Mesoscopic capacitor and zero-point energy: Poisson's distribution for virtual charges, pressure, and decoherence control

Abstract

Mesoscopic capacitor theory, which includes intrinsic inductive effects from quantum tunneling, is applied to conducting spherical shells. The zero-point pressure and the number of virtual charged pairs are determined assuming a Poisson distribution. They are completely defined by a dimensionless mesoscopic parameter (χc) measuring the average number of virtual pairs per solid angle and carrying mesoscopic information. Fluctuations remain finite and well defined. Connections with usual quantum-fieldtheory limit enables us to evaluate χc ∼ 1.007110. Equivalently, for a mesoscopic parallelplate capacitor, the shot noise distribution becomes operative with χc ∼ 0.94705 as well being related to the density of virtual pairs. Temperature decoherence and capacitor control are discussed by considering typical values of quantum dot devices and Coulomb blockade theory.

Dimensional ensemble and (topological) fracton thermodynamics: the slow route to equilibrium

“…In consequence, zero-point energy reduces in line with temperature. On the other hand, Casmir’s forces are deeply related to the zero-point energy 26–28 , including realizations in mesoscopic systems 29–31 . Consequently, at sufficiently low temperatures, a summation like can be eventually non-divergent.…”