Deformed Two-Mode Quadrature Operators in Noncommutative Space
Hua Wei, Jiahua Li, Ranran Fang, Xiaotao Xie, and Xiaoxue Yang
TL;DR
This paper explores how noncommutative quantum mechanics affects two-mode quadrature operators, revealing potential links to homodyne detection and analyzing the impact of scaling parameters on squeezing.
Contribution
It introduces a novel analysis of deformed two-mode quadrature variances in noncommutative space and connects these findings to homodyne detection techniques.
Findings
Variances of deformed quadrature operators are affected by noncommutative space.
Scaling parameters influence the degree of squeezing in noncommutative quantum states.
Potential application of noncommutative effects in quantum measurement technology.
Abstract
Starting from noncommutative quantum mechanics algebra, we investigate the variances of the deformed two-mode quadrature operators under the evolution of three types of two-mode squeezed states in noncommutative space. A novel conclusion can be found and it may associate the checking of the variances in noncommutative space with homodyne detecting technology. Moreover, we analyze the influence of the scaling parameter on the degree of squeezing for the deformed level and the corresponding consequences.
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