2001/12/02 by Marek Czachor, Czachor, Marek, Monika Syty +1
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #hep-th #physics.atom-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0112011
revtex
arxiv created 2001/12/02 · arxiv updated 2009/11/30
A harmonic oscillator is an indefinite-frequency one if the parameter ω is replaced by an operator. An ensemble of N such oscillators may be regarded as a toy model of a bosonic quantum field. All the possible frequencies associated with a given problem are present already in a single oscillator and N can be finite. Due to the operator character of ω the resulting algebra of creation-annihilation operators is non-canonical. In the limit of large N one recovers perturbation theory formulas of the canonical quantum field theory but with form factors automatically built in. Vacuum energy of the ensemble is finite, a fact discussed in the context of the cosmological constant problem. Space of states is given by a vector bundle with Fock-type fibers. Interactions of the field with 2-level systems, including Rabi oscillations and spontaneous emission, are discussed in detail.