Files in this item
Holographic realization of the prime number quantum potential
Item metadata
dc.contributor.author | Cassettari, Donatella | |
dc.contributor.author | Mussardo, Giuseppe | |
dc.contributor.author | Trombettoni, Andrea | |
dc.date.accessioned | 2023-01-31T13:30:28Z | |
dc.date.available | 2023-01-31T13:30:28Z | |
dc.date.issued | 2023-01-31 | |
dc.identifier | 282631517 | |
dc.identifier | c9abc92b-1162-4b55-999a-e4caf4303c0c | |
dc.identifier | 85178170905 | |
dc.identifier.citation | Cassettari , D , Mussardo , G & Trombettoni , A 2023 , ' Holographic realization of the prime number quantum potential ' , PNAS Nexus , vol. 2 , no. 1 , pgac279 . https://doi.org/10.1093/pnasnexus/pgac279 | en |
dc.identifier.issn | 2752-6542 | |
dc.identifier.other | Bibtex: 10.1093/pnasnexus/pgac279 | |
dc.identifier.other | ORCID: /0000-0003-3571-6642/work/128097280 | |
dc.identifier.uri | https://hdl.handle.net/10023/26863 | |
dc.description.abstract | We report the experimental realization of the prime number quantum potential VN(x), defined as the potential entering the single-particle Schrödinger Hamiltonian with eigenvalues given by the first N prime numbers. Using computer-generated holography, we create light intensity profiles suitable to optically trap ultracold atoms in these potentials for different N values. As a further application, we also implement a potential whose spectrum is given by the lucky numbers, a sequence of integers generated by a different sieve than the familiar Eratosthenes’s sieve used for the primes. Our results pave the way towards the realization of quantum potentials with arbitrary sequences of integers as energy levels and show, in perspective, the possibility to set up quantum systems for arithmetic manipulations or mathematical tests involving prime numbers. | |
dc.format.extent | 8 | |
dc.format.extent | 2357622 | |
dc.language.iso | eng | |
dc.relation.ispartof | PNAS Nexus | en |
dc.subject | Quantum devices | en |
dc.subject | Schrödinger Hamiltonian | en |
dc.subject | Optical traps | en |
dc.subject | Prime numbers | en |
dc.subject | QC Physics | en |
dc.subject | QB Astronomy | en |
dc.subject | DAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QC | en |
dc.subject.lcc | QB | en |
dc.title | Holographic realization of the prime number quantum potential | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Condensed Matter Physics | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.identifier.doi | 10.1093/pnasnexus/pgac279 | |
dc.description.status | Peer reviewed | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.