Description and purpose
The project explores experimentally and theoretically the phase diagram of Bose-Bose quantum mixtures, which is an ideal platform to investigate some paradigmatic quantum phase transitions, namely the gas-to-liquid, and the miscible-immiscible transitions. The presence of two components naturally allows us to investigate the role of both “spin” and “density” degrees of freedom in determining the static and dynamical properties of the system.
Website: https://www.ino.cnr.it/?p=24684
Purpose
QUANTAMI aims at overcoming the current experimental limitations and at complete characterization of the droplet state. We plan to investigate the miscible and immiscible phases at finite temperature, for which recent theoretical works predict the emergence of a first-order transition. We explore how many-body quantum effects modify the miscibility condition in reduced dimensionality. Further, we study the non-equilibrium dynamics, induced by an interaction quench through the phase transition.
Expected results
- Quantum droplet formation and characterization in the experiment
- Quench of interactions to study non-equilibrium dynamics of weakly interacting regime
- Time-dependent GPE and effective state-equation numerical simulations to be compared with the experiment
- exploring the role of quantum fluctuations, dimensionality and temperature
Achieved results
UNIPR has developed numerical simulation using the Truncated Wigner Approximation to study the evolution of quantum correlations in 1D and 2D gases of single or more species. UNIPD has produced a lot of numerical data based on the effective equation of state method in comparison with experimental data on droplet formation in the experiment in Florence. Quasi-analytical methods have also been developed to describe the many-body steady state of condensates in non-standard geometries.