Mathematics – Logic
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ssur.work..407g&link_type=abstract
In NASA. Goddard Space Flight Center, Third International Workshop on Squeezed States and Uncertainty Relations p 407-412 (SEE N
Mathematics
Logic
Black Body Radiation, Cosmic Rays, Cosmology, Gravitational Fields, Gravitons, Pair Production, Perturbation, Squeezed States (Quantum Theory), Stimulated Emission, Tensors, Thermodynamic Equilibrium, Anisotropy, Broken Symmetry, Mathematical Models, Quadrupoles
Scientific paper
Squeezed states are a very useful framework for the quantum treatment of tensor perturbations (i.e. gravitons production) in the early universe. In particular, the non equilibrium entropy growth in a cosmological process of pair production is completely determined by the associated squeezing parameter and is insensitive to the number of particles in the initial state. The total produced entropy may represent a significant fraction of the entropy stored today in the cosmic blackbody radiation, provided pair production originates from a change in the background metric at a curvature scale of the Planck order. Within the formalism of squeezed thermal states it is also possible to discuss the stimulated emission of gravitons from an initial thermal bath, under the action of the cosmic gravitational background field. We find that at low energy the graviton production is enhanced, if compared with spontaneous creation from the vacuum; as a consequence, the inflation scale must be lowered, in order not to exceed the observed CMB quadrupole anisotropy. This effect is important, in particular, for models based on a symmetry-breaking transition which require, as initial condition, a state of thermal equilibrium at temperatures higher than the inflation scale and in which inflation has a minimal duration.
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