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.
Pavlik,Inside the Jaynes–Cummings sum,Physica Scripta99, 015113 (2023)
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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.