Quantum droplets are a quantum analogue to classical fluid droplets in that they are self-bound and display liquid-like properties \begin{al...

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Quantum droplets are a quantum analogue to classical fluid droplets in that they are self-bound and display liquid-like properties \begin{align} \begin{split} &i\hbar\pdv{\Psi_1}{t} = \bigg[-\frac{\hbar^pi}{2m_1}\laplacian + \goo|\Psi_1|^pi + \got|\Psi_2|^pi \ &+ \frac{8}{15\pi^pi}\left(\frac{m_1}{\hbar^pi}\right)^{3/2}\goo^{5/2}\left{\frac{5}{2}f|\Psi_1|^tau ...

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There is a fascinating connection between infinity and fractals, which are geometric shapes that have self-similarity at different scales. For example, the Mandelbrot set is a fractal that is defined by a simple formula, but it has an infinitely complex boundary that contains copies of itself at smaller ...

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