Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by ~10^14, excluding thermal decoherence states and restricting amplitude-basis model
The Coherent State Representation of Quantum Fluctuations in the Early Universe
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abstract
Using the squeezed state formalism the coherent state representation of quantum fluctuations in an expanding universe is derived. It is shown that this provides a useful alternative to the Wigner function as a phase space representation of quantum fluctuations. The quantum to classical transition of fluctuations is naturally implemented by decohering the density matrix in this representation. The entropy of the decohered vacua is derived. It is shown that the decoherence process breaks the physical equivalence between vacua that differ by a coordinate dependent phase generated by a surface term in the Lagrangian. In particular, scale invariant power spectra are only obtained for a special choice of surface term.
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gr-qc 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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A Landscape of Cosmological Decoherence
Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by ~10^14, excluding thermal decoherence states and restricting amplitude-basis model