Fast initialization of a high-fidelity quantum register using optical superlattices

Abstract

We propose a method for the fast generation of a quantum register of addressable qubits consisting of ultracold atoms stored in an optical lattice. Starting with a half filled lattice we remove every second lattice barrier by adiabatically switching on a superlattice potential which leads to a long wavelength lattice in the Mott insulator state with unit filling. The larger periodicity of the resulting lattice could make individual addressing of the atoms via an external laser feasible. We develop a Bose-Hubbard-like model for describing the dynamics of cold atoms in a lattice when doubling the lattice periodicity via the addition of a superlattice potential. The dynamics of the transition from a half filled to a commensurately filled lattice is analyzed numerically with the help of the Time Evolving Block Decimation algorithm and analytically using the Kibble-Zurek theory. We show that the time scale for the whole process, i.e. creating the half filled lattice and subsequent doubling of the lattice periodicity, is significantly faster than adiabatic direct quantum freezing of a superfluid into a Mott insulator for large lattice periods. Our method therefore provides a high fidelity quantum register of addressable qubits on a fast time scale.

22 pages, 9 figures, IOP style. Revised version to appear in NJP

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Cited by in corpus (10)

• Maximally localized Wannier functions: Theory and applications
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Probing local relaxation of cold atoms in optical superlattices
• Optimal control of atom transport for quantum gates in optical lattices
• Ab initio derivation of Hubbard models for cold atoms in optical lattices
• Creation of resilient entangled states and a resource for measurement-based quantum computation with optical superlattices
• Cluster state generation using van der Waals and dipole-dipole interactions in optical lattices
• Self-consistent tight-binding description of Dirac points moving and merging in two dimensional optical lattices
• Orbital-driven melting of a bosonic Mott insulator in a shaken optical lattice
• Wannier functions using a discrete variable representation for optical lattices