Figure 2
From: Droplet to soliton crossover at negative temperature in presence of bi-periodic optical lattices

Condensate density patterns and corresponding BOL trap with \(M = 0\) and \(\beta \ne 0\): (a) \(\beta = 0\) (free space); (b) \(\beta = -0.25\), (c) \(\beta = -0.5\), (d) \(\beta = -0.75 0\), (e) \(\beta = -0.99\), and (f) \(\beta = -1.25\). Each plot of (a–f) has two panels: the upper panel shows the density plot, and the lower panel indicates the corresponding trap profile. (g) The figure depicts the estimate of temperature (\(J K_{B}^{-1}\)) with respect to the potential depth of BOL (\(\beta\)) and illustrates positive to negative temperature transition. (h) The profile of EMF and BMF is plotted by changing \(\beta\) for \(z=0\). Here, the magnitude of physical parameters: \(\gamma _{0}=1\), \(k=0.84\), \(G_{1}=-1\), \(G_{2}=0.999999\), \(E=-2/9\). The spatial coordinate is scaled by the oscillator length. Figures are plotted using MATLAB R2020b (Master License 31349846) and Mathematica version 1.5.1.2021061827, Wolfram Research, Inc.