Detail publikačního výsledku

Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect

BĚLÍN, J.; TYC, T.; HORSLEY, S.

Originální název

Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect

Anglický název

Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect

Druh

Článek WoS

Originální abstrakt

We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Mobius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Using the orbifold structure of the discussed manifolds, we establish the relation of wave evolution on the manifolds to Fresnel diffraction and consequently to the Talbot effect. This connection provides a novel method of optical simulation of the quantum motion on compact manifolds. We discuss some novel phenomena as well as the effects of topology on the properties of the waves on the manifolds.

Anglický abstrakt

We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Mobius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Using the orbifold structure of the discussed manifolds, we establish the relation of wave evolution on the manifolds to Fresnel diffraction and consequently to the Talbot effect. This connection provides a novel method of optical simulation of the quantum motion on compact manifolds. We discuss some novel phenomena as well as the effects of topology on the properties of the waves on the manifolds.

Klíčová slova

curved spaces; quantum revivals; Talbot effect; topology; orbifolds

Klíčová slova v angličtině

curved spaces; quantum revivals; Talbot effect; topology; orbifolds

Autoři

BĚLÍN, J.; TYC, T.; HORSLEY, S.

Rok RIV

2022

Vydáno

01.03.2021

Nakladatel

IOP Publishing

Místo

BRISTOL

ISSN

1367-2630

Periodikum

NEW JOURNAL OF PHYSICS

Svazek

23

Číslo

3

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

11

Strany počet

11

URL

https://iopscience.iop.org/article/10.1088/1367-2630/abe445

Plný text v Digitální knihovně

http://hdl.handle.net/11012/204089

BibTex

@article{BUT173122,
  author="Jakub {Bělín} and Tomáš {Tyc} and Simon A. R. {Horsley}",
  title="Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect",
  journal="NEW JOURNAL OF PHYSICS",
  year="2021",
  volume="23",
  number="3",
  pages="1--11",
  doi="10.1088/1367-2630/abe445",
  issn="1367-2630",
  url="https://iopscience.iop.org/article/10.1088/1367-2630/abe445"
}

Dokumenty

Belin_2021

Odpovědnost: Ing. Marek Strakoš