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Journal Article

Quantum Bose-Bose droplets at a dimensional crossover

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Zin, P., Pylak, M., Wasak, T., Gajda, M., & Idziaszek, Z. (2018). Quantum Bose-Bose droplets at a dimensional crossover. Physical Review A, 98(5): 051603. doi:10.1103/PhysRevA.98.051603.

Cite as: https://hdl.handle.net/21.11116/0000-0002-BA90-9
We study liquid quantum droplets in a mixture of two-component Bose-Einstein condensates under variable confinement introduced along one or two spatial dimensions. Although the atom-atom scattering has a three- dimensional character, discreteness of the available modes in the reduced dimension(s) strongly influences the zero-point energy, which for a weakly interacting three-dimensional system is given by the Lee-Huang-Yang term. Here, we generalize the result of Lee, Huang, and Yang and calculate the higher order corrections to the mean-field energy for a single component Bose-Einstein condensate under condition of a tight confinement in one or two spatial directions. We apply our results to the two-component mixture of bosonic species under conditions favorable for the creation of quantum liquid droplets, which constitute a perfect playground for studies of the beyond mean-field effects. Our findings allow one to analyze the properties of quantum droplets at the dimensional crossover and provide demanding conditions for accessing quasilow dimensions. They also pave a way for experimental exploration of this state of matter in reduced dimensions.