(a) The discrepancy ⟨ ˆ Tc⟩ (orange) and the standard deviation σ coh,i (blue) for an ideal clock. The discrepancy is detectable when the orange surface is above the blue surface. (b) The difference between the discrepancy and the standard deviation δ = ⟨ ˆ Tc⟩ − σ coh,i for an ideal clock. The discrepancy is detectable when δ is positive. The parameters are the same as the optical lattice clock in the main text, i.e. λMg = 468 nm, Umax,Mg = 150Er,Mg, T = 1 s, ϕ = π, θ = π 2 and d = 10 nm .

Source publication

FIG. 1. The energy diagram of the desired atom in our general protocol....

FIG. 3. The energy diagram of the 24 Mg atom. Each state is labeled by...

FIG. 4. The discrepancy ∆ 1,coh between the quantum superposition case...

FIG. 5. (a) The discrepancy ∆ 1,coh and (b) the increase in variance ∆...

FIG. 6. (a) The discrepancy ⟨ ˆ Tc⟩ (orange) and the standard deviation...

On the feasibility of detecting quantum delocalization effects on gravitational redshift in optical clocks

Preprint

Full-text available

Jul 2023

We derive the predicted time dilation of delocalized atomic clocks in an optical lattice setup in the presence of a gravitational field to leading order in quantum relativistic corrections. We investigate exotic quantum states of motion whose gravitational time dilation is outside of the realm of classical general relativity, finding a regime where...