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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F21%3APU142063" target="_blank" >RIV/00216305:26620/21:PU142063 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216224:14310/21:00121525

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1367-2630/abe445" target="_blank" >https://iopscience.iop.org/article/10.1088/1367-2630/abe445</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1367-2630/abe445" target="_blank" >10.1088/1367-2630/abe445</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

NEW JOURNAL OF PHYSICS

ISSN

1367-2630

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

11

Strana od-do

1-11

Kód UT WoS článku

000626867900001

EID výsledku v databázi Scopus

2-s2.0-85102980549