Quantum occupation time

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00362706" target="_blank" >RIV/68407700:21340/23:00362706 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1088/1402-4896/aca567" target="_blank" >https://doi.org/10.1088/1402-4896/aca567</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1402-4896/aca567" target="_blank" >10.1088/1402-4896/aca567</a>

Result language

angličtina

Original language name

Quantum occupation time

Original language description

We present a possible quantum analogue of occupation time, a random variable studied in random processes, using a quasi-probability distribution over the sample space of quantum particle paths defined by a generalized weak measurement scheme. Taking this approach, a broad range of statistical properties of quantum occupation time can be studied. We illustrate the theory on a discrete-time quantum walk on a line, where we derive two novel results. We introduce the notions of weak recurrence, weak Pólya number, and weak occupation time plateau.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10306 - Optics (including laser optics and quantum optics)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

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

Name of the periodical

Physica Scripta

ISSN

0031-8949

e-ISSN

1402-4896

Volume of the periodical

98

Issue of the periodical within the volume

1

Country of publishing house

SE - SWEDEN

Number of pages

16

Pages from-to

1-16

UT code for WoS article

000917960800001

EID of the result in the Scopus database

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