Generalized Hydrodynamics with Space-Time Inhomogeneous Interactions
Alvise BastianelloInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, NetherlandsVincenzo AlbaInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, NetherlandsJean-Sébastien CauxInstitute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
2019en
ABI
Abstract
We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently introduced generalized hydrodynamics (GHD). The method allows us to analytically describe the dynamics during generic space-time-dependent smooth modulations of the interactions. As a proof of concept, we study experimentally motivated interaction quenches in the trapped interacting Bose gas, which cannot be treated with current analytical or numerical methods. We also benchmark our results in the XXZ spin chain and in the classical sinh-Gordon model.
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Cited by 40 references