Extended Data Fig. 3: Numerical evaluation of the density of states.
From: Quantum gas magnifier for sub-lattice-resolved imaging of 3D quantum systems
a, Number of states N(E) up to energy E for a triangular lattice of tubes with tight external confinement: the analytical approximation of equation (8) (black curve) reproduces the numerical diagonalization of the system (red points). The crossover between α = 2 and α = 3 in the relevant energy range can be seen in the slope change in the log–log plot. b, Theoretical values of f0 for the experimentally accessed parameters computed using the analytical approximation (symbols). The orange curve is a fit of the form \({f}_{0}=1-{(T/{T}_{{\rm{c}}}^{0})}^{\alpha }\) as explained in the main text.
