Derives an effective relativistic QFT on a dispersive cosmological spacetime from a BEC with time-dependent scattering length, showing trans-Planckian damping that violates scale invariance in analog expanding universes but converges to a new UV plateau.
The Bogoliubov coefficients can be parametrized as uk = cosh χk, v k = sinh χk, (A12) 18 with coth(2χk) = −1 − k2ξ2, (A13) where ℏ2 2mξ2 = λn0 = mc2 s
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Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
Derives an effective relativistic QFT on a dispersive cosmological spacetime from a BEC with time-dependent scattering length, showing trans-Planckian damping that violates scale invariance in analog expanding universes but converges to a new UV plateau.