Random proximity measurements on quantum fluids and the hidden organization they induce

Proximity measurements probe whether pairs of particles are close to one another, regardless of the absolute spatial location of the pair. We discuss the consequences of making random sequences of post-selected proximity measurements on initially fluid systems composed of many distinguishable quantum particles. We explain how such measurements lead to an unusual kind of organization among the particles, characterized by the mutual random localization of the particles by one another. We describe the characteristic features of this organization, and touch upon how it can be determined by means of a replica field theory [1].