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Quantum Walk in Momentum Space with a Bose-Einstein Condensate
Siamak Dadras1, Alexander Gresch2, Caspar Groiseau2
1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078-3072, USA.
Physical Review Letters
|September 1, 2018
Summary
We demonstrate a flexible quantum walk using ultracold atoms, enabling quantum search algorithms and topological phase studies. This controllable quantum walk contrasts with classical walks and can be reversed.
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter physics
Background:
- Quantum walks are fundamental to quantum computation and simulation.
- Controlling quantum dynamics is crucial for developing quantum technologies.
Purpose of the Study:
- To present a novel discrete-time, one-dimensional quantum walk.
- To explore its applications in quantum algorithms and topological phase observation.
- To investigate the quantum-to-classical transition and control quantum walk dynamics.
Main Methods:
- Utilizing entanglement between ultracold rubidium atom momentum and internal atomic states.
- Implementing discrete-time, one-dimensional quantum walk.
- Manipulating walk and coin operators.
Main Results:
- Demonstrated a flexible quantum walk platform.
- Showcased potential for quantum search algorithms and topological phase studies.
- Contrasted quantum walk features with classical counterparts.
- Showed steerable and reversible quantum walk dynamics.
Conclusions:
- The presented quantum walk scheme is highly versatile.
- It offers a platform for diverse quantum applications and fundamental studies.
- Quantum walk dynamics can be precisely controlled and manipulated.
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