A spin pump characterized by entanglement Chern numbers

We study a spin pump on a two-leg ladder chain of the Rice--Mele model. To characterize the spin pump, we propose the Chern number for the many-body ground state of the entanglement Hamiltonian, which is referred to as the entanglement Chern number. We show that this model has two phases distinguished by the entanglement Chern numbers. These two phases can be experimentally verified in cold atoms.