Tunneling phase gate for neutral atoms in a double-well lattice

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 fidelity.

5 pages, 4 figures

References in corpus (6)

• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• A lattice of double wells for manipulating pairs of cold atoms
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Microwave potentials and optimal control for robust quantum gates on an atom chip
• Effective-range description of a Bose gas under strong one- or two-dimensional confinement
• Theoretical analysis of the implementation of a quantum phase gate with neutral atoms on atom chips

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• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Simulations of quantum double models
• Bound states of a light atom and two heavy dipoles in two dimensions
• Square wave oscillation of soliton in double-well potential trapped BEC