Bound states stabilization and generalized hydrodynamics in a one-dimensional attractive Bose gas

Ultracold quantum gases provide a versatile platform for 
exploring strong interactions and non-equilibrium phases that have no 
equilibrium counterparts. These phenomena often surpass the 
computational reach of traditional numerical methods, necessitating 
innovative approaches.

In this talk, I will discuss the experimental realization of the 
attractive one-dimensional Bose gas in highly non-equilibrium states, 
stabilized by approximate integrability. I will also introduce the 
theoretical framework of generalized hydrodynamics, a powerful tool for 
nearly-integrable systems that enables precise quantitative descriptions 
of these exotic phases.

Ref Exp. [to appear]: M. Horvath,  A. Bastianello, S. Dhar, R. Koch, 
Y.Guo,  J.S. Caux, M. Landini, and H.-C. Nägerl.
Ref Th.: R. Koch, A. Bastianello, J.-S. Caux, Phys. Rev. B 103, 165121 
(2021).