Controllable dissipative quantum droplets in one-dimensional optical lattices

We investigate the dynamics of dissipative quantum droplets (QDs) forming in one-dimensional binary Bose gases subjected to three-body recombination loss and linear gain in perturbed optical lattices. We demonstrate by a perturbation procedure that an alimentation of atoms from an external feeding source to the QDs may lead to the formation of dynamically-stabilized dissipation-controlled QDs. It is worth noting that such dissipation-controlled QDs are independent of the initial condensation norm and are solely determined by the gain and loss parameters. We further study the dynamics of the dissipation controlled QDs with varying norm due to the gain and loss mechanisms in relatively weak optical lattices. It is found that the stationary dissipative QDs can be accelerated and either continuously travel across the potential barriers or eventually perform trapped oscillations in different lattice sites by selecting the appropriate gain and loss parameters. Finally, we deal with the collision between the dissipative QDs. It is revealed that two slowly moving dissipative QDs with varying norm may merge or collide quasi-elastically depending on their initial separation, which is quite different from QDs in the conservative systems. Specially, we explore the collision dynamics of the dissipative QDs in a single lattice site provided that the spatial period of optical lattices is large enough. The in-phase interaction between the dissipative QDs tends to merge, while the out-of-phase interaction displays quasi-elastic collision. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This study investigates the dynamics of dissipative quantum droplets in one-dimensional binary Bose gases under perturbed optical lattices, and demonstrates the formation of dynamically-stabilized dissipation-controlled QDs with the introduction of atoms from an external source. The dissipation-controlled QDs are found to be independent of initial condensation norm and are solely determined by gain and loss parameters; they can exhibit different motion behaviors in optical lattices depending on the gain and loss parameters selected. Additionally, the collision behavior of dissipative QDs is explored, showing that they may merge or collide quasi-elastically depending on their initial separation, which differs from QDs in conservative systems.