Adiabatic number operators and vacua for coupled bosonic systems are constructed order by order from a linear recursion for complex structures, generalizing WKB and Lewis-Riesenfeld invariant methods beyond a single mode.
Novel quantum initial conditions for inflation
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abstract
We present a novel approach for setting initial conditions on the mode functions of the Mukhanov Sazaki equation. These conditions are motivated by minimisation of the renormalised stress-energy tensor, and are valid for setting a vacuum state even in a context where the spacetime is changing rapidly. Moreover, these alternative conditions are potentially observationally distinguishable. We apply this to the kinetically dominated universe, and compare with the more traditional approach.
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Adiabatic vacua from linear complex structures
Adiabatic number operators and vacua for coupled bosonic systems are constructed order by order from a linear recursion for complex structures, generalizing WKB and Lewis-Riesenfeld invariant methods beyond a single mode.