论文标题

量子和量子古典系统中的动力和纠缠:重力的教训

Dynamics and entanglement in quantum and quantum-classical systems: lessons for gravity

论文作者

Husain, Viqar, Javed, Irfan, Singh, Suprit

论文摘要

由量子重力,半古典理论和曲线空间的量子理论激励,我们研究了与两个旋转1/2颗粒耦合的振荡器系统。该模型提供了一个原型,用于比较三种类型的动力学:完整的量子理论,具有自旋反应的经典振荡器,并在固定振荡器背景上旋转。从振荡器和纠缠熵动力学的非扰动计算中,我们发现纠缠三方状态产生了新型振荡器轨迹,并且这三个系统为足够弱振荡器旋转耦合提供了等效的动力学,但是对于中间耦合而言,振动型旋转型偶联的足够弱振荡器。这些结果表明,具有背部反应的半经典动力学不能在弯曲时空之间提供量子重力和量子理论之间的合适中间状态。

Motivated by quantum gravity, semi-classical theory, and quantum theory on curved spacetimes, we study the system of an oscillator coupled to two spin-1/2 particles. This model provides a prototype for comparing three types of dynamics: the full quantum theory, the classical oscillator with spin backreaction, and spins propagating on a fixed oscillator background. From nonperturbative calculations of oscillator and entanglement entropy dynamics, we find that entangled tripartite states produce novel oscillator trajectories, and that the three systems give equivalent dynamics for sufficiently weak oscillator-spin couplings, but deviate significantly for intermediate couplings. These results suggest that semiclassical dynamics with back reaction does not provide a suitable intermediate regime between quantum gravity and quantum theory on curved spacetime.

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