No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models
Fermionic systems differ from bosonic ones in several ways, in particular the time-reversal operator T is odd, T2=−1. For PT-symmetric bosonic systems, the no-signaling principle and the quantum brachistochrone problem have been studied to some degree, both of them controversially. In this paper, we...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
3 August 2018
|
| In: |
Physical review
Year: 2018, Jahrgang: 98, Heft: 2 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.98.022105 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevA.98.022105 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.98.022105 
|
| Verfasserangaben: | Alireza Beygi and S.P. Klevansky |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1586385127 | ||
| 003 | DE-627 | ||
| 005 | 20220815091856.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 190118s2018 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1103/PhysRevA.98.022105 |2 doi | |
| 035 | |a (DE-627)1586385127 | ||
| 035 | |a (DE-576)516385127 | ||
| 035 | |a (DE-599)BSZ516385127 | ||
| 035 | |a (OCoLC)1341033748 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Beygi, Alireza |d 1989- |e VerfasserIn |0 (DE-588)1084806371 |0 (DE-627)848730607 |0 (DE-576)456851933 |4 aut | |
| 245 | 1 | 0 | |a No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models |c Alireza Beygi and S.P. Klevansky |
| 264 | 1 | |c 3 August 2018 | |
| 300 | |a 7 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 05.11.2020 | ||
| 520 | |a Fermionic systems differ from bosonic ones in several ways, in particular the time-reversal operator T is odd, T2=−1. For PT-symmetric bosonic systems, the no-signaling principle and the quantum brachistochrone problem have been studied to some degree, both of them controversially. In this paper, we apply the basic methods proposed for bosonic systems [Y. Lee et al., Phys. Rev. Lett. 112, 130404 (2014); C. M. Bender et al., Phys. Rev. Lett. 98, 040403 (2007)] to fermionic two- and four-dimensional PT-symmetric Hamiltonians and obtain several surprising results: We find, in contrast to the bosonic case, that the no-signaling principle is upheld for two-dimensional fermionic Hamiltonians; however, the PT symmetry is broken. In addition, we find that the time required for the evolution from a given initial state, the spin up, to a given final state, the spin down, is a constant, independent of the parameters of the Hamiltonian, under the eigenvalue constraint. That is, it cannot, as in the bosonic case, be optimized. We do, however, also find a dimensional dependence: Four-dimensional PT-symmetric fermionic Hamiltonians considered here again uphold the no-signaling principle, but it is not essential that the PT symmetry be broken. The symmetry is, however, broken if the measure of entanglement is conserved. In the four-dimensional systems, the evolution time between orthogonal states is dependent on the parameters of the Hamiltonian, with the conclusion that it again can be optimized and approach zero under certain circumstances. However, if we require the conservation of entanglement, the transformation time between these two states becomes the same constant as that found in the two-dimensional case, which coincides with the minimum time for such a transformation to take place in the Hermitian case. | ||
| 700 | 1 | |a Klevansky, Sandra Pamela |d 1959- |e VerfasserIn |0 (DE-588)1084353393 |0 (DE-627)848523520 |0 (DE-576)456294600 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Physical review |d Woodbury, NY : Inst., 2016 |g 98(2018,2) Artikel-Nummer 022105, 7 Seiten |h Online-Ressource |w (DE-627)845695479 |w (DE-600)2844156-4 |w (DE-576)454495854 |x 2469-9934 |7 nnas |a No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models |
| 773 | 1 | 8 | |g volume:98 |g year:2018 |g number:2 |g extent:7 |a No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1103/PhysRevA.98.022105 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://link.aps.org/doi/10.1103/PhysRevA.98.022105 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20190118 | ||
| 993 | |a Article | ||
| 994 | |a 2018 | ||
| 998 | |g 1084353393 |a Klevansky, Sandra Pamela |m 1084353393:Klevansky, Sandra Pamela |d 130000 |d 700000 |d 741000 |d 741010 |e 130000PK1084353393 |e 700000PK1084353393 |e 741000PK1084353393 |e 741010PK1084353393 |k 0/130000/ |k 0/700000/ |k 1/700000/741000/ |k 2/700000/741000/741010/ |p 2 |y j | ||
| 998 | |g 1084806371 |a Beygi, Alireza |m 1084806371:Beygi, Alireza |d 130000 |e 130000PB1084806371 |k 0/130000/ |p 1 |x j | ||
| 999 | |a KXP-PPN1586385127 |e 3046060556 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"origin":[{"dateIssuedDisp":"3 August 2018","dateIssuedKey":"2018"}],"id":{"eki":["1586385127"],"doi":["10.1103/PhysRevA.98.022105"]},"name":{"displayForm":["Alireza Beygi and S.P. Klevansky"]},"physDesc":[{"extent":"7 S."}],"relHost":[{"id":{"issn":["2469-9934"],"zdb":["2844156-4"],"eki":["845695479"]},"origin":[{"publisherPlace":"Woodbury, NY","dateIssuedDisp":"2016-","publisher":"Inst.","dateIssuedKey":"2016"}],"name":{"displayForm":["publ. by The American Institute of Physics"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Physical review","title":"Physical review"}],"part":{"text":"98(2018,2) Artikel-Nummer 022105, 7 Seiten","volume":"98","extent":"7","year":"2018","issue":"2"},"titleAlt":[{"title":"Atomic, molecular, and optical physics and quantum information"}],"pubHistory":["Vol. 93, Iss. 1, January 2016-"],"language":["eng"],"corporate":[{"roleDisplay":"Herausgebendes Organ","display":"American Institute of Physics","role":"isb"},{"role":"isb","display":"American Physical Society","roleDisplay":"Herausgebendes Organ"}],"recId":"845695479","type":{"media":"Online-Ressource","bibl":"periodical"},"disp":"No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional modelsPhysical review"}],"title":[{"title_sort":"No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models","title":"No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models"}],"person":[{"family":"Beygi","given":"Alireza","roleDisplay":"VerfasserIn","display":"Beygi, Alireza","role":"aut"},{"roleDisplay":"VerfasserIn","display":"Klevansky, Sandra Pamela","role":"aut","family":"Klevansky","given":"Sandra Pamela"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 05.11.2020"],"recId":"1586385127","language":["eng"]} | ||
| SRT | |a BEYGIALIRENOSIGNALIN3201 | ||