figures

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• One-dimensional asymmetrically interacting quantum droplets in Bose-Bose mixtures
• Phase-controlled elastic, inelastic, and coalescent collisions of two-dimensional flat-top solitons
• Nonuniversal equation of state for Rabi-coupled bosonic gases: a droplet phase
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
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• Modeling dark matter as self-bound quantum liquid droplets
• Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture