Mandel's Q parameter for squeezed number and coherent squeezed number inflaton states in a flat FRW universe is found to be positive, which the paper interprets as super-Poissonian nonclassical behavior.
Particle Production and Density Fluctuations of Non-classical Inflaton in Coherent Squeezed Vacuum State of Flat FRW Universe
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abstract
We study non-classical inflaton, which is minimally coupled to the semiclassical gravity in FRW universe in Coherent Squeezed Vacuum State (CSVS). We determined Oscillatory phase of inflaton, power-law expansion, scale factor, density fluctuations, quantum fluctuations and particle production for CSVS. We obtained an estimated leading solution of scale factor in CSVS proportional to $t^{2/3}$ follow similar diversification as demonstrated by Semiclassical Einstein Equation (SCEE) of gravity in matter dominated universe. We also studied the validity of SCEE in CSVS. By determining the quantum fluctuation for CSVS validity of uncertainty relation for FRW Universe also computed. The results shows that Quantum fluctuations doesn't depend on coherent parameter $\Upsilon$ as uncertainty relation doesn't effected by the displacement of $\Upsilon$ in phase space. We study the production of particles in CSVS for oscillating massive inflaton in flat FRW universe.
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Investigation of Super-Poissonian Nonclassical Nature of Inflaton Field in Flat FRW Universe through Cosmological Mandels $Q$ Parameter
Mandel's Q parameter for squeezed number and coherent squeezed number inflaton states in a flat FRW universe is found to be positive, which the paper interprets as super-Poissonian nonclassical behavior.