One of the most exciting recent discoveries in ultracold mixtures of two bosonic atomic ensembles is the experimental realization in 2018 of novel liquids featuring densities and temperatures which are eight to ten orders of magnitude smaller than water. Nonetheless, the thermodynamics of such quantum liquids remains unexplored due to large three-atom losses, which hinder their experimental study. In one spatial dimension, losses are limited thus providing enhanced stability to the system.
That greater stability is achieved even in a single-component system, where the understanding of thermodynamic properties is still an open issue in our field. The solution to such a central problem is of paramount importance to shed light also on the properties of ultradilute liquids. A system of bosons moving along one dimension looks deceivingly simple, but it is actually an extremely sophisticated system due to the intricate interplay of thermal motion, collisions, and quantum statistics. Importantly, this problem is not a merely academic one since these systems have been experimentally realized since 2004 with ultracold gases.
A problem that remained open until now was the understanding of the microscopic mechanisms ruling the thermodynamic behavior of these extremely quantum systems. In addition, thermodynamic quantities already showed an anomaly in their temperature dependence, resembling the presence of a phase transition. However, a peculiarity of one-dimensional geometry is that phase transitions cannot occur, making the issue extremely puzzling. Finally, the complete in-depth understanding of microscopic correlation properties was still missing.
In this project, we have investigated the thermal properties of ultracold bosonic gases and liquids in a one-spatial dimension. Besides the solution of the challenging problems listed above, we have discovered radically new quantum regimes and phenomena and proposed how they can be explored in cutting-edge experiments.
Ultracold gases and liquids allow for far-reaching investigations of quantum many-body effects and high-resolution measurements inconceivable so far. These promise innovative applications in quantum metrology and sensing. Finally, the understanding of thermal properties, enhanced by the quantum simulation of very different systems ensured by ultracold ensembles, is relevant for the development of future quantum technologies, innovative materials, high-critical-temperature superconductors, and quantum computers.