Quantum information and triangular optical lattices

Abstract

The regular structures obtained by optical lattice technology and their behaviour are analysed from the quantum information perspective. Initially, we demonstrate that a triangular optical lattice of two atomic species, bosonic or fermionic, can be employed to generate a variety of novel spin-1/2 models that include effective three-spin interactions. Such interactions can be employed to simulate specific one or two dimensional physical systems that are of particular interest for their condensed matter and entanglement properties. In particular, connections between the scaling behaviour of entanglement and the entanglement properties of closely spaced spins are drawn. Moreover, three-spin interactions are well suited to support quantum computing without the need to manipulate individual qubits. By employing Raman transitions or the interaction of the atomic electric dipole moment with magnetic field gradients, one can generate Hamiltonians that can be used for the physical implementation of geometrical or topological objects. This work serves as a review article that also includes many new results.

17 pages, 16 figues, based on talk presented by J. K. Pachos at CEWQO 2004

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Cited by in corpus (10)

• The Basics of Perfect Communication through Quantum Networks
• Excitation and Entanglement Transfer Versus Spectral Gap
• Topological Quantum Liquids with Long-Range Couplings
• Journeys from Quantum Optics to Quantum Technology
• Chiral entanglement in triangular lattice models
• Frustrated Bose condensates in optical lattices
• Geometric Phases and Critical Phenomena in a Chain of Interacting Spins
• Remarks on Duality Transformations and Generalized Stabilizer States
• Bosonic Fractional Quantum Hall States in Rotating Optical Lattices: Projective Symmetry Group Analysis
• Excitation and Entanglement Transfer Near Quantum Critical Points