Tunneling phase gate for neutral atoms in a double-well lattice
Frederick W. Strauch, Mark Edwards, Eite Tiesinga, Carl Williams,, Charles W. Clark

TL;DR
This paper introduces a new two-qubit phase gate for ultra-cold atoms in a double-well optical lattice, utilizing tunneling oscillations controlled by tilt adjustments to achieve high-fidelity quantum operations.
Contribution
It presents a novel tunneling-based phase gate scheme for neutral atoms in a tilted double-well lattice, with detailed control and high-fidelity simulation results.
Findings
High-fidelity tunneling phase gate demonstrated in simulations
Control over barrier height and tilt enables precise qubit manipulation
Potential for scalable quantum computing with neutral atoms
Abstract
We propose a new two--qubit phase gate for ultra--cold atoms confined in an experimentally realized tilted double--well optical lattice [Sebby--Strabley et al., Phys. Rev. A {\bf 73} 033605 (2006)]. Such a lattice is capable of confining pairs of atoms in a two--dimensional array of double--well potentials where control can be exercised over the barrier height and the energy difference of the minima of the two wells (known as the ``tilt''). The four lowest single--particle motional states consist of two pairs of motional states in which each pair is localized on one side of the central barrier, allowing for two atoms confined in such a lattice to be spatially separated qubits. We present a time--dependent scheme to manipulate the tilt to induce tunneling oscillations which produce a collisional phase gate. Numerical simulations demonstrate that this gate can be performed with high…
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