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Single-mode nonclassicality criteria via Holstein-Primakoff transformation

Tasgin, Mehmet Emre


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  "@context": "https://schema.org/", 
  "@id": 5441, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Hacettepe Univ, Inst Nucl Sci, TR-06800 Ankara, Turkey", 
      "name": "Tasgin, Mehmet Emre"
    }
  ], 
  "datePublished": "2020-01-01", 
  "description": "We study different representations of a many-particle system. We reveal the connections among the nonclassicalities of many-particle, single-mode and two-mode systems in the infinite particle number limit. First, we demonstrate that (separable) atomic coherent states, of a many-particle system, mimic the coherent states of single-mode light as the number of particles goes to infinity. This enables the utilization of a many-particle entanglement (MPE) criterion as a single-mode nonclassicality (SMNc) condition via Holstein-Primakoff transformation in this limit. As an example, we show that spin-squeezing criterion, for MPE, can be transformed into quadrature-squeezing, a nonclassicality condition for a single-mode system. Second, we demonstrate a similar connection between the two-mode separable states and separable atomic coherent states of a many-particle system for the infinite particle number limit. The second connection makes us be able to obtain an SMNc condition from a two-mode entanglement (TME) criterion, using the many-particle system as a bridge. As an example, we obtain Mandel's Q-parameter from the TME criterion of Hillery and Zubairy.", 
  "headline": "Single-mode nonclassicality criteria via Holstein-Primakoff transformation", 
  "identifier": 5441, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Single-mode nonclassicality criteria via Holstein-Primakoff transformation", 
  "url": "https://aperta.ulakbim.gov.tr/record/5441"
}
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