Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution

Abstract

We investigate the number probability density function that characterizes sub-portions of a quantum many-body system with globally conserved number of particles. We put forward a linear fitting protocol capable of mapping out the ground-state phase diagram of the rich one-dimensional extended Bose-Hubbard model: The results are quantitatively comparable with more sophisticated traditional and machine learning techniques. We argue that the studied quantity should be considered among the most informative bipartite properties, being moreover readily accessible in atomic gases experiments.

Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence

“…In the future, the experimental approach we use is readily extendable to probe the many-body coherence in a large variety of interacting quantum states and phase transitions realized on cold-atom platforms (e.g. [9][10][11]48]). It relies on (i) a free-fall expansion from the trap and (ii) a single-atom-resolved detection method.…”