Optomechanical Analogy for Toy Cosmology with Quantized Scale Factor
AbstractThe simplest cosmology—the Friedmann–Robertson–Walker–Lemaître (FRW) model— describes a spatially homogeneous and isotropic universe where the scale factor is the only dynamical parameter. Here we consider how quantized electromagnetic fields become entangled with the scale factor in a toy version of the FRW model. A system consisting of a photon, source, and detector is described in such a universe, and we find that the detection of a redshifted photon by the detector system constrains possible scale factor superpositions. Thus, measuring the redshift of the photon is equivalent to a weak measurement of the underlying cosmology. We also consider a potential optomechanical analogy system that would enable experimental exploration of these concepts. The analogy focuses on the effects of photon redshift measurement as a quantum back-action on metric variables, where the position of a movable mirror plays the role of the scale factor. By working in the rotating frame, an effective Hubble equation can be simulated with a simple free moving mirror. View Full-Text
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Smiga, J.A.; Taylor, J.M. Optomechanical Analogy for Toy Cosmology with Quantized Scale Factor. Entropy 2017, 19, 485.
Smiga JA, Taylor JM. Optomechanical Analogy for Toy Cosmology with Quantized Scale Factor. Entropy. 2017; 19(9):485.Chicago/Turabian Style
Smiga, Joseph A.; Taylor, Jacob M. 2017. "Optomechanical Analogy for Toy Cosmology with Quantized Scale Factor." Entropy 19, no. 9: 485.
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