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<p>We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in the Semiclassical theory of gravity in a flat FRW universe. We used the Number state evolution of the oscillatory phase of inflation for coherent squeezed number state and squeezed number state formalisms. We analyzed that density fluctuations for SNS depend upon squeezing parameter and number state while for CSNS density fluctuations depend upon squeezing parameter, number state, and coherent state parameter. These parameters play an important role in the quantum consideration of SNS and CSNS. The results of the analysis show that an increase in density fluctuations for both SNS and CSNS demonstrates the quantum behavior of SCEE as well as the production of various kinds of particles in these states.</p>

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Density Fluctuations for Squeezed Number State and Coherent Squeezed Number State in Flat FRW Universe

  • 期刊论文

  • 发表日期：

    2025年3月24日

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  • Dhwani Gangal,
  • Sudhava Yadav,
  • K. K. Venkataratnam

摘要

We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in the Semiclassical theory of gravity in a flat FRW universe. We used the Number state evolution of the oscillatory phase of inflation for coherent squeezed number state and squeezed number state formalisms. We analyzed that density fluctuations for SNS depend upon squeezing parameter and number state while for CSNS density fluctuations depend upon squeezing parameter, number state, and coherent state parameter. These parameters play an important role in the quantum consideration of SNS and CSNS. The results of the analysis show that an increase in density fluctuations for both SNS and CSNS demonstrates the quantum behavior of SCEE as well as the production of various kinds of particles in these states.