Exploring the interplay between mass-energy equivalence, interactions and entanglement in an optical lattice clock
arxiv(2024)
摘要
We propose protocols that probe manifestations of the mass-energy equivalence
in an optical lattice clock (OLC) interrogated with spin coherent and entangled
quantum states. To tune and uniquely distinguish the mass-energy equivalence
effects (gravitational redshift and second order Doppler shift) in such
setting, we devise a dressing protocol using an additional nuclear spin state.
We then analyze the interplay between photon-mediated interactions and
gravitational redshift and show that such interplay can lead to entanglement
generation and frequency synchronization. In the regime where all atomic spins
synchronize, we show the synchronization time depends on the initial
entanglement of the state and can be used as a proxy of its metrological gain
compared to a classical state. Our work opens new possibilities for exploring
the effects of general relativity on quantum coherence and entanglement in OLC
experiments.
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