Bell-type inequalities for systems of relativistic vector bosons
We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilit...
| Egile Nagusiak: | , , |
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| Formatua: | Journal article |
| Hizkuntza: | English |
| Argitaratua: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023
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| _version_ | 1826310679233036288 |
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| author | Barr, AJ Caban, P Rembieliński, J |
| author_facet | Barr, AJ Caban, P Rembieliński, J |
| author_sort | Barr, AJ |
| collection | OXFORD |
| description | We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilities of spin measurement outcomes for each them. We calculate the expectation values of the CHSH, Mermin and CGLMP inequalities and find that while the generalised CHSH inequality is not expected to be violated for any of the scalar states, in the case of the Mermin and CGLMP inequalities the situation is different – these inequalities can be violated in certain scalar states while they cannot be violated in others. Moreover, the degree of violation depends on the relative speed of the two particles. |
| first_indexed | 2024-03-07T07:56:58Z |
| format | Journal article |
| id | oxford-uuid:1893f2d8-f37b-469b-9872-1a0bc4eb05b5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:56:58Z |
| publishDate | 2023 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | dspace |
| spelling | oxford-uuid:1893f2d8-f37b-469b-9872-1a0bc4eb05b52023-08-29T16:08:17ZBell-type inequalities for systems of relativistic vector bosonsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1893f2d8-f37b-469b-9872-1a0bc4eb05b5EnglishSymplectic ElementsVerein zur Förderung des Open Access Publizierens in den Quantenwissenschaften2023Barr, AJCaban, PRembieliński, JWe perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilities of spin measurement outcomes for each them. We calculate the expectation values of the CHSH, Mermin and CGLMP inequalities and find that while the generalised CHSH inequality is not expected to be violated for any of the scalar states, in the case of the Mermin and CGLMP inequalities the situation is different – these inequalities can be violated in certain scalar states while they cannot be violated in others. Moreover, the degree of violation depends on the relative speed of the two particles. |
| spellingShingle | Barr, AJ Caban, P Rembieliński, J Bell-type inequalities for systems of relativistic vector bosons |
| title | Bell-type inequalities for systems of relativistic vector bosons |
| title_full | Bell-type inequalities for systems of relativistic vector bosons |
| title_fullStr | Bell-type inequalities for systems of relativistic vector bosons |
| title_full_unstemmed | Bell-type inequalities for systems of relativistic vector bosons |
| title_short | Bell-type inequalities for systems of relativistic vector bosons |
| title_sort | bell type inequalities for systems of relativistic vector bosons |
| work_keys_str_mv | AT barraj belltypeinequalitiesforsystemsofrelativisticvectorbosons AT cabanp belltypeinequalitiesforsystemsofrelativisticvectorbosons AT rembielinskij belltypeinequalitiesforsystemsofrelativisticvectorbosons |