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

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

We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in Semiclassical theory of grav ity in flat FRW universe. We used Number state evolution of oscillatory phase of inflaton for coherent squeezed number state and squeezed number states for malisms. We analyzed that density fluctuations for SNS depends upon squeezing parameter and number state while for CSNS density fluctuations depends upon squeezing parameter, number state and coherent state parameter. These param eters plays an important role for quantum consideration of SNS and CSNS. The results of the analysis shows that increase in density fluctuations for both SNS and CSNS, demonstrate quantum behavior of SCEE as well as production of various kind of particles in these states.
平坦 FRW 宇宙中挤压数态和相干挤压数态的密度波动
我们研究了半经典引力理论中相干挤压数态(CSNS)和挤压数态(SNS)形式的密度波动。我们使用了相干挤压数态和挤压数态形式的inflaton振荡相位的数态演化。我们分析了SNS的密度波动取决于挤压参数和数态,而CSNS的密度波动取决于挤压参数、数态和相干态参数。这些参数对于量子考虑 SNS 和 CSNS 起着重要作用。分析结果表明,SNS 和 CSNS 密度波动的增加证明了 SCEE 的量子行为以及在这些状态下产生的各种粒子。
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