Title | Optomechanical Analogy for Toy Cosmology with Quantized Scale Factor |

Publication Type | Journal Article |

Year of Publication | 2017 |

Authors | Smiga, JA, Taylor, JM |

Journal | Entropy |

Volume | 19 |

Issue | 9 |

Start Page | 485 |

Date Published | 2017/09/12 |

ISSN | 1099-4300 |

Abstract | The simplest cosmologyâ€”the Friedmannâ€“Robertsonâ€“Walkerâ€“LemaÃ®tre (FRW) modelâ€” 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. |

URL | http://www.mdpi.com/1099-4300/19/9/485 |

DOI | 10.3390/e19090485 |