Optical Lattices, Ultracold Atoms and Quantum Information Processing

Abstract

We review novel methods to investigate, control and manipulate neutral atoms in optical lattices. These setups allow unprecedented quantum control over large numbers of atoms and thus are very promising for applications in quantum information processing. After introducing optical lattices we discuss the superfluid (SF) and Mott insulating (MI) states of neutral atoms trapped in such lattices and investigate the SF-MI transition as recently observed experimentally. In the second part of the paper we give an overview of proposals for quantum information processing and show different ways to entangle the trapped atoms, in particular the usage of cold collisions and Rydberg atoms. Finally, we also briefly discuss the implementation of quantum simulators, entanglement enhanced atom interferometers, and ideas for robust quantum memory in optical lattices.

arXiv comment29 pages, review article, accepted for publication in Contemporary Physics

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The Physical Implementation of Quantum Computation
• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Fast quantum gates for neutral atoms
• Entanglement of atoms via cold controlled collisions
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Quantum Logic Gates in Optical Lattices
• Deterministic entanglement of two trapped ions
• Spin-spin interaction and spin-squeezing in an optical lattice
• Quantum Computation with a One-Dimensional Optical Lattice
• Quantum computing with spatially delocalized qubits
• Entangling strings of neutral atoms in 1D atomic pipeline structures

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