用昂鲁-德维特探测器的量子相干性探测洛伦兹不变性破缺
Probing Lorentz-invariance-violation with quantum coherence of Unruh-DeWitt detector
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中文总结 AI 辅助
研究利用与洛伦兹破缺色散关系的无质量标量场相互作用的昂鲁-德维特探测器的量子相干性来探测洛伦兹不变性破缺，应用于聚合物量子化标量场理论，发现其对快度有明显依赖及相关转变，证明量子相干性可作为LIV的有效探测手段。
中文摘要 AI 辅助
测试洛伦兹不变性破缺（LIV）非常困难，因为其在修正色散关系中的特征能量尺度$M_★$通常超出当前实验范围。为实现低能探测，我们研究了与具有洛伦兹破缺色散关系$\omega_{|\textbf{k}|}=|\textbf{k}|f(|\textbf{k}|/M_★)$的无质量标量场相互作用的惯性昂鲁-德维特（UDW）探测器的量子相干性。与洛伦兹不变情况不同，我们发现对于洛伦兹破缺量子场情况，探测器量子相干动力学强烈依赖其快度，这提供了LIV的潜在低能特征。将其应用于受圈量子引力启发的聚合物量子化标量场理论，探测器量子相干性对快度有明显依赖，在临界快度$\beta_c \approx 1.3675$附近有急剧转变，且探测器快度及其能级间距增强了对LIV测试的响应。我们的结果表明量子相干性是LIV的灵敏且实用的探测器，为测试量子引力引起的场论修正提供了补充途径。
英文摘要
Testing Lorentz invariance violation (LIV) is notoriously difficult, as its characteristic energy scale, $M_\star$, in modified dispersion relations typically lies beyond current experimental reach. To enable a low-energy probe, we investigate the quantum coherence of an inertial Unruh-DeWitt (UDW) detector interacting with a massless scalar field with a Lorentz-violating dispersion relation $ω_{|\textbf{k}|}=|\textbf{k}|f(|\textbf{k}|/M_\star)$. Unlike the Lorentz-invariant case where quantum coherence is rapidity-independent, we find for the Lorentz-violating quantum field case the dynamics of detector's quantum coherence exhibits a strong dependence on its rapidity -- offering a potential low-energy signature of LIV. Applying this to the polymer-quantized scalar field theory inspired by loop quantum gravity, we show that the detector's quantum coherence exhibits a pronounced dependence on rapidity and undergoes a sharp transition near a critical rapidity $β_c \approx 1.3675$, a value within reach of existing facilities like the Relativistic Heavy Ion Collider. We also show how the detector's rapidity and its energy-level spacing enhance the response to the test of LIV. Our results establish quantum coherence as a sensitive and practical probe of LIV, providing a complementary avenue for testing quantum gravity-induced modifications to field theory.
