Quantum Walk in Momentum Space with a Bose-Einstein Condensate

We present a discrete-time, one-dimensional quantum walk based on the entanglement between the momentum of ultracold rubidium atoms (the walk space) and two internal atomic states (the "coin" degree of freedom). Our scheme is highly flexible and can provide a platform for a wide range of a...

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Bibliographic Details
Published inarXiv.org
Main Authors Dadras, Siamak, Gresch, Alexander, Groiseau, Caspar, Wimberger, Sandro, Summy, Gil S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.09.2018
Subjects
Atomic states
Momentum
Physics - Atomic Physics
Physics - Quantum Gases
Physics - Quantum Physics
Quantum computing
Quantum entanglement
Quantum theory
Rubidium
Search algorithms
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Summary:We present a discrete-time, one-dimensional quantum walk based on the entanglement between the momentum of ultracold rubidium atoms (the walk space) and two internal atomic states (the "coin" degree of freedom). Our scheme is highly flexible and can provide a platform for a wide range of applications such as quantum search algorithms, the observation of topological phases, and the realization of walks with higher dimensionality. Along with the investigation of the quantum-to-classical transition, we demonstrate the distinctive features of a quantum walk and contrast them to those of its classical counterpart. Also, by manipulating either the walk or coin operator, we show how the walk dynamics can be steered or even reversed.
ISSN:2331-8422
DOI:10.48550/arxiv.1802.08160