2015/02/03 by Mehmet Emre Taşgın, Mehmet Emre Tasgin, Tasgin, Mehmet Emre · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #FOS: Physical sciences #Molecular spectroscopy and chirality #Optics (physics.optics) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #physics.optics #quant-ph
paper · pdf · doi:10.48550/arxiv.1502.00988
9 pages, 0 figures
openalex publication_date 2015/02/03 · arxiv created 2019/11/08 · arxiv updated 2019/11/11 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
We study different representations of a many-particle system. We reveal the stunning beauty of the connections among the nonclassicalities of a many-particle, a single-mode and a two-mode systems. First, we demonstrate that (separable) atomic coherent states~(ACSs), of a many-particle system, mimic the coherent states of single-mode light. This enables the utilization of a many-particle entanglement~(MPE) criterion as a single-mode nonclassicality~(SMNc) condition via Holstein-Primakoff transformation. As an example, we show that spin-squeezing criterion, for MPE, can be transformed into the quadrature-squeezing, a nonclassicality condition for a single-mode system. Second, we demonstrate a similar connection between the two-mode separable states and separable ACSs of a many-particle system. The second connection makes us be able to obtain a single-mode nonclassicality condition from a two-mode entanglement criterion, using the many-particle system as a bridge. As an example, we obtain Mandel's Q-parameter from the two-mode entanglement criterion of Hillery&Zubairy.