量子引力子-声子转换中的间歇性
Intermittency in Quantum Graviton-Phonon Conversion
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中文总结 AI 辅助
研究量子引力子-声子转换中的间歇性，通过在旋转波近似下精确求解量子动力学，发现初始相干态转换间歇性发生，初始压缩态偏离微扰行为更早且转换后被强烈抑制，为单引力子探测相关动力学提供特征。
中文摘要 AI 辅助
在共振棒探测器中，引力子可转换为声子。一阶微扰理论预测，对于相干和压缩引力子态，这种转换会显著增强，但当相干或压缩参数较大时，概率可能超过1。由于转换概率必须满足幺正性限制，我们在旋转波近似下精确求解引力子-声子量子动力学。对于初始相干态，转换通过由强抑制间隔隔开的窄脉冲间歇性发生。对于初始压缩态，偏离微扰行为更早出现，且在初始增长后转换被强烈抑制。这些效应可能为与单引力子探测相关的量子引力子-声子动力学提供特征。
英文摘要
A graviton can be converted into a phonon in a resonant bar detector. First-order perturbation theory predicts a strong enhancement of this conversion for coherent and squeezed graviton states, but the probability can exceed unity when the coherent or squeezing parameter is large. Since a conversion probability must satisfy the unitarity bound, we solve the graviton-phonon quantum dynamics exactly within the rotating-wave approximation. For an initial coherent state, we find that the conversion occurs intermittently through narrow bursts separated by intervals of strong suppression. For an initial squeezed state, the departure from perturbative behavior occurs earlier, and the conversion is strongly suppressed after its initial growth. These effects may provide signatures of quantum graviton-phonon dynamics relevant to single-graviton detection.
