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Quantum Simulation

Landau levels for discrete-time quantum walks in artificial magnetic fields

arXiv
Authors: Pablo Arnault, Fabrice Debbasch

Year

2014

Paper ID

45931

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

A new family of 2D discrete-time quantum walks (DTQWs) is presented and shown to coincide, in the continuous limit, with the Dirac dynamics of a spin 1/2 fermion coupled to a constant and uniform magnetic field. Landau levels are constructed, not only in the continuous limit, but also for the DTQWs i.e. for finite non-vanishing values of the time- and position-step, by a perturbative approach in the step. Numerical simulations support the above results and suggest that the magnetic interpretation is valid beyond the scope of the continuous limit. The possibility of quantum simulation of condensed-matter systems by DTQWs is also discussed.

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  • A new family of 2D discrete-time quantum walks (DTQWs) is presented and shown to coincide, in the continuous limit, with the Dirac dynamics of a spin 1/2 fermion coupled to a...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.4337 [2] arXiv https://arxiv.org/abs/1412.4337 [3] Publisher https://arxiv.org/abs/1412.4337

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