Quantum Walk in Momentum Space with a Bose-Einstein Condensate

被引:84
作者
Dadras, Siamak [1 ]
Gresch, Alexander [2 ]
Groiseau, Caspar [2 ]
Wimberger, Sandro [2 ,3 ,4 ]
Summy, Gil S. [1 ]
机构
[1] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA
[2] Heidelberg Univ, ITP, Philosophenweg 12, D-69120 Heidelberg, Germany
[3] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 7-A, I-43124 Parma, Italy
[4] Ist Nazl Fis Nucl, Sez Milano Bicocca, Grp Collegato Parma, I-43124 Parma, Italy
关键词
Bose-Einstein condensation - Degrees of freedom (mechanics) - Quantum entanglement;
D O I
10.1103/PhysRevLett.121.070402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
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页数:6
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