Universal subdiffusion in strongly tilted many-body systems

Understand

The quantum dynamics away from equilibrium is of fundamental interest for interacting many-body systems.

• In this letter, we study tilted many-body systems using the effective Hamiltonian derived from the microscopic description.
• We first give general arguments for the density relaxation rate satisfying $1/\tau\propto k^4$ for a large class of systems, including the Fermi Hubbard model case as observed in the the recent experiment [1].
• Here $k$ is the wave vector of the density wave.