Pregled bibliografske jedinice broj: 1110893
Spectrum of the density matrix of a large block of spins of the XY model in one dimension
Spectrum of the density matrix of a large block of spins of the XY model in one dimension // Quantum information processing, 10 (2010), 3; 325-341 doi:10.1007/s11128-010-0197-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
Spectrum of the density matrix of a large block of
spins of the XY model in one dimension
Autori
Franchini, Fabio ; Its, A. R. ; Korepin, V. E. ; Takhtajan, L. A.
Izvornik
Quantum information processing (1570-0755) 10
(2010), 3;
325-341
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Entanglement ; Spectrum ; XY Chain
Sažetak
We consider reduced density matrix of a large block of consecutive spins in the ground states of the XY spin chain on an infinite lattice. We derive the spectrum of the density matrix using expression of Rényi entropy in terms of modular functions. The eigenvalues λ n form exact geometric sequence. For example, for strong magnetic field λ n = C exp(−π τ 0 n), here τ 0 > 0 and C > 0 depend on anisotropy and magnetic field. Different eigenvalues are degenerated differently. The largest eigenvalue is unique, but degeneracy g n increases sub-exponentially as eigenvalues diminish: gn∼exp(πn/3−−−√). For weak magnetic field expressions are similar.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi arxiv.org link.springer.com doi.orgCitiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
