Gravitational Wave Spectrum in Inflation with Nonclassical States

Abstract

The initial quantum state during inflation may evolve to a highly squeezed quantum state due to the amplification of the time-dependent parameter, ${\omega }_{phys}(k/a)$, which may be the modified dispersion relation in trans-Planckian physics. This squeezed quantum state is a nonclassical state that has no counterpart in the classical theory. We have considered the nonclassical states such as squeezed, squeezed coherent, and squeezed thermal states, and calculated the power spectrum of the gravitational wave perturbation when the mode leaves the horizon.

arXiv comment21 pages

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• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Gravitational waves from the vacuum decay with LISA
• Cosmological consequences of statistical inhomogeneity
• HBT Interferometry and Quantum Nature of Primordial Gravitational Waves in Hořava-Lifshitz Gravity
• Slow roll inflation and BB mode angular power spectrum of CMB