Robust quantization of a molecular motor motion in a stochastic environment

We explore quantization of the response of a molecular motor to periodic modulation of control parameters. We formulate the Pumping-Quantization Theorem (PQT) that identifies the conditions for robust integer quantized behavior of a periodically driven molecular machine. Implication of PQT on experiments with catenane molecules are discussed.Comment: 7 pages, 4 figures. J. Chem. Phys. Communications (in press

Non-linear non-local molecular electrodynamics with nano-optical fields

The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields vary appreciably across the molecular length scale. Rather than incrementally adding higher multipoles it is advantageous and more physically transparent to describe the optical process using non-local response functions that intrinsically include all multipoles. We present a semi-classical approach to the non-linear response functions based on the minimal coupling Hamiltonian. The first, second and third order non-local response functions are expressed in terms of correlation functions of the charge and the current densities. This approach is based on the gauge invariant current rather than the polarization, and on the vector potential rather than the electric and magnetic fields.Comment: 21 pages with reference