Special CPM Seminar

Periodically driven Ising model

Garry Goldstein

Rutgers University

In this talk we study the periodically driven dissipative Ising model. We show that for certain types of baths the model reduces to a study of rate equations for transitions between different states of the spins. In one dimension the model turns out to be exactly solvable and is equivalent to a static one dimensional Ising model with a different coupling constant (which may be tuned from positive or negative depending on the exact form of the bath). In the limit of a large number of dimensions it is possible to solve the periodically driven Ising model within mean field. By appropriately adjusting the bath it is possible to induce a ferromagnetic state with an antiferromagnetic Hamiltonian and vice versa. It is also possible to change the critical temperature arbitrarily. Furthermore by adjusting the bath it is possible to change the phase transition from second order to first order and change the critical exponents to non mean field values in the case of a second order phase transition.