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

Abstract

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.

arXiv comment21 pages with references

References in corpus (4)

• On-command enhancement of single molecule fluorescence using a gold nanoparticle as an optical nano-antenna
• Generation and near-field imaging of Airy surface plasmons
• Nonlinear optical spectroscopy of single, few, and many molecules; nonequilibrium Green's function QED approach
• Quantum spectroscopy of plasmonic nanostructures

Cited by in corpus (5)

• Perspective: Quantum Hamiltonians for Optical Interactions
• Gauge invariance and Ward identities in nonlinear response theory
• Diffraction-Unlimited Tip-Enhanced Sum-Frequency Vibrational Nanoscopy
• Identification of Poincare-gauge and multipolar nonrelativistic theories of QED
• Arbitrary gauge quantisation of light-matter theories with time-dependent constraints