Quantum walk on the line with quantum rings

Orsolya Kálmán, T. Kiss, P. Földi

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the electron while the discrete position of the walker corresponds to the label of the rings in one of the spatial directions in the network. We assume that Rashba-type spin-orbit interaction is present in the rings, the strength of which can be tuned by an external electric field. The geometry of the device, together with the appropriate spin-orbit interaction strengths, ensure the realization of the coin toss (i.e., spin flip) and the step operator.

Original languageEnglish
Article number035327
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume80
Issue number3
DOIs
Publication statusPublished - Aug 6 2009

Fingerprint

Orbits
spin-orbit interactions
Magnetoelectronics
Electrons
rings
Labels
Electric fields
Semiconductor materials
Geometry
electrons
degrees of freedom
operators
electric fields
geometry
Direction compound

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Quantum walk on the line with quantum rings. / Kálmán, Orsolya; Kiss, T.; Földi, P.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 80, No. 3, 035327, 06.08.2009.

Research output: Contribution to journalArticle

@article{2e818a6d717340978778ebaa44225d2f,
title = "Quantum walk on the line with quantum rings",
abstract = "We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the electron while the discrete position of the walker corresponds to the label of the rings in one of the spatial directions in the network. We assume that Rashba-type spin-orbit interaction is present in the rings, the strength of which can be tuned by an external electric field. The geometry of the device, together with the appropriate spin-orbit interaction strengths, ensure the realization of the coin toss (i.e., spin flip) and the step operator.",
author = "Orsolya K{\'a}lm{\'a}n and T. Kiss and P. F{\"o}ldi",
year = "2009",
month = "8",
day = "6",
doi = "10.1103/PhysRevB.80.035327",
language = "English",
volume = "80",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Quantum walk on the line with quantum rings

AU - Kálmán, Orsolya

AU - Kiss, T.

AU - Földi, P.

PY - 2009/8/6

Y1 - 2009/8/6

N2 - We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the electron while the discrete position of the walker corresponds to the label of the rings in one of the spatial directions in the network. We assume that Rashba-type spin-orbit interaction is present in the rings, the strength of which can be tuned by an external electric field. The geometry of the device, together with the appropriate spin-orbit interaction strengths, ensure the realization of the coin toss (i.e., spin flip) and the step operator.

AB - We propose a scheme to implement the one-dimensional coined quantum walk with electrons transported through a two-dimensional network of spintronic semiconductor quantum rings. The coin degree of freedom is represented by the spin of the electron while the discrete position of the walker corresponds to the label of the rings in one of the spatial directions in the network. We assume that Rashba-type spin-orbit interaction is present in the rings, the strength of which can be tuned by an external electric field. The geometry of the device, together with the appropriate spin-orbit interaction strengths, ensure the realization of the coin toss (i.e., spin flip) and the step operator.

UR - http://www.scopus.com/inward/record.url?scp=69549111269&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69549111269&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.80.035327

DO - 10.1103/PhysRevB.80.035327

M3 - Article

VL - 80

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 3

M1 - 035327

ER -