Generalized hydrodynamics in strongly interacting 1D Bose gases (II)

The dynamics of strongly interacting many-body quantum systems are notoriously complex and difficult to simulate. A new theory, generalized hydrodynamics (GHD), promises to efficiently accomplish such simulations for nearly-integrable systems. We test GHD with bundles of ultracold one-dimensional (1D) Bose gases by performing large trap quenches in both the strong and intermediate coupling regimes [1]. We find that theory and experiment agree well over dozens of trap oscillations, for average dimensionless coupling strengths that range from 0.3 to 9.3. The accuracy of GHD demonstrated here shows its wide applicability to the simulation of dynamics in nearly-integrable quantum systems. In this second talk on our results [1], we discuss the theoretical calculations behind the theory-experiment comparison. In particular, we explain how we model the initial state created experimentally and its dynamics within the GHD approach. We also present a comparison between GHD and exact numerical results in the Tonks-Girardeau limit that supports our use of GHD to study dynamics when the number of atoms per 1D gas is ~10 (the case in one of our experimental trap quenches).
Reference:
[1] N. Malvania, Y. Zhang, Y. Le, J. Dubail, M. Rigol, and D. S. Weiss, arXiv:2009.06651.