Ultra-cold mechanical resonators coupled to atoms in an optical lattice

We propose an experiment utilizing an array of cooled micro-cantilevers coupled to a sample of ultra-cold atoms trapped near a micro-fabricated surface. The cantilevers allow individual lattice site addressing for atomic state control and readout, and potentially may be useful in optical lattice quantum computation schemes. Assuming resonators can be cooled to their vibrational ground state, the implementation of a two-qubit controlled-NOT gate with atomic internal states and the motional states of the resonator is described. We also consider a protocol for entangling two or more cantilevers on the atom chip with different resonance frequencies, using the trapped atoms as an intermediary. Although similar experiments could be carried out with magnetic microchip traps, the optical confinement scheme we consider may exhibit reduced near-field magnetic noise and decoherence. Prospects for using this novel system for tests of quantum mechanics at macroscopic scales or quantum information processing are discussed.Comment: 5 pages, 3 figure

Zeptonewton force sensing with nanospheres in an optical lattice

Optically trapped nanospheres in high-vaccum experience little friction and hence are promising for ultra-sensitive force detection. Here we demonstrate measurement times exceeding $10^5$ seconds and zeptonewton force sensitivity with laser-cooled silica nanospheres trapped in an optical lattice. The sensitivity achieved exceeds that of conventional room-temperature solid-state force sensors, and enables a variety of applications including electric field sensing, inertial sensing, and gravimetry. The optical potential allows the particle to be confined in a number of possible trapping sites, with precise localization at the anti-nodes of the optical standing wave. By studying the motion of a particle which has been moved to an adjacent trapping site, the known spacing of the lattice anti-nodes can be used to calibrate the displacement spectrum of the particle. Finally, we study the dependence of the trap stability and lifetime on the laser intensity and gas pressure, and examine the heating rate of the particle in high vacuum in the absence of optical feedback cooling.Comment: 5 pages, 4 figures, minor changes, typos corrected, references adde

Application of Ohio Post-Conviction Procedure - Effect of Prior Judgment On.; Coley v. Alvis

In the per curiam decision of Coley v. Alvis\u27 the United States Court of Appeals for the Sixth Circuit reversed an Ohio District Court decision dismissing Coley\u27s petition for habeas corpus for failure to exhaust his state remedies. The circuit Court remanded, stating that it would be futile for petitioner to attempt to void his conviction under the Ohio post-conviction statute because of the narrow limits placed on it by the state courts and that there was consequently no longer any effective state remedy. Since the grounds that petitioner set forth to sustain his writ did not fall within any of the enumerated exceptions recognized by Ohio Supreme Court decisions, the court held that petitioner should be allowed to seek relief in the federal court without appealing the ruling on his writ to the Supreme Court of Ohio