Quantum theory of optical temporal phase and instantaneous frequency

Details Quantum theory of optical temporal phase and instantaneous frequency Quantum theory of optical temporal phase and instantaneous frequency

2008-04-03

arxiv.org/abs/0804.0463v4

Physical Review A 78, 053820 (2008)

Physics

Quantum Physics

16 pages, v3: rewritten and extended, v4: some minor mistakes corrected, accepted by Physical Review A

Scientific paper

10.1103/PhysRevA.78.053820

We propose a general quantum theory of optical phase and instantaneous frequency in the time domain for slowly varying optical signals. Guided by classical estimation theory, we design homodyne phase-locked loops that enable quantum-limited measurements of temporal phase and instantaneous frequency. Standard and Heisenberg quantum limits to such measurements are then derived. For optical sensing applications, we propose multipass and Fabry-P\'erot position and velocity sensors that take advantage of the signal-to-noise-ratio enhancement effect of wideband angle modulation without requiring nonclassical light. We also generalize our theory to three spatial dimensions for nonrelativistic bosons and define an Hermitian fluid velocity operator, which provides a theoretical underpinning to the current-algebra approach of quantum hydrodynamics.

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