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We develop a dielectric matrix and analyze plasmon dispersion in stronglycoupled charged-particle bilayers in the quantum domain. The formulation isbased on the classical quasi-localized charge approximation (QLCA) and extendsthe QLCA formalism into the quantum domain. Its development, which parallelsthat of 2D companion paper [Phys. Rev. E 70, 026406 (2004)] by three of theauthors, generalizes the single-layer scalar formalism therein to a bilayermatrix formalism. Using pair correlation function data generated from diffusionMonte Carlo simulations, we calculate the dispersion of the in-phase andout-of-phase plasmon modes over a wide range of in-layer coupling values andlayer spacings. The out-of-phase spectrum exhibits an exchange-correlationinduced long-wavelength energy gap in contrast to earlier predictions ofacoustic dispersion softened by exchange-correlations. The energy gap issimilar to what has been previously predicted for classical charged-particlebilayers and subsequently confirmed by recent molecular dynamics computersimulations.Comment: 53 pages including 15 Figures with their captions. Submitted to  Physical Review

Dielectric matrix and plasmon dispersion in strongly coupled electronic bilayer liquids