Demon driven by geometric phase

We theoretically study the entropy production and the work extracted from a system connected to two reservoirs by periodic modulations of the electrochemical potentials of the reservoirs and the parameter of a system Hamiltonian under isothermal conditions. We find that the modulation of the parameters can drive a geometric state, which is away from a nonequilibrium steady state. Using this property, we construct a demon in which the entropy production during the first one-cycle is negative such that we can extract the work if we start from the nonequilibrium steady state without parameter modulations. We use the Anderson model to implement the demon in a realistic situation.