The QFI for sensing coherent field amplitude with an atom is bounded by 4 (approached only in vacuum), reaches 1.47 for large amplitudes at specific times, scales linearly with multi-mode interactions due to back-action, and has a finite optimal rate in the continuous weak-source limit.
(D4) are given by ∞X n=0 P(n|α)Γ ij(n)eiSk(n) ≈ P∞ ν=0 I0,ν k= 0,1P∞ ν=0 I0,ν(−1)ν k= 2P∞ ν=0 I3,ν k= 3 ,(D24) with all the terms given in Eqs
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Quantum sensing of a quantum field
The QFI for sensing coherent field amplitude with an atom is bounded by 4 (approached only in vacuum), reaches 1.47 for large amplitudes at specific times, scales linearly with multi-mode interactions due to back-action, and has a finite optimal rate in the continuous weak-source limit.