Response theory

Michael Rudolf Vogl

Ming-Bao Yu

Robin B. Stinchcombe

Fenna Müller, Urna Basu, Peter Sollich A +1 more

The authors investigate time-dependent response theory around equilibrium in a coarse-grained system and show that the second order response to arbitrary time-dependent perturbations can be found from linear response quantities

Jonathan J. Dorando, Johannes Hachmann, Garnet Kin-Lic Chan

We propose an analytic response theory for the density matrix renormalization group, whereby response properties correspond to analytic derivatives of density matrix renormalization group observables with respect to the applied perturbations. Both static and frequency-dependent response theories are formulated and implemented. We evaluate our pilot implementation by calculating static and frequency-dependent polarizabilities of short oligodiacetylenes. The analytic response theory is competitive with dynamical density matrix renormalization group methods and yields significantly improved accuracies when using a small number of density matrix renormalization group states. Strengths and weaknesses of the analytic approach are discussed.