parameter estimation for an expanding universe

Clicks: 167
ID: 167862
2015
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Abstract
We study the parameter estimation for excitations of Dirac fields in the expanding Robertson–Walker universe. We employ quantum metrology techniques to demonstrate the possibility for high precision estimation for the volume rate of the expanding universe. We show that the optimal precision of the estimation depends sensitively on the dimensionless mass m˜ and dimensionless momentum k˜ of the Dirac particles. The optimal precision for the ratio estimation peaks at some finite dimensionless mass m˜ and momentum k˜. We find that the precision of the estimation can be improved by choosing the probe state as an eigenvector of the hamiltonian. This occurs because the largest quantum Fisher information is obtained by performing projective measurements implemented by the projectors onto the eigenvectors of specific probe states.
Reference Key
wang2015nuclearparameter Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jieci Wang;Zehua Tian;Jiliang Jing;Heng Fan
Journal biology and fertility of soils
Year 2015
DOI
DOI not found
URL
http://www.sciencedirect.com/science/article/pii/S0550321315000322
Keywords
radioactivity atomic energy nuclear and particle physics

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