标题： 对“广义压缩态的性质和动力学”的评论 显示英文标题

标题： Comment on "Properties and dynamics of generalized squeezed states"

摘要： 最近的一篇文章[ S. Ashhab 和 M. Ayyash, New J. Phys. 27, 054104 (2025) ]报告了当压缩参数增加时，高阶广义压缩态中出现了意外的振荡动力学。这种行为通过使用截断的玻色湮灭和产生算符进行数值模拟观察到，在这些态的多个特性中出现，包括它们的平均光子数。作者认为这些振荡反映了真实的物理效应。然而，我们在这里证明，观察到的振荡行为是数值伪影的结果。数值分析表明，振荡对福克基的截断非常敏感，表明缺乏收敛性。这进一步得到了平均光子数泰勒级数的理论分析的支持，表明这些广义压缩态在压缩参数达到有限值后包含无限能量。最后，我们提供了一个解析证明，表明任何广义压缩态的平均光子数是一个非递减函数，从而排除了内在振荡动力学的可能性。我们希望这些结果有助于澄清所报告振荡的起源，并强调处理高阶压缩态时所需的特别注意。 显示英文摘要

摘要： A recent article [S. Ashhab and M. Ayyash, New J. Phys. 27, 054104 (2025)] has reported unexpected oscillatory dynamics in generalized squeezed states of order higher than two as their squeezing parameter increases. This behaviour, observed through numerical simulations using truncated bosonic annihilation and creation operators, appeared in several properties of these states, including their average photon number. The authors argued that these oscillations reflect a genuine physical effect. Here, however, we demonstrate that the observed oscillatory behaviour is a consequence of numerical artefacts. A numerical analysis reveals that the oscillations are highly sensitive to the truncation of the Fock basis, indicating a lack of convergence. This is further supported by a theoretical analysis of the Taylor series of the average photon number, suggesting that these generalized squeezed states contain infinite energy after a finite value of the squeezing parameter. Finally, we provide an analytical proof that the average photon number of any generalized squeezed state is a non-decreasing function, thereby ruling out the possibility of intrinsic oscillatory dynamics. We hope these results help clarify the origin of the reported oscillations and highlight the special care required when dealing with high-order squeezing states.