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Cluster-expansion representation in quantum optics

2008/08/11 by M. Kira, S. W. Koch · 4 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · doi:10.1103/physreva.78.022102

openalex publication_date 2008/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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 Schr"odinger 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.

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