Coherent control of atomic transport in spinor optical lattices

Abstract

Coherent transport of atoms trapped in an optical lattice can be controlled by microwave-induced spin flips that correlate with site-to-site hopping. We study the controllability of homogeneous one-dimensional systems of noninteracting atoms in the absence of site addressability. Given these restrictions, we construct a deterministic protocol to map an initially localized Wannier state to a wave packet that that is coherently distributed over n sites. This is extended to analytic solutions for arbitrary unitary maps given homogenous systems and in the presence of time-dependent uniform forces. Such control is important for applications in quantum information processing such as quantum computing and quantum simulations of condensed matter phenomena.

20 pages, 3 figures

References in corpus (21)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• A lattice of double wells for manipulating pairs of cold atoms
• Coherent control of dressed matter waves
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Observation of photon-assisted tunneling in optical lattices
• Exploring dynamic localization with a Bose-Einstein condensate
• Time-resolved measurement of Landau-Zener tunneling in periodic potentials
• Quantum control and measurement of atomic spins in polarization spectroscopy
• Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
• Manipulation of Single Neutral Atoms in Optical Lattices
• State-dependent, addressable subwavelength lattices with cold atoms
• Optimal control of atom transport for quantum gates in optical lattices
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• Accurate Microwave Control and Real-Time Diagnostics of Neutral Atom Qubits
• Atoms in a radiofrequency-dressed optical lattice
• Quantum control of the hyperfine-coupled electron and nuclear spins in alkali atoms
• Bloch oscillations of atoms in an optical multiphoton potential
• Enhancement of On-Site Interactions of Tunnelling Ultracold Atoms in Optical Potentials using Radio-Frequency Dressing
• A method of state-selective transfer of atoms between microtraps based on the Franck-Condon Principle

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• Decoherence due to elastic Rayleigh scattering
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Microwave control of atomic motional states in a spin-dependent optical lattice
• Quantum walks and quantum simulations with Bloch oscillating spinor atoms
• Searching for quantum optimal controls in the presence of singular critical points
• Searching for quantum optimal controls under severe constraints
• Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
• Directed coherent transport due to Bloch oscillation in two dimensions
• Observations of $\lambda /4$ structure in a low-loss radiofrequency-dressed optical lattice