Speaker
Description
Time evolution and transport properties of integrable quantum many-body systems has been the topic of numerous investigations. While the hydrodynamic description starting from inhomogeneous initial states has been largely understood, much less is known about the setup where the time evolution operator itself is nonuniform. We present results for a chain of noninteracting fermions in two different setups: with periodically modulated hopping amplitudes, or a chemical potential gradient with arbitrary time-dependent slope. It is demonstrated that both cases admit a hydrodynamic description, while the driven ramp even allows for a complete analytic solution on the lattice. Moreover, we also show how these results help us to understand entanglement spreading along the chain.