6533b7d0fe1ef96bd125a470
RESEARCH PRODUCT
Electric quantum walks in two dimensions
Germán J. De ValcárcelEugenio RoldánMargarida HinarejosF. SilvaLuis A. Brusubject
PhysicsQuantum PhysicsField (physics)DiagonalFOS: Physical sciences01 natural sciences010305 fluids & plasmasDiscrete Fourier transform (general)Hadamard transformQuantum mechanicsDispersion relationElectric field0103 physical sciencesProbability distributionQuantum walkStatistical physics010306 general physicsQuantum Physics (quant-ph)description
We study electric quantum walks in two dimensions considering Grover, Alternate, Hadamard, and DFT quantum walks. In the Grover walk the behaviour under an electric field is easy to summarize: when the field direction coincides with the x or y axes, it produces a transient trapping of the probability distribution along the direction of the field, while when it is directed along the diagonals, a perfect 2D trapping is frustrated. The analysis of the alternate walk helps to understand the behaviour of the Grover walk as both walks are partially equivalent; in particular, it helps to understand the role played by the existence of conical intersections in the dispersion relations, as we show that when these are removed a perfect 2D trapping can occur for suitable directions of the field. We complete our study with the electric DFT and Hadamard walks in 2D, showing that the latter can exhibit perfect 2D trapping.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-23 |