Black Hole Evaporation Driven by Non-Thermal Squeezing Through SNS and CSNS Dynamics

TL;DR

This paper investigates how non-thermal quantum states, specifically SNS and CSNS, influence black hole evaporation, revealing that squeezing parameters significantly enhance Hawking temperature and entropy variations within a semiclassical framework.

Contribution

It introduces a fully number-state-resolved analysis of black hole radiation using nonclassical SNS and CSNS states, extending previous thermal models to include non-thermal quantum configurations.

Findings

Hawking temperature increases monotonically with squeezing and number parameters.

Entropy variations show nonlinear enhancement at higher squeezing values.

The study demonstrates sensitivity of Hawking emission to nonclassical quantum states.

Abstract

In this work, we present a comprehensive semiclassical analysis of black hole radiation in a spatially flat FRW Universe for two fundamental nonclassical states: the Squeezed Number State (SNS) and the Coherent Squeezed Number State (CSNS). Unlike thermally modified earlier studies, SNS and CSNS constitute fully non-thermal, number-state-dependent quantum configurations. By embedding these states within the framework of semiclassical theory of gravity, we derive state-resolved expressions for the Hawking temperature, entropy variation, and corresponding mass loss of an evaporating black hole. The influence of the squeezing parameter $\rho$ and number state parameter $n$ on Hawking emission is examined through a series of analytical results supported by twelve detailed plots. The analysis reveals that the Hawking temperature exhibits monotonic growth with increasing $\rho$ and $n$, thereby elevating the effective temperature experienced at the black hole horizon. The entropy variations $\Delta \mathbb{S}_{\mathrm{SNS}}$ and $\Delta \mathbb{S}_{\mathrm{CSNS}}$ show strong nonlinear enhancement, especially at moderate and large squeezing values. Overall, the study extends earlier thermal squeezed-state approaches to a fully number-state-resolved framework, highlighting the sensitivity of Hawking emission to nonclassical quantum configurations. These findings contribute a new perspective on gravitational particle creation in cosmological settings.