Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5):056211. doi: 10.1103/PhysRevE.86.056211. Epub 2012 Nov 20.

Feshbach projection formalism for transmission through a time-periodic potential.

Physical review. E, Statistical, nonlinear, and soft matter physics

Almas F Sadreev

PMID: 23214861 DOI: 10.1103/PhysRevE.86.056211

Abstract

The Feshbach projection formalism is applied to consider quantum transmission through a tight-binding wire subject to a time-periodic potential. The wire is coupled with two leads via the coupling constant v{C}. The periodicity of the potential implies an additional temporal dimension that reduces the problem to stationary transmission through an effectively two-dimensional lattice system. The non-Hermitian effective Hamiltonian is formulated. This allows us to trace the redistribution of resonance positions and resonance widths with the growth of v{C} from the weak-coupling to the strong-coupling regime.

MeSH terms

• Computer Simulation
• Electromagnetic Fields
• Electron Transport*
• Models, Chemical*
• Models, Statistical*
• Quantum Dots*

Publication Types

• Journal Article