Quantum theory of optical temporal phase and instantaneous frequency

dc.creatorTsang, Mankei
dc.creatorShapiro, Jeffrey H.
dc.creatorLloyd, Seth
dc.date2008-04-03
dc.date2008-11-18
dc.date.accessioned2026-07-07T10:18:32Z
dc.date.available2026-07-07T10:18:32Z
dc.descriptionWe 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-Pérot 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.
dc.description16 pages, v3: rewritten and extended, v4: some minor mistakes corrected, accepted by Physical Review A
dc.identifierhttps://arxiv.org/abs/0804.0463
dc.identifierhttp://arxiv.org/abs/0804.0463
dc.identifierPhysical Review A 78, 053820 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.053820
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174217
dc.subjectQuantum Physics
dc.titleQuantum theory of optical temporal phase and instantaneous frequency
dc.typetext

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