Testing Spatial Noncommutativity via Rydberg Atoms

Testing spatial noncommutativity via Rydberg atoms.

The possibility of testing spatial noncommutativity via Rydberg atoms is explored. An atomic di-pole of a cold Rydberg atom is arranged in appropriate electric and magnetic fields, so that the motion of the dipole is constrained to be planar and rotationally symmetric. Spatial noncommutativity leads the canonical angular momentum to possess fractional values. In the limit of vanishing kinetic e...

Deterministic entanglement of two neutral atoms via Rydberg blockade

We demonstrate the deterministic entanglement of two individually addressed neutral atoms using a Rydberg blockade mediated controlled-NOT gate. Parity oscillation measurements reveal a Bell state fidelity of F = 0.58 ± 0.04, which is above the entanglement threshold of F = 0.5, without any correction for atom loss, and F = 0.71 ± 0.05 after correcting for background collisional losses. The fid...

Neutral atoms are entangled in hyperfine states via Rydberg blockade

Bell's inequalities for Rydberg atoms

The analogy between two-level atoms and spins is used to show that Rydberg atoms provide a new medium through which Bell's inequalities may be studied. The low-efficiency particle detectors that have been used in experiments to test Bell's inequalities are replaced by nearly 100% efficient state-selective ionizers in Rydberg-atom experiments. Two methods for producing correlated states of pairs...

Searching for effects of Spatial Noncommutativity via a Penning Trap

The possibility of testing spatial noncommutativity via a Penning trap is explored. The case of both space-space and momentum-momentum noncommuting is considered. Spatial noncommutativity leads to the spectrum of the orbital angular momentum of a Penning trap possessing fractional values, and in the limits of vanishing kinetic energy and subsequent vanishing magnetic field, this system has non-...