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 in:Physical review letters 2018-08, Vol.121 (7), p.070402-070402, Article 070402
Main Authors: Dadras, Siamak, Gresch, Alexander, Groiseau, Caspar, Wimberger, Sandro, Summy, Gil S
Format: Article
Language:English
Subjects:
Atomic states
Bose-Einstein condensates
Momentum
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:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.121.070402