Fermion parity resolution of entanglement

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F25%3A00643814" target="_blank" >RIV/68378271:_____/25:00643814 - isvavai.cz</a>

Výsledek na webu

<a href="https://hdl.handle.net/11104/0375528" target="_blank" >https://hdl.handle.net/11104/0375528</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP12(2025)134" target="_blank" >10.1007/JHEP12(2025)134</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fermion parity resolution of entanglement

Popis výsledku v původním jazyce

Entanglement is analyzed in the Majorana fermion conformal field theory (CFT) in the vacuum, in the fermion state, and in states built from conformal interfaces. In the boundary-state approach, the Hilbert space admits two factorizations for a single interval, producing distinct entanglement spectra determined by spin structures. Although Rényi and relative entropies are shown to be insensitive to these structures, symmetry-resolved entanglement naturally reveals their differences. The Majorana fermion’s Z2FZ2F​ symmetry, generated by the fermion-parity operator (−1)FF, distinguishes bosonic from fermionic sectors, motivating the notion of fermion-parity resolution. While Z2FZ2F​ is naturally a symmetry of the vacuum and fermion reduced density matrices, the Hilbert space factorization is shown to stabilize this symmetry in conformal interface states. When an unpaired Majorana zero mode is present, fermion-parity-resolved entropies display equipartition at all orders in the UV cutoff, in its absence, the breaking of equipartition is quantified by Ramond-sector data. This behavior persists across all states considered. Connections with symmetry-protected topological phases of matter are outlined. All results are compared with twist field computations.

Název v anglickém jazyce

Fermion parity resolution of entanglement

Popis výsledku anglicky

Entanglement is analyzed in the Majorana fermion conformal field theory (CFT) in the vacuum, in the fermion state, and in states built from conformal interfaces. In the boundary-state approach, the Hilbert space admits two factorizations for a single interval, producing distinct entanglement spectra determined by spin structures. Although Rényi and relative entropies are shown to be insensitive to these structures, symmetry-resolved entanglement naturally reveals their differences. The Majorana fermion’s Z2FZ2F​ symmetry, generated by the fermion-parity operator (−1)FF, distinguishes bosonic from fermionic sectors, motivating the notion of fermion-parity resolution. While Z2FZ2F​ is naturally a symmetry of the vacuum and fermion reduced density matrices, the Hilbert space factorization is shown to stabilize this symmetry in conformal interface states. When an unpaired Majorana zero mode is present, fermion-parity-resolved entropies display equipartition at all orders in the UV cutoff, in its absence, the breaking of equipartition is quantified by Ramond-sector data. This behavior persists across all states considered. Connections with symmetry-protected topological phases of matter are outlined. All results are compared with twist field computations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

1029-8479

Svazek periodika

2025

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

39

Strana od-do

134

Kód UT WoS článku

001642879300004

EID výsledku v databázi Scopus

2-s2.0-105025463952