Quantum noise in the mapping of the phase space

D. Kuznetsov, D. Rohrlich

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Quadrature components of a single-mode field are interpreted as coordinates of the phase space. It is assumed that a quantum amplifier transforms the state of a single mode and the initial state of the field in this mode is a coherent squeezed one. The transfer function relating the average values of the field in the initial and final states determines mapping of the phase state. In the case of amplification, the field uncertainty in the final state is usually greater than in the initial state. This increase is interpreted as quantum noise of the amplifier. The lower bounds of this noise are estimated in terms of the derivatives of the transfer function. A degenerate parametric amplifier with pumping depletion is considered to be an illustration. Transformation of an initially orthogonal rectangular net in the phase space and deformation of the body of uncertainty given by the Wigner function are constructed for such an amplifier.

Original languageEnglish
Pages (from-to)909-913
Number of pages5
JournalOptics and Spectroscopy (English translation of Optika i Spektroskopiya)
Issue number6
StatePublished - 1 Dec 1997
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics


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