Coherent control of atomic transport in spinor optical lattices

TL;DR

This paper presents a method for coherently controlling atomic transport in spinor optical lattices using microwave-induced spin flips, enabling precise manipulation of atomic wave packets for quantum computing and simulation.

Contribution

It introduces a deterministic protocol for mapping localized states to distributed wave packets and provides analytic solutions for arbitrary unitary maps in homogeneous systems.

Findings

Successfully maps localized states to extended wave packets

Provides analytic solutions for unitary control in uniform systems

Demonstrates potential for quantum information applications

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.