Quantum Walk in Position Space with Single Optically Trapped Atoms
Micha{\l} Karski, Leonid F\"orster, Jai-Min Choi, Andreas Steffen,, Wolfgang Alt, Dieter Meschede, Artur Widera

TL;DR
This paper demonstrates a quantum walk using single neutral atoms in a spin-dependent optical lattice, enabling detailed characterization of quantum states and coherence, with implications for quantum information processing.
Contribution
It presents the first implementation of a quantum walk with single neutral atoms in a one-dimensional optical lattice, including site-resolved imaging and quantum state tomography.
Findings
Successful realization of quantum walk with neutral atoms
Observation of quantum-to-classical transition
Demonstration of spatial coherence in the system
Abstract
The quantum walk is the quantum analogue of the well-known random walk, which forms the basis for models and applications in many realms of science. Its properties are markedly different from the classical counterpart and might lead to extensive applications in quantum information science. In our experiment, we implemented a quantum walk on the line with single neutral atoms by deterministically delocalizing them over the sites of a one-dimensional spin-dependent optical lattice. With the use of site-resolved fluorescence imaging, the final wave function is characterized by local quantum state tomography, and its spatial coherence is demonstrated. Our system allows the observation of the quantum-to-classical transition and paves the way for applications, such as quantum cellular automata.
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