Publication detail

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

BĚLÍN, J. TYC, T. HORSLEY, S.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

BĚLÍN, J.; TYC, T.; HORSLEY, S.

Released

1. 3. 2021

Publisher

IOP Publishing

Location

BRISTOL

ISBN

1367-2630

Periodical

NEW JOURNAL OF PHYSICS

Year of study

23

Number

3

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

11

Pages count

11

URL

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

Full text in the Digital Library

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"
}