Cluster-expansion representation in quantum optics

M. Kira, S. W. Koch

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


A theoretical framework is developed that combines the systematic many-body cluster-expansion approach with the standard quantum-optical representations. A cluster-expansion transformation is derived to obtain a flexible one-to-one mapping between correlated clusters and the usual phase-space and marginal distributions discussed in quantum optics. The convergence and correlation properties of this transformation are explored through several quantum-field examples including coherent, thermal, squeezed, Fock, and Schrödinger cat states. The resulting correlation properties can be used as a basis to characterize and control many-body correlations when quantum light interacts with matter. As an application, a cluster-expansion-restoration scheme is developed that allows for the retrieval of the true quantum statistics of light from realistic measurements that are deteriorated by the reduced quantum efficiency of the detectors.

Original languageEnglish (US)
Article number022102
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - Aug 11 2008
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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