两个引力猫态中的量子关联与基矢无关的相干分布
Quantum correlations and Basis-Independent Coherence Distribution in Two Gravitational Cat States
中文总结 AI 辅助
该研究分析了双势阱中通过引力耦合的两粒子的量子关联与基矢无关的相干性分布，发现局域相干性比集体相干性更抗热涨落，增大引力耦合可优先增强集体相干性。
中文摘要 AI 辅助
我们研究了被限制在双势阱中、通过相互牛顿引力耦合的一对大质量粒子的量子关联与基矢无关的相干性分布。非经典关联用纠缠的Bures距离和量子失谐表征，而相干性用量子Jensen-Shannon散度（QJSD）相对于最大混合态的平方根来量化，得到的度量在任意幺正变换下不变，因此是真正基矢无关的。总相干性$C_T$可分解为两个操作上不同的贡献：捕捉两个子系统间量子关联的集体相干性$C_C$，以及捕捉每个子系统固有量子相干性的局域相干性$C_L$。我们分析了温度$T$、引力耦合$\triangle$和单粒子能量尺度$w$如何调控相干性在其集体与局域分量间的再分布。结果表明，$C_L$对热涨落的鲁棒性强于$C_C$，且增大$\triangle$会通过增强引力诱导的粒子间关联，优先提升集体相干性。
英文摘要
We study the distribution of quantum correlations and basis-independent coherence in a pair of massive particles confined in a double-well potential and coupled through their mutual Newtonian gravitational interaction. Non-classical correlations are characterized using Bures distance of entanglement and quantum discord, while coherence is quantified through the square root of the quantum Jensen--Shannon divergence (QJSD) from the maximally mixed state, yielding a measure that is invariant under arbitrary unitary transformations and is therefore genuinely basis-independent. The total coherence $C_T$ decomposes into two operationally distinct contributions: the collective coherence $C_C$, which captures quantum correlations between the two subsystems, and the localized coherence $C_L$, which captures the intrinsic quantum coherence of each individual subsystem. We analyze how temperature $T$, the gravitational coupling $Δ$, and the single-particle energy scale $w$ govern the redistribution of coherence between its collective and localized components. Our results show that $C_L$ is more robust against thermal fluctuations than $C_C$, and that increasing $Δ$ preferentially enhances collective coherence by strengthening gravitationally induced inter-particle correlations.
